Velo, G.
Overview
Works:  74 works in 225 publications in 2 languages and 2,569 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Editor, Author, Collector, Publishing director, Contributor, htt, Other 
Classifications:  QC174.26.W28, 530.143 
Publication Timeline
.
Most widely held works by
G Velo
Invariant wave equations : proceedings of the "Ettore Majorana" International School of Mathematical Physics held in Erice,
June 27 to July 9, 1977 by
G Velo(
Book
)
30 editions published between 1977 and 1978 in 3 languages and held by 437 WorldCat member libraries worldwide
30 editions published between 1977 and 1978 in 3 languages and held by 437 WorldCat member libraries worldwide
Constructive quantum field theory. The 1973 "Ettore Majorana" international school of mathematical physics by
G Velo(
Book
)
25 editions published in 1973 in English and held by 406 WorldCat member libraries worldwide
25 editions published in 1973 in English and held by 406 WorldCat member libraries worldwide
Regular and chaotic motions in dynamic systems by
G Velo(
Book
)
15 editions published in 1985 in English and held by 326 WorldCat member libraries worldwide
The fifth International School ~ Mathematical Physics was held at the Ettore Majorana Centro della Culture Scientifica, Erice, Sicily, 2 to 14 July 1983. The present volume collects lecture notes on the session which was devoted to'Regular and Chaotic Motions in Dynamlcal Systems. The School was a NATO Advanced Study Institute sponsored by the Italian Ministry of Public Education, the Italian Ministry of Scientific and Technological Research and the Regional Sicilian Government. Many of the fundamental problems of this subject go back to Poincare and have been recognized in recent years as being of basic importance in a variety of physical contexts: stability of orbits in accelerators, and in plasma and galactic dynamics, occurrence of chaotic motions in the excitations of solids, etc. This period of intense interest on the part of physicists followed nearly a half a century of neglect in which research in the subject was almost entirely carried out by mathematicians. It is an in dication of the difficulty of some of the problems involved that even after a century we do not have anything like a satisfactory solution
15 editions published in 1985 in English and held by 326 WorldCat member libraries worldwide
The fifth International School ~ Mathematical Physics was held at the Ettore Majorana Centro della Culture Scientifica, Erice, Sicily, 2 to 14 July 1983. The present volume collects lecture notes on the session which was devoted to'Regular and Chaotic Motions in Dynamlcal Systems. The School was a NATO Advanced Study Institute sponsored by the Italian Ministry of Public Education, the Italian Ministry of Scientific and Technological Research and the Regional Sicilian Government. Many of the fundamental problems of this subject go back to Poincare and have been recognized in recent years as being of basic importance in a variety of physical contexts: stability of orbits in accelerators, and in plasma and galactic dynamics, occurrence of chaotic motions in the excitations of solids, etc. This period of intense interest on the part of physicists followed nearly a half a century of neglect in which research in the subject was almost entirely carried out by mathematicians. It is an in dication of the difficulty of some of the problems involved that even after a century we do not have anything like a satisfactory solution
Rigorous atomic and molecular physics by
G Velo(
Book
)
19 editions published between 1980 and 1981 in English and held by 302 WorldCat member libraries worldwide
One of the goals of mathematical physics is to provide a rigorous derivation of the properties of macroscopic matter starting from Schrodinger's equation. Although at the present time this objective is far from being realized, there has been striking recent progress, and the fourth "Ettore Majorana" International School of Mathematical Physics held at Erice, 115 June 1980 with the title Rigorous Atomic and Mqlecular Physics focussed on some of the recent advances. The first of these is the geometric method in the theory of scattering. Quantum mechanical scattering theory is an old and highly cultivated subject, but, until recently, many of its fundamental developments were technically very complicated and conceptually rather obscure. For example, one of the basic properties of a system of N particles moving under the influence of appropriately restricted shortrange plus Coulomb forces is asymptotic completeness: the space of states is spanned by the bound states and scattering states. However, the proof of asymp totic. completeness for N bodies was achieved only with physically unsatisfactory restrictions on the nature of the interaction and even for N = 2 required an involved argument rather more subtle than the physical circumstances seemed to warrant. The reader will find in the present volume a very simple and physical proof of asymptotic completeness for N = 2 as well as an outline of the geometrical ideas which are currently being used to attack the problem for N> 2. (See the lectures of Enss
19 editions published between 1980 and 1981 in English and held by 302 WorldCat member libraries worldwide
One of the goals of mathematical physics is to provide a rigorous derivation of the properties of macroscopic matter starting from Schrodinger's equation. Although at the present time this objective is far from being realized, there has been striking recent progress, and the fourth "Ettore Majorana" International School of Mathematical Physics held at Erice, 115 June 1980 with the title Rigorous Atomic and Mqlecular Physics focussed on some of the recent advances. The first of these is the geometric method in the theory of scattering. Quantum mechanical scattering theory is an old and highly cultivated subject, but, until recently, many of its fundamental developments were technically very complicated and conceptually rather obscure. For example, one of the basic properties of a system of N particles moving under the influence of appropriately restricted shortrange plus Coulomb forces is asymptotic completeness: the space of states is spanned by the bound states and scattering states. However, the proof of asymp totic. completeness for N bodies was achieved only with physically unsatisfactory restrictions on the nature of the interaction and even for N = 2 required an involved argument rather more subtle than the physical circumstances seemed to warrant. The reader will find in the present volume a very simple and physical proof of asymptotic completeness for N = 2 as well as an outline of the geometrical ideas which are currently being used to attack the problem for N> 2. (See the lectures of Enss
Fundamental problems of gauge field theory by
G Velo(
Book
)
18 editions published between 1986 and 2013 in English and held by 276 WorldCat member libraries worldwide
The sixth Ettore Majorana International School of Mathematical Physics was held at the Centro della Cultura Scientifica Erice, Sicily, 114 July 1985. The present volume collects lecture notes on the ses sion which was devoted to Fundamental Problems of Gauge Field Theory. The School was a NATO Advanced Study Institute sponsored by the Italian Ministry of Public Education, the Italian Ministry of Scientific and Technological Research and the Regional Sicilian Government. As a result of the experimental and theoretical developments of the last two decades, gauge field theory, in one form or another, now pro vides the standard language for the description of Nature; QCD and the standard model of the electroweak interactions illustrate this point. It is a basic task of mathematical physics to provide a solid foundation for these developments by putting the theory in a physically transparent and mathematically rigorous form. The lectures and seminars of the school concentrated on the many unsolved problems which arise here, and on the general ideas and methods which have been proposed for their solution. In particular, we mention the use of rigorous renormalization group methods to obtain control over the continuum limit of lattice gauge field theories, the explora tion of the extraordinary enigmatic connections between KacMoody Virasoro algebras and string theory, and the systematic use of the theory of local algebras and indefinite metric spaces to classify the charged C* states in gauge field theories
18 editions published between 1986 and 2013 in English and held by 276 WorldCat member libraries worldwide
The sixth Ettore Majorana International School of Mathematical Physics was held at the Centro della Cultura Scientifica Erice, Sicily, 114 July 1985. The present volume collects lecture notes on the ses sion which was devoted to Fundamental Problems of Gauge Field Theory. The School was a NATO Advanced Study Institute sponsored by the Italian Ministry of Public Education, the Italian Ministry of Scientific and Technological Research and the Regional Sicilian Government. As a result of the experimental and theoretical developments of the last two decades, gauge field theory, in one form or another, now pro vides the standard language for the description of Nature; QCD and the standard model of the electroweak interactions illustrate this point. It is a basic task of mathematical physics to provide a solid foundation for these developments by putting the theory in a physically transparent and mathematically rigorous form. The lectures and seminars of the school concentrated on the many unsolved problems which arise here, and on the general ideas and methods which have been proposed for their solution. In particular, we mention the use of rigorous renormalization group methods to obtain control over the continuum limit of lattice gauge field theories, the explora tion of the extraordinary enigmatic connections between KacMoody Virasoro algebras and string theory, and the systematic use of the theory of local algebras and indefinite metric spaces to classify the charged C* states in gauge field theories
Constructive quantum field theory II by
G Velo(
Book
)
22 editions published between 1973 and 1990 in 3 languages and held by 249 WorldCat member libraries worldwide
The seventh Ettore Majorana International School of Mathematical Physics was :Jeld at the Centro della Cultura Scientifica Erice. Sicily, 115 July 1988. The present volume collects lecture notes on the session which was entitled Con8tructive Quantum Field Theory lI. The II refers to the fact that the first such school in 1973 was devoted,0 the same subject. The school was a NATO Advanced Study Institute sponsored Jy the Italian Ministry of Scientific and Technological Research and the Regional 3icilian Government. At the time of the 1973 Erice School on Constructive Field Theory, the speakers :ould summarize a decade of effort on the solution of superrenormalizable models in two dimensional spacetime leading to the verification of the axioms of relativistic :J. uantum field theory for these examples. The resulting lecture notes have proved,0 be exceptionally useful and are still in print. In the decade and a half that have ~lapsed since that time, there has been much hard work with the ultimate objective of providing a rigorous mathematical foundation for the quantum field theories in four iimensional spacetime that summarize a large fraction of our current understanding)f elementary particle physics: QCD and the electroweak theory. The lecture notes)f the 1988 school record the fact that, although this objective has not been reached, Important progress has been made. The ultraviolet stability of YangMills theory In four dimensions has been treated and renormalizable (not superrenormalizable) models in two dimensional spacetime, GrossNeveu models, have been solved
22 editions published between 1973 and 1990 in 3 languages and held by 249 WorldCat member libraries worldwide
The seventh Ettore Majorana International School of Mathematical Physics was :Jeld at the Centro della Cultura Scientifica Erice. Sicily, 115 July 1988. The present volume collects lecture notes on the session which was entitled Con8tructive Quantum Field Theory lI. The II refers to the fact that the first such school in 1973 was devoted,0 the same subject. The school was a NATO Advanced Study Institute sponsored Jy the Italian Ministry of Scientific and Technological Research and the Regional 3icilian Government. At the time of the 1973 Erice School on Constructive Field Theory, the speakers :ould summarize a decade of effort on the solution of superrenormalizable models in two dimensional spacetime leading to the verification of the axioms of relativistic :J. uantum field theory for these examples. The resulting lecture notes have proved,0 be exceptionally useful and are still in print. In the decade and a half that have ~lapsed since that time, there has been much hard work with the ultimate objective of providing a rigorous mathematical foundation for the quantum field theories in four iimensional spacetime that summarize a large fraction of our current understanding)f elementary particle physics: QCD and the electroweak theory. The lecture notes)f the 1988 school record the fact that, although this objective has not been reached, Important progress has been made. The ultraviolet stability of YangMills theory In four dimensions has been treated and renormalizable (not superrenormalizable) models in two dimensional spacetime, GrossNeveu models, have been solved
Renormalization theory : proceedings of the NATO Advanced Study Institute held at the International School of Mathematical
Physics at the "Ettore Majorana" Centre for Scientific Culture in Erice (Sicily) Italy, 1731 August 1975 by
G Velo(
Book
)
21 editions published between 1975 and 1976 in English and held by 222 WorldCat member libraries worldwide
The present volume collects lecture notes from the session of the International School of Mathematical Physics 'Ettore Majorana' on Renormalization Theory that took place in Erice (Sicily), August 17 to August 31, 1975. The School was a NATO Advanced Study Institute sponsored by the Italian Ministry of Public Education, the Italian Minis try of Scientific and Technological Research, and the Regional Sicilian Government. Renormalization theory has, by now, acquired forty years of history. The present volume assumes a general acquaintance with the elementary facts of the subject as they might appear in an introductory course in quantum field theory. For more recent significant developments it provides a systematic intro duction as well as a detailed discussion of the existing state of knowledge. In particular analytic and dimensional renorma lization, normal product technique, and the BogoliubovShirkov EpsteinGlaser method are treated, with applications to physically important gauge theories. All the preceding deals with perturbative renormalization theory. In recent years there has been an interesting development of nonperturbative renormalization theory in models in spacetimes of two and three dimensions, with the use of the methods of constructive field theory. Despite the simplicity of these models, the results are of significance because they are exact and answer a number of questions of principle. There are parts of renormalization theory which are not well understood, for instance the renormalization theory of nonrenormalizable interactions
21 editions published between 1975 and 1976 in English and held by 222 WorldCat member libraries worldwide
The present volume collects lecture notes from the session of the International School of Mathematical Physics 'Ettore Majorana' on Renormalization Theory that took place in Erice (Sicily), August 17 to August 31, 1975. The School was a NATO Advanced Study Institute sponsored by the Italian Ministry of Public Education, the Italian Minis try of Scientific and Technological Research, and the Regional Sicilian Government. Renormalization theory has, by now, acquired forty years of history. The present volume assumes a general acquaintance with the elementary facts of the subject as they might appear in an introductory course in quantum field theory. For more recent significant developments it provides a systematic intro duction as well as a detailed discussion of the existing state of knowledge. In particular analytic and dimensional renorma lization, normal product technique, and the BogoliubovShirkov EpsteinGlaser method are treated, with applications to physically important gauge theories. All the preceding deals with perturbative renormalization theory. In recent years there has been an interesting development of nonperturbative renormalization theory in models in spacetimes of two and three dimensions, with the use of the methods of constructive field theory. Despite the simplicity of these models, the results are of significance because they are exact and answer a number of questions of principle. There are parts of renormalization theory which are not well understood, for instance the renormalization theory of nonrenormalizable interactions
Constructive Quantum Field Theory by
G Velo(
)
2 editions published in 1973 in English and held by 68 WorldCat member libraries worldwide
2 editions published in 1973 in English and held by 68 WorldCat member libraries worldwide
Invariant Wave Equations : Proceedings of the "Ettore Majorana" International School of Mathematical Physics Held in Erice,
June 27 to July 9, 1977 by
G Velo(
)
2 editions published in 1978 in English and held by 67 WorldCat member libraries worldwide
2 editions published in 1978 in English and held by 67 WorldCat member libraries worldwide
Renormalization Theory : Proceedings of the NATO Advanced Study Institute held at the International School of Mathematical
Physics at the 'Ettore Majorana' Centre for Scientific Culture in Erice (Sicily) Italy, 1731 August, 1975 by
G Velo(
)
1 edition published in 1976 in English and held by 51 WorldCat member libraries worldwide
The present volume collects lecture notes from the session of the International School of Mathematical Physics 'Ettore Majorana' on Renormalization Theory that took place in Erice (Sicily), August 17 to August 31, 1975. The School was a NATO Advanced Study Institute sponsored by the Italian Ministry of Public Education, the Italian Minis try of Scientific and Technological Research, and the Regional Sicilian Government. Renormalization theory has, by now, acquired forty years of history. The present volume assumes a general acquaintance with the elementary facts of the subject as they might appear in an introductory course in quantum field theory. For more recent significant developments it provides a systematic intro duction as well as a detailed discussion of the existing state of knowledge. In particular analytic and dimensional renorma lization, normal product technique, and the BogoliubovShirkov EpsteinGlaser method are treated, with applications to physically important gauge theories. All the preceding deals with perturbative renormalization theory. In recent years there has been an interesting development of nonperturbative renormalization theory in models in spacetimes of two and three dimensions, with the use of the methods of constructive field theory. Despite the simplicity of these models, the results are of significance because they are exact and answer a number of questions of principle. There are parts of renormalization theory which are not well understood, for instance the renormalization theory of nonrenormalizable interactions
1 edition published in 1976 in English and held by 51 WorldCat member libraries worldwide
The present volume collects lecture notes from the session of the International School of Mathematical Physics 'Ettore Majorana' on Renormalization Theory that took place in Erice (Sicily), August 17 to August 31, 1975. The School was a NATO Advanced Study Institute sponsored by the Italian Ministry of Public Education, the Italian Minis try of Scientific and Technological Research, and the Regional Sicilian Government. Renormalization theory has, by now, acquired forty years of history. The present volume assumes a general acquaintance with the elementary facts of the subject as they might appear in an introductory course in quantum field theory. For more recent significant developments it provides a systematic intro duction as well as a detailed discussion of the existing state of knowledge. In particular analytic and dimensional renorma lization, normal product technique, and the BogoliubovShirkov EpsteinGlaser method are treated, with applications to physically important gauge theories. All the preceding deals with perturbative renormalization theory. In recent years there has been an interesting development of nonperturbative renormalization theory in models in spacetimes of two and three dimensions, with the use of the methods of constructive field theory. Despite the simplicity of these models, the results are of significance because they are exact and answer a number of questions of principle. There are parts of renormalization theory which are not well understood, for instance the renormalization theory of nonrenormalizable interactions
The 1973 'Ettore Majorana' International School of Mathematical Physics by Ettore Majorana International School of Mathematical Physics(
Book
)
1 edition published in 1973 in English and held by 8 WorldCat member libraries worldwide
1 edition published in 1973 in English and held by 8 WorldCat member libraries worldwide
Renormalization theory proceedings of the NATO advanced study institute, held at the International School of Mathematical
Physics at the 'Ettore Majorana' Centre for Scientific Culture in Erice (Sicily), Italy, 17  31 August, 1975(
Book
)
1 edition published in 1976 in English and held by 8 WorldCat member libraries worldwide
1 edition published in 1976 in English and held by 8 WorldCat member libraries worldwide
Renormalization theory : proceedings of the NATO advanced study institute ; Erice, 1731 August 1975(
Book
)
3 editions published in 1976 in English and held by 8 WorldCat member libraries worldwide
3 editions published in 1976 in English and held by 8 WorldCat member libraries worldwide
Renormalization theory : proceeding by
A. S Wightman(
Book
)
4 editions published between 1975 and 1976 in English and held by 7 WorldCat member libraries worldwide
4 editions published between 1975 and 1976 in English and held by 7 WorldCat member libraries worldwide
Renormalization Theory : Proceedings of the NATO Advanced Study Institute held at the International School of Mathematical
Physics at the 'Ettore Majorana' Centre for Scientific Culture in Erice (Sicily) Italy, 1731 August, 1975(
)
in English and held by 6 WorldCat member libraries worldwide
in English and held by 6 WorldCat member libraries worldwide
Rigorous atomic and molecular physics : Proceedings of the 4. Int. School of Mathemat. Physics, held June 115, 1980, in Erice,
Sicily, Italy(
Book
)
1 edition published in 1981 in English and held by 6 WorldCat member libraries worldwide
1 edition published in 1981 in English and held by 6 WorldCat member libraries worldwide
Constructive Quantum Field Theory II(
)
in English and held by 6 WorldCat member libraries worldwide
in English and held by 6 WorldCat member libraries worldwide
Rigorous Atomic and Molecular Physics(
)
in English and held by 6 WorldCat member libraries worldwide
in English and held by 6 WorldCat member libraries worldwide
Fundamental Problems of Gauge Field Theory(
)
in English and held by 6 WorldCat member libraries worldwide
in English and held by 6 WorldCat member libraries worldwide
more
fewer
Audience Level
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Related Identities
 Wightman, A. S. (Arthur Strong) 19222013 Other Publishing director Author Editor Collector
 North Atlantic Treaty Organization Scientific Affairs Division Other
 Wightman, A. S. Collector
 SpringerLink (Online service) Other
 Ettore Majorana Centre for Scientific Culture
 Ettore Majorana International School of Mathematical Physics (1, 1973, Erice)
 NATO Other
 Ginibre, J. Author Contributor
 International School of Mathematical Physics (4, 1980, Erice)
 Advanced Study Institute on Constructive Quantum Field Theory. <2, 1988, Erice>
Associated Subjects