| 本书首先回顾了量子力学的一些基本概念，并引入量子力学中所谓路径积分的概念，然后阐明如何在场论中引入相应的路径积分。在随后的各章中，简单明了给出路径积分方法在场论中几种最基本的应用。本书是进一步深入学习和研究路径积分方法不可或缺的参考书，适用于从事高能物理、凝聚态物理、数学物理等研究领域的研究人员和研究生。 |
Contents. 1. Introduction 1.1 ParticlesandFields 1.2 MetricandOtherNotations 1.3 Functionals 1.4 ReviewofQuantumMechanics 1.5 References 2. PathIntegralsandQuantumMechanics 2.1 Basisstates 2.2 OperatorOrdering 2.3 TheClassicalLimit 2.4 EquivalencewithSchrodingerEquation 2.5 FreeParticle 2.6 References 3. HarmonicOscillator 3.1 PathIntegralfortheHarmonicOscillator 3.2 MethodofFourierTransform 3.3 MatrixMethod 3.4 TheClassicalAction 3.5 References 4. GeneratingFunctional 4.1 EuclideanRotation 4.2 TimeOrderedCorrelationFunctions 4.3 CorrelationFunctionsInDefiniteStates 4.4 VacuumFunctional 4.5 AnharmonJcOscillator 4.6 References 5. PathIntegralsforFermions 5.1 FermionicOscillator 5.2 GrassmannVariables 5.3 GeneratingFunctional 5.4 FeynmanPropagator 5.5 TheFermionDeterminant 5.6 References 6. Supersymmetry 6.1 SupersymmetricOscillator 6.2 SupersymmetricQuantumMechanics 6.3 ShapeInvariance 6.4 Example 6.5 References 7. Semi-ClassicalMethods 8. PathIntegralfortheDoubleWell 9. PathIntegralforRelativisticTheories 10. EffectiveAction 11. InvariancesandTheirConsequences 12. SystemsatFiniteTemperature 13. IsingModel |
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