Quantum fields and strings : a course for mathematicians
Author(s)
Bibliographic Information
Quantum fields and strings : a course for mathematicians
American Mathematical Society, c1999
- : set
- v. 1
- v. 2
Related Bibliography 2 items
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v. 1421.3//Q1//898715100189859,15100189875,
v. 2421.3//Q1//898815100189867,15100189883
Note
Written record of a special year-long program organized by the Institute for Advanced Study (Princeton, NJ) in 1996-97
Includes bibliographical references and index
Description and Table of Contents
- Volume
-
: set ISBN 9780821811986
Description
Ideas from quantum field theory and string theory have had considerable impact on mathematics over the past 20 years. Advances in many different areas have been inspired by insights from physics. In 1996-97 the Institute for Advanced Study (Princeton, New Jersey) organized a special year-long programme designed to teach mathematicians the basic physical ideas which underlie the mathematical applications. The purpose was to create and convey an understanding, in terms useful to mathematicians, of some fundamental notions of physics and develop the sort of intuition common among physicists for those who are used to thought processes stemming from geometry and algebra. These volumes are a written record of the programme. They contain notes from several long and many short courses covering various aspects of quantum field theory and perturbative string theory. The courses were given by leading physicists and the notes were written either by the speakers or by mathematicians who participated in the programme. The book also includes problems and solutions worked out by the editors and participants.
Interspersed are mathematical texts with background material and commentary on some topics covered in the lectures.
Table of Contents
- Volume 1 - Part 1 Classical fields and supersymmetry: notes on supersymmetry
- notes on spinors
- classical field theory
- supersolutions
- sign manifesto. Volume 1 - Part 2 Formal aspects of QFT: note on quantization
- introduction to QFT
- perturbative quantum field theory
- index of Dirac operators
- elementary introduction to quantum field theory
- renormalization groups
- note on dimensional regularization
- homework. Volume 2 - Part 3 Conformal field theory and strings: lectures on conformal field theory
- perturbative string theory
- super space descriptions of super gravity
- notes on 2d donformal field theory and string theory
- Kaluza-Klein compactifications, supersymmetry and Calabi-Yau spaces. Volume 2 - Part 4 Dynamical aspects of QFT: dynamics of quantum field theory
- $N = 1$ supersymmetric field theories in four dimensions.
- Volume
-
v. 1 ISBN 9780821820124
Description
Ideas from quantum field theory and string theory have had considerable impact on mathematics over the past 20 years. Advances in many different areas have been inspired by insights from physics. In 1996-97 the Institute for Advanced Study (Princeton, NJ) organized a special year-long program designed to teach mathematicians the basic physical ideas which underlie the mathematical applications. The purpose is eloquently stated in a letter written by Robert MacPherson: 'The goal is to create and convey an understanding, in terms congenial to mathematicians, of some fundamental notions of physics...[and to] develop the sort of intuition common among physicists for those who are used to thought processes stemming from geometry and algebra'.These volumes are a written record of the program. They contain notes from several long and many short courses covering various aspects of quantum field theory and perturbative string theory. The courses were given by leading physicists and the notes were written either by the speakers or by mathematicians who participated in the program. The book also includes problems and solutions worked out by the editors and other leading participants. Interspersed are mathematical texts with background material and commentary on some topics covered in the lectures. These two volumes present the first truly comprehensive introduction to this field aimed at a mathematics audience. They offer a unique opportunity for mathematicians and mathematical physicists to learn about the beautiful and difficult subjects of quantum field theory and string theory.
- Volume
-
v. 2 ISBN 9780821820131
Description
Ideas from quantum field theory and string theory have had considerable impact on mathematics over the past 20 years. Advances in many different areas have been inspired by insights from physics. In 1996-97 the Institute for Advanced Study (Princeton, NJ) organized a special year-long program designed to teach mathematicians the basic physical ideas which underlie the mathematical applications. The purpose is eloquently stated in a letter written by Robert MacPherson: 'The goal is to create and convey an understanding, in terms congenial to mathematicians, of some fundamental notions of physics...[and to] develop the sort of intuition common among physicists for those who are used to thought processes stemming from geometry and algebra'.These volumes are a written record of the program. They contain notes from several long and many short courses covering various aspects of quantum field theory and perturbative string theory. The courses were given by leading physicists and the notes were written either by the speakers or by mathematicians who participated in the program. The book also includes problems and solutions worked out by the editors and other leading participants. Interspersed are mathematical texts with background material and commentary on some topics covered in the lectures. These two volumes present the first truly comprehensive introduction to this field aimed at a mathematics audience. They offer a unique opportunity for mathematicians and mathematical physicists to learn about the beautiful and difficult subjects of quantum field theory and string theory.
by "Nielsen BookData"