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Mathematical aspects of quantum fiel...

Faria, Edson de.

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Mathematical aspects of quantum field theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical aspects of quantum field theory/ Edson de Faria, Welington de Melo.
Author:	Faria, Edson de.
other author:	Melo, Welington de.
Published:	Cambridge :Cambridge University Press, : 2010.,
Description:	xiii, 298 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
[NT 15003449]:	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.
Subject:	Quantum field theory - Mathematics. -
Online resource:	https://doi.org/10.1017/CBO9780511760532
ISBN:	9780511760532

Mathematical aspects of quantum field theory
Faria, Edson de.

Mathematical aspects of quantum field theory[electronic resource] /Edson de Faria, Welington de Melo. - Cambridge :Cambridge University Press,2010. - xiii, 298 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;127. - Cambridge studies in advanced mathematics ;127..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

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 accounts 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.

ISBN: 9780511760532Subjects--Topical Terms:

658956
Quantum field theory
--Mathematics.

LC Class. No.: QC174.45 / .F37 2010

Dewey Class. No.: 530.1430151

Mathematical aspects of quantum field theory
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100 1 $a Faria, Edson de. $3 1299100
245 1 0 $a Mathematical aspects of quantum field theory $h [electronic resource] / $c Edson de Faria, Welington de Melo.
260 $a Cambridge : $b Cambridge University Press, $c 2010.
300 $a xiii, 298 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 127
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 8 $a 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.
520 $a 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 accounts 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.
650 0 $a Quantum field theory $x Mathematics. $3 658956
700 1 $a Melo, Welington de. $3 706131
830 0 $a Cambridge studies in advanced mathematics ; $v 127. $3 3470547
856 4 0 $u https://doi.org/10.1017/CBO9780511760532