引力的量子效应导论（英文版）

图书标准信息

• 作者 [德]马克翰维 著
• 出版社 世界图书出版公司
• 出版时间 2010-04
• 版次 1
• ISBN 9787510005527
• 定价 45.00元
• 装帧 平装
• 开本 16开
• 纸张 胶版纸
• 页数 273页
• 正文语种 英语

【内容简介】

　　本书系统地介绍了引力中的量子场论方法，适合用作理论天体物理，宇宙学，粒子物理和超弦理论等专业的本科生和研究生教材。本书首先介绍了量子场论中的一般概念，重点讲解了利用量子场论方法研究引力，同时还介绍了基本且必要的不断扩张宇宙中的场量子化和膨胀时空中的量子涨落。此外，本书还详细讨论了Casimir效应，Unruh效应和霍金效应，并介绍了计算外部重力场中量子系统的反向反应的有效作用量。作者从最初的基本原理出发，经过演绎得出最终结果，并对最终结果做详细的解释，帮助读者对该领域建立完整的物理图像。本书内容全面，讲解深刻，附有习题及其答案。阅读本书只需要基本的广义相对论知识。前言；(第一部分)正则量子化和粒子产生：概述：量子场；回顾：经典和量子理论；受迫谐振子；从谐振子到场；回顾：经典场；扩张宇宙中的量子场；Sitter宇宙中的量子场；Unruh效应；Hawking效应，黑洞热力学；Casimir效应；（第二部分）路径积分和真空极化：路径积分；有效作用量；热核计算；从有效作用量导出的结论；附录1：数学补充；附录2：反向反应的有效作用量推导；附录3：模展开要点；附录4：习题答案；索引。
　　读者对象：理论天体物理，宇宙学，粒子物理和超弦理论等专业的高年级本科生、研究生和相关领域的科研人员。

【目录】

Preface
PartICanonicalquantizationandparticleproduction
1Overview：atasteofquantumfields
1.1Classicalfield
1.2Quantumfieldanditsvacuumstate
1.3Thevacuumenergy
1.4Quantumvacuumfluctuations
1.5Particleinterpretationofquantumfields
1.6Quantumfieldtheoryinclassicalbackgrounds
1.7Examplesofparticlecreation

2Reminder：classicalandquantumtheory
2.1Lagrangianformalism
2.1.1Functionalderivatives
2.2Hamiltonianformalism
2.3QuantizationofHamiltoniansystems
2.4HilbertspacesandDiracnotation
2.5Operators，eigenvalueproblemandbasisinaHilbertspace
2.6Generalizedeigenvectorsandbasicmatrixelements
2.7Evolutioninquantumtheory

3Drivenharmonicoscillator
3.1Quantizinganoscillator
3.2The"in"and"out"states
3.3MatrixelementsandGreensfunctions

4Fromharmonicoscillatorstofields
4.1Quantumharmonicoscillators
4.2Fromoscillatorstofields
4.3Quantizingfieldsinaflatspacetime
4.4Themodeexpansion
4.5Vacuumenergyandvacuumfluctuations
4.6TheSchrodingerequationforaquantumfield

5Reminder：classicalfields
5.1Theactionfunctional
5.2Realscalarfieldanditscouplingtothegravity
5.3Gaugeinvarianceandcouplingtotheelectromagneticfield
5.4Actionforthegravitationalandgaugefields
5.5Energy-momentumtensor

6Quantumfieldsinexpandinguniverse
6.1Classicalscalarfieldinexpandingbackground
6.1.1Modeexpansion
6.2Quantization
6.3Bogolyubovtransformations
6.4Hilbertspace;"a-andb-particles"
6.5Choiceofthephysicalvacuum
6.5.1Theinstantaneouslowest-energystate
6.5.2Ambiguityofthevacuumstate
6.6Amplitudeofquantumfluctuations
6.6.1Comparingfluctuationsinthevacuumandexcitedstates
6.7Anexampleofparticleproduction

7QuantumfieldsinthedeSitteruniverse
7.1DeSitteruniverse
7.2Quantization
7.2.1Bunch-Daviesvacuum
7.3Fluctuationsininflationaryuniverse

8Unruheffect
8.1Acceleratedmotion
8.2Comovingframeofacceleratedobserver
8.3Quantumfieldsininertialandacceleratedframes
8.4Bogolyubovtransformations
8.5OccupationnumbersandUnmhtemperature

9Hawkingeffect.Thermodynamicsofblackholes
9.1Hawkingradiation
9.1.1Schwarzschildsolution
9.1.2Kruskal-Szekerescoordinates
9.1.3FieldquantizationandHawkingradiation
9.1.4Hawkingeffectin3+1dimensions
9.2Therroodynamicsofblackholes
9.2.1Lawsofblack.holethermodynamics
10TheCasimireffect
10.1Vacuumenergybetw.eenplates
10.2Regularizationandrenormalization

PartⅡPathintegralsandvacuumpolarization
11Pathintegrals
11.1Evolutionoperator.Propagator
11.2Propagatorasapathintegral
11.3Lagrangianpathintegrals
11.4Propagatorsforfreeparticleandharmonicoscillator
11.4.1Freeparticle
11.4.2Quadraticpotential
11.4.3Euclideanpathintegral
11.4.4Groundstateasapathintegral

12Effectiveaction
12.1Drivenharmonicoscillator（continuation）
12.1.1Greensfunctionsandmatrixelements
12.1.2EuclideanGreensfunction
12.1.3Introducingeffectiveaction
12.1.4Calculatingeffectiveactionforadrivenoscillator
12.1.5Matrixelements
12.1.6Theeffectiveaction"recipe"
12.1.7Backreaction
12.2Effectiveactioninexternalgravitationalfield
12.2.1Euclideanactionforscalarfield
12.3Effectiveactionasafunctionaldeterminant
12.3.1Reformulationoftheeigenvalueproblem
12.3.2Zetafunction
12.3.3Heatkernel

13Calculationofheatkernel
13.1Perturbativeexpansionfortheheatkernel
13.1.1Matrixelements
13.2Traceoftheheatkernel
13.3TheSeeley-DeWittexpansion

14Resultsfromeffectiveaction
14.1Renormalizationoftheeffectiveaction
14.2Finitetermsintheeffectiveaction
14.2.1EMTfromthePolyakovaction
14.3Conformalanomaly
Appendix1Mathematicalsupplement
A1.1Functionalsanddistributions（generalizedfunctions）
A1.2Greensfunctions，boundaryconditions，andcontours
A1.3Eulersgammafunctionandanalyticcontinuations
Appendix2Backreactionderivedfromeffectiveaction
Appendix3Modeexpansionscheatsheet
Appendix4Solutionstoexercises
Index