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Mathematical aspects of quantum fiel...

Faria, Edson De.

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Mathematical aspects of quantum field theory /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Mathematical aspects of quantum field theory // Edson de Faria, Welington De Melo.
作者:	Faria, Edson De.
其他作者:	Melo, Welington de.
出版者:	New York :Cambridge University Press, : 2010.,
面頁冊數:	xiii, 298 p. :ill. ;24 cm.
內容註:	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.
標題:	Quantum field theory - Mathematics. -
ISBN:	9780521115773 (hardback) :

Mathematical aspects of quantum field theory /
Faria, Edson De.

Mathematical aspects of quantum field theory /Edson de Faria, Welington De Melo. - New York :Cambridge University Press,2010. - xiii, 298 p. :ill. ;24 cm. - Cambridge studies in advanced mathematics ;127. - Cambridge studies in advanced mathematics ;117..

Includes bibliographical references (p. 289-292) and index.

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: 9780521115773 (hardback) :US65.00

LCCN: 2010012779

Nat. Bib. No.: GBB045957bnb

Nat. Bib. Agency Control No.: 015522130UkSubjects--Topical Terms:

658956
Quantum field theory
--Mathematics.

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

Dewey Class. No.: 530.14/30151

Mathematical aspects of quantum field theory /
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035 $a (OCoLC)ocn606234551
035 $a AS-BW-100-N-01
040 $a DLC $c DLC $d YDX $d YDXCP $d BWK $d CDX $d BWX $d IXA $d STF $d UKM $d DLC
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050 0 0 $a QC174.45 $b .F37 2010
082 0 0 $a 530.14/30151 $2 22
100 1 $a Faria, Edson De. $3 1299538
245 1 0 $a Mathematical aspects of quantum field theory / $c Edson de Faria, Welington De Melo.
260 # $a New York : $b Cambridge University Press, $c 2010.
300 $a xiii, 298 p. : $b ill. ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 127
504 $a Includes bibliographical references (p. 289-292) and index.
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"-- $c Provided by publisher.
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 117. $3 1232927