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<図書>
Mathematical aspects of quantum field theory

責任表示 Edson de Faria, Welington de Melo
シリーズ Cambridge studies in advanced mathematics ; 127
データ種別 図書
出版者 Cambridge, UK ; Tokyo : Cambridge University Press
出版年 2010
本文言語 英語
大きさ xiii, 298 p. : ill. ; 24 cm
概要 "Over the last century quantum field theory has made a significant impact on the formulation and solution of mathematical problems and inspired powerful advances in pure mathematics. However, most acc...unts are written by physicists, and mathematicians struggle to find clear definitions and statements of the concepts involved. This graduate-level introduction presents the basic ideas and tools from quantum field theory to a mathematical audience. Topics include classical and quantum mechanics, classical field theory, quantization of classical fields, perturbative quantum field theory, renormalization, and the standard model. The material is also accessible to physicists seeking a better understanding of the mathematical background, providing the necessary tools from differential geometry on such topics as connections and gauge fields, vector and spinor bundles, symmetries and group representations"--続きを見る
目次 Machine generated contents note: Foreword Dennis Sullivan; Preface; 1. Classical mechanics; 2. Quantum mechanics; 3. Relativity, the Lorentz group and Dirac's equation; 4. Fiber bundles, connections and representations; 5. Classical field theory; 6. Quantization of classical fields; 7. Perturbative quantum field theory; 8. Renormalization; 9. The standard model; Appendix A. Hilbert spaces and operators; Appendix B. C* algebras and spectral theory; Bibliography; Index.
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所蔵情報


理系図3F 数理独自 033212010002844 FARI/5/2 2010

数理 数理科学 033212015500403 FARI/5/2A 2010

書誌詳細

一般注記 Includes bibliographical references (p. 289-292) and index
著者標目 *Faria, Edson de
Melo, Welington de
件 名 LCSH:Quantum field theory -- Mathematics  全ての件名で検索
分 類 LCC:QC174.45
DC22:530.14/30151
書誌ID 1001428962
ISBN 9780521115773
NCID BB02978215
巻冊次 ISBN:9780521115773
登録日 2010.09.08
更新日 2017.03.14

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