未读消息消息

购物车

我的订单

个人中心

店铺

我的订单收藏

拍卖

拍卖交易我的竞拍收藏

我的好友资金账户

卖家中心

客服 |

帮助中心 9:00-20:30 在线留言

客服电话

010-89648155

服务时间

客服咨询 8:00-21:00

纠纷处理 9:00-21:00

图书审核 9:00-18:00

监督与建议

请选择

手机孔网

中外物理学精品书系：相变与重正化群（英文影印版）

作者: [法] 齐恩-朱斯坦（J. Zinn-Justin）著

出版社: 北京大学出版社

出版时间: 2015-01

版次: 1

ISBN: 9787301251850

定价: 80.00

装帧: 平装

开本: 16开

纸张: 胶版纸

页数: 472页

字数: 562千字

正文语种: 简体中文，英语

原版书名: Phase Transitions and Renormalization Group

丛书: 中外物理学精品书系

分类: 自然科学

15人买过

　　《中外物理学精品书系：相变与重正化群（英文影印版）》详细讨论了相变与重正化群的关系。特别是相变中的连续极限、相干长度及标度律等等。本书适合所有物理学领域的科研工作者和研究生阅读。
　　（法）齐恩-朱斯坦，法国原子研究中心教授。 1Quantumfieldtheoryandtherenormalizationgroup.........1
1.1Quantumelectrodynamics:Aquantumfieldtheory.........3
1.2Quantumelectrodynamics:Theproblemofinfinities........4
1.3Renormalization........................7
1.4Quantumfieldtheoryandtherenormalizationgroup........9
1.5AtriumphofQFT:TheStandardModel.............10
1.6Criticalphenomena:Otherinfinities...............12
1.7KadanoffandWilson’srenormalizationgroup...........14
1.8Effectivequantumfieldtheories.................16

2Gaussianexpectationvalues.Steepestdescentmethod........19
2.1Generatingfunctions......................19
2.2Gaussianexpectationvalues.Wick’stheorem...........20
2.3PerturbedGaussianmeasure.Connectedcontributions.......24
2.4Feynmandiagrams.Connectedcontributions............25
2.5Expectationvalues.Generatingfunction.Cumulants........28
2.6Steepestdescentmethod....................31
2.7Steepestdescentmethod:Severalvariables，generatingfunctions...37
Exercises.............................40

3Universalityandthecontinuumlimit.................45
3.1Centrallimittheoremofprobabilities...............45
3.2Universalityandfixedpointsoftransformations..........54
3.3RandomwalkandBrownianmotion...............59
3.4Randomwalk:Additionalremarks................71
3.5Brownianmotionandpathintegrals...............72
Exercises.............................75

4Classicalstatisticalphysics:Onedimension..............79
4.1Nearest-neighbourinteractions.Transfermatrix..........80
4.2Correlationfunctions......................83
4.3Thermodynamiclimit......................85
4.4Connectedfunctionsandclusterproperties............88
4.5Statisticalmodels:Simpleexamples...............90
4.6TheGaussianmodel......................924.7Gaussianmodel:Thecontinuumlimit...............98
4.8Moregeneralmodels:Thecontinuumlimit...........102
Exercises............................104

5Continuumlimitandpathintegrals................111
5.1Gaussianpathintegrals....................111
5.2Gaussiancorrelations.Wick’stheorem.............118
5.3PerturbedGaussianmeasure..................118
5.4Perturbativecalculations:Examples..............120
Exercises............................124

6Ferromagneticsystems.Correlationfunctions...........127
6.1Ferromagneticsystems:Definition...............127
6.2Correlationfunctions.Fourierrepresentation...........133
6.3Legendretransformationandvertexfunctions..........137
6.4Legendretransformationandsteepestdescentmethod.......142
6.5Two-andfour-pointvertexfunctions..............143
Exercises............................145

7Phasetransitions:Generalitiesandexamples............147
7.1Infinitetemperatureorindependentspins............150
7.2Phasetransitionsininfinitedimension.............153
7.3Universalityininfinitespacedimension.............158
7.4Transformations，fixedpointsanduniversality..........161
7.5Finite-rangeinteractionsinfinitedimension...........163
7.6Isingmodel:Transfermatrix..................166
7.7Continuoussymmetriesandtransfermatrix...........171
7.8ContinuoussymmetriesandGoldstonemodes..........173
Exercises............................175

8Quasi-Gaussianapproximation:Universality，criticaldimension....179
8.1Short-rangetwo-spininteractions................181
8.2TheGaussianmodel:Two-pointfunction............183
8.3Gaussianmodelandrandomwalk...............188
8.4Gaussianmodelandfieldintegral................190
8.5Quasi-Gaussianapproximation.................194
8.6Thetwo-pointfunction:Universality..............196
8.7Quasi-GaussianapproximationandLandau’stheory.......199
8.8ContinuoussymmetriesandGoldstonemodes..........200
8.9Correctionstothequasi-Gaussianapproximation.........202
8.10Mean-fieldapproximationandcorrections...........207
8.11Tricriticalpoints......................211
Exercises............................212

9Renormalizationgroup:Generalformulation............217
9.1Statisticalfieldtheory.Landau’sHamiltonian..........218
9.2Connectedcorrelationfunctions.Vertexfunctions........220
9.3Renormalizationgroup:Generalidea..............222
9.4Hamiltonianflow:Fixedpoints，stability............226
9.5TheGaussianfixedpoint...................2319.6Eigen-perturbations:Generalanalysis..............234
9.7Anon-Gaussianfixedpoint:Theε-expansion..........237
9.8Eigenvaluesanddimensionsoflocalpolynomials.........241

10Perturbativerenormalizationgroup:Explicitcalculations......243
10.1CriticalHamiltonianandperturbativeexpansion........243
10.2Feynmandiagramsatone-looporder..............246
10.3Fixedpointandcriticalbehaviour...............248
10.4Criticaldomain.......................254
10.5ModelswithO(N)orthogonalsymmetry............258
10.6Renormalizationgroupneardimension4............259
10.7Universalquantities:Numericalresults.............262

11Renormalizationgroup:N-componentfields............267
11.1Renormalizationgroup:Generalremarks............268
11.2Gradientflow........................269
11.3Modelwithcubicanisotropy.................272
11.4Explicitgeneralexpressions:RGanalysis............276
11.5Exercise:Generalmodelwithtwoparameters..........281
Exercises............................284

12Statisticalfieldtheory:Perturbativeexpansion..........285
12.1Generatingfunctionals....................285
12.2Gaussianfieldtheory.Wick’stheorem.............287
12.3Perturbativeexpansion....................289
12.4Loopexpansion.......................296
12.5Dimensionalcontinuationandregularization..........299
Exercises............................306

13Theσ4fieldtheoryneardimension4...............307
13.1EffectiveHamiltonian.Renormalization............308
13.2Renormalizationgroupequations...............313
13.3SolutionofRGE:Theε-expansion...............316
13.4Effectiveandrenormalizedinteractions.............323
13.5ThecriticaldomainaboveTc.................324

14TheO(N)symmetric(φ2)2fieldtheoryinthelargeNlimit....329
14.1Algebraicpreliminaries....................330
14.2Integrationoverthefieldφ:Thedeterminant..........331
14.3ThelimitN→∞:Thecriticaldomain............335
14.4The(φ2)2fieldtheoryforN→∞...............337
14.5Singularpartofthefreeenergyandequationofstate......340
14.6The λλ and φ2φ2 two-pointfunctions............343
14.7Renormalizationgroupandcorrectionstoscaling........345
14.8The1/Nexpansion.....................348
14.9Theexponentηatorder1/N.................350
14.10Thenon-linearσ-model...................351

15Thenon-linearσ-model.....................353
15.1Thenon-linearσ-modelonthelattice.............353
15.2Low-temperatureexpansion..................35515.3Formalcontinuumlimit...................360
15.4Regularization.......................361
15.5Zero-momentumorIRdivergences...............362
15.6Renormalizationgroup....................363
15.7SolutionoftheRGE.Fixedpoints...............368
15.8Correlationfunctions:Scalingform..............370
15.9Thecriticaldomain:Criticalexponents............372
15.10Dimension2........................373
15.11The(φ2)2fieldtheoryatlowtemperature...........377

16Functionalrenormalizationgroup.................381
16.1PartialfieldintegrationandeffectiveHamiltonian........381
16.2High-momentummodeintegrationandRGE..........390
16.3Perturbativesolution:φ4theory................396
16.4RGE:Standardform.....................399
16.5Dimension4........................402
16.6Fixedpoint:ε-expansion...................409
16.7Localstabilityofthefixedpoint................411
Appendix............................417
A1Technicalresults.......................417
A2Fouriertransformation:Decayandregularity..........421
A3Phasetransitions:Generalremarks...............426
A41/Nexpansion:Calculations..................431
A5Functionalrenormalizationgroup:Complements.........433
Bibliography...........................441
Index...............................447
内容简介:
　　《中外物理学精品书系：相变与重正化群（英文影印版）》详细讨论了相变与重正化群的关系。特别是相变中的连续极限、相干长度及标度律等等。本书适合所有物理学领域的科研工作者和研究生阅读。
作者简介:
　　（法）齐恩-朱斯坦，法国原子研究中心教授。
目录:
1Quantumfieldtheoryandtherenormalizationgroup.........1
1.1Quantumelectrodynamics:Aquantumfieldtheory.........3
1.2Quantumelectrodynamics:Theproblemofinfinities........4
1.3Renormalization........................7
1.4Quantumfieldtheoryandtherenormalizationgroup........9
1.5AtriumphofQFT:TheStandardModel.............10
1.6Criticalphenomena:Otherinfinities...............12
1.7KadanoffandWilson’srenormalizationgroup...........14
1.8Effectivequantumfieldtheories.................16

2Gaussianexpectationvalues.Steepestdescentmethod........19
2.1Generatingfunctions......................19
2.2Gaussianexpectationvalues.Wick’stheorem...........20
2.3PerturbedGaussianmeasure.Connectedcontributions.......24
2.4Feynmandiagrams.Connectedcontributions............25
2.5Expectationvalues.Generatingfunction.Cumulants........28
2.6Steepestdescentmethod....................31
2.7Steepestdescentmethod:Severalvariables，generatingfunctions...37
Exercises.............................40

3Universalityandthecontinuumlimit.................45
3.1Centrallimittheoremofprobabilities...............45
3.2Universalityandfixedpointsoftransformations..........54
3.3RandomwalkandBrownianmotion...............59
3.4Randomwalk:Additionalremarks................71
3.5Brownianmotionandpathintegrals...............72
Exercises.............................75

4Classicalstatisticalphysics:Onedimension..............79
4.1Nearest-neighbourinteractions.Transfermatrix..........80
4.2Correlationfunctions......................83
4.3Thermodynamiclimit......................85
4.4Connectedfunctionsandclusterproperties............88
4.5Statisticalmodels:Simpleexamples...............90
4.6TheGaussianmodel......................924.7Gaussianmodel:Thecontinuumlimit...............98
4.8Moregeneralmodels:Thecontinuumlimit...........102
Exercises............................104

5Continuumlimitandpathintegrals................111
5.1Gaussianpathintegrals....................111
5.2Gaussiancorrelations.Wick’stheorem.............118
5.3PerturbedGaussianmeasure..................118
5.4Perturbativecalculations:Examples..............120
Exercises............................124

6Ferromagneticsystems.Correlationfunctions...........127
6.1Ferromagneticsystems:Definition...............127
6.2Correlationfunctions.Fourierrepresentation...........133
6.3Legendretransformationandvertexfunctions..........137
6.4Legendretransformationandsteepestdescentmethod.......142
6.5Two-andfour-pointvertexfunctions..............143
Exercises............................145

7Phasetransitions:Generalitiesandexamples............147
7.1Infinitetemperatureorindependentspins............150
7.2Phasetransitionsininfinitedimension.............153
7.3Universalityininfinitespacedimension.............158
7.4Transformations，fixedpointsanduniversality..........161
7.5Finite-rangeinteractionsinfinitedimension...........163
7.6Isingmodel:Transfermatrix..................166
7.7Continuoussymmetriesandtransfermatrix...........171
7.8ContinuoussymmetriesandGoldstonemodes..........173
Exercises............................175

8Quasi-Gaussianapproximation:Universality，criticaldimension....179
8.1Short-rangetwo-spininteractions................181
8.2TheGaussianmodel:Two-pointfunction............183
8.3Gaussianmodelandrandomwalk...............188
8.4Gaussianmodelandfieldintegral................190
8.5Quasi-Gaussianapproximation.................194
8.6Thetwo-pointfunction:Universality..............196
8.7Quasi-GaussianapproximationandLandau’stheory.......199
8.8ContinuoussymmetriesandGoldstonemodes..........200
8.9Correctionstothequasi-Gaussianapproximation.........202
8.10Mean-fieldapproximationandcorrections...........207
8.11Tricriticalpoints......................211
Exercises............................212

9Renormalizationgroup:Generalformulation............217
9.1Statisticalfieldtheory.Landau’sHamiltonian..........218
9.2Connectedcorrelationfunctions.Vertexfunctions........220
9.3Renormalizationgroup:Generalidea..............222
9.4Hamiltonianflow:Fixedpoints，stability............226
9.5TheGaussianfixedpoint...................2319.6Eigen-perturbations:Generalanalysis..............234
9.7Anon-Gaussianfixedpoint:Theε-expansion..........237
9.8Eigenvaluesanddimensionsoflocalpolynomials.........241

10Perturbativerenormalizationgroup:Explicitcalculations......243
10.1CriticalHamiltonianandperturbativeexpansion........243
10.2Feynmandiagramsatone-looporder..............246
10.3Fixedpointandcriticalbehaviour...............248
10.4Criticaldomain.......................254
10.5ModelswithO(N)orthogonalsymmetry............258
10.6Renormalizationgroupneardimension4............259
10.7Universalquantities:Numericalresults.............262

11Renormalizationgroup:N-componentfields............267
11.1Renormalizationgroup:Generalremarks............268
11.2Gradientflow........................269
11.3Modelwithcubicanisotropy.................272
11.4Explicitgeneralexpressions:RGanalysis............276
11.5Exercise:Generalmodelwithtwoparameters..........281
Exercises............................284

12Statisticalfieldtheory:Perturbativeexpansion..........285
12.1Generatingfunctionals....................285
12.2Gaussianfieldtheory.Wick’stheorem.............287
12.3Perturbativeexpansion....................289
12.4Loopexpansion.......................296
12.5Dimensionalcontinuationandregularization..........299
Exercises............................306

13Theσ4fieldtheoryneardimension4...............307
13.1EffectiveHamiltonian.Renormalization............308
13.2Renormalizationgroupequations...............313
13.3SolutionofRGE:Theε-expansion...............316
13.4Effectiveandrenormalizedinteractions.............323
13.5ThecriticaldomainaboveTc.................324

14TheO(N)symmetric(φ2)2fieldtheoryinthelargeNlimit....329
14.1Algebraicpreliminaries....................330
14.2Integrationoverthefieldφ:Thedeterminant..........331
14.3ThelimitN→∞:Thecriticaldomain............335
14.4The(φ2)2fieldtheoryforN→∞...............337
14.5Singularpartofthefreeenergyandequationofstate......340
14.6The λλ and φ2φ2 two-pointfunctions............343
14.7Renormalizationgroupandcorrectionstoscaling........345
14.8The1/Nexpansion.....................348
14.9Theexponentηatorder1/N.................350
14.10Thenon-linearσ-model...................351

15Thenon-linearσ-model.....................353
15.1Thenon-linearσ-modelonthelattice.............353
15.2Low-temperatureexpansion..................35515.3Formalcontinuumlimit...................360
15.4Regularization.......................361
15.5Zero-momentumorIRdivergences...............362
15.6Renormalizationgroup....................363
15.7SolutionoftheRGE.Fixedpoints...............368
15.8Correlationfunctions:Scalingform..............370
15.9Thecriticaldomain:Criticalexponents............372
15.10Dimension2........................373
15.11The(φ2)2fieldtheoryatlowtemperature...........377

16Functionalrenormalizationgroup.................381
16.1PartialfieldintegrationandeffectiveHamiltonian........381
16.2High-momentummodeintegrationandRGE..........390
16.3Perturbativesolution:φ4theory................396
16.4RGE:Standardform.....................399
16.5Dimension4........................402
16.6Fixedpoint:ε-expansion...................409
16.7Localstabilityofthefixedpoint................411
Appendix............................417
A1Technicalresults.......................417
A2Fouriertransformation:Decayandregularity..........421
A3Phasetransitions:Generalremarks...............426
A41/Nexpansion:Calculations..................431
A5Functionalrenormalizationgroup:Complements.........433
Bibliography...........................441
Index...............................447

查看详情

进店看看

中外物理学精品书系：相变与重正化群（英文影印版）

内容简介:

作者简介:

目录: