卡普斯塔的这本《有限温度场论原理和应用(第2版)》旨在为热量子场论方向的读者提供入门认识，也涉及不少该领域的深刻议题。书中展示了该领域的最新进展和成果，有限温度和密度下研究相对论场论的基本公式和理论技巧，从配分积分的路径积分表示论开始，接着讲述绘图扰动技术，讨论了标准模型以及强相关系统中的状态过渡和在相对论重离子碰撞，高密星体和早期宇宙中的应用。每章末都配有练习和相关内容的参考资料。

Preface

1 Review of quantum statistical mechanics

1.1 Ensembles

1.2 One bosonic degree of freedom

1.3 One fermionic-degree of freedom

1.4 Noninteracting gases

1.5 Exercises

 Bibliography

2 Functional integral representation of the partition function

2.1 Transition amplitude for bosons

2.2 Partition function for bosons

2.3 Neutral scalar field

2.4 Bose-Einstein condensation

2.5 Fermions

2.6 Remarks on functional integrals

2.7 Exercises

 Reference

 Bibliography

3 Interactions and diagrammatic techniques

3.1 Perturbation expansion

3.2 Diagrammatic rules for λφ4 theory

3.3 Propagators

3.4 First-order corrections to II and in Z

3.5 Summation of infrared divergences

3.6 Yukawa theory

3.7 Remarks on real time perturbation theory

3.8 Exercises

 References

 Bibliography

4 Renormalization

4.1 Renormalizing λφ4 theory

4.2 Renormalization group

4.3 Regularization schemes

4.4 Application to the partition function

4.5 Exercises

 References

 Bibliography

5 Quantum electrodynamics

5.1 Quantizing the electromagnetic field

5.2 Blackbody radiation

5.3 Diagrammatic expansion

5.4 Photon self-energy

5.5 Loop corrections to lnZ

5.6 Exercises

 References

 Bibliography

6 Linear response theory

6.1 Linear response to an external field

6.2 Lehmann representation

6.3 Screening of static electric fields

6.4 Screening of a point charge

6.5 Exact formula for screening length in QED

6.6 Collective excitations

6.7 Photon dispersion relation

6.8 Electron dispersion relation

6.9 Kubo formulae for viscosities and conductivities

6.10 Exercises

 References

 Bibliography

7 Spontaneous symmetry breaking and restoration

7.1 Charged scalar field with negative mass-squared

7.2 Goldstone's theorem

7.3 Loop corrections

7.4 Higgs model

7.5 Exercises

 References

 Bibliography

8 Quantum chromodynamics

8.1 Quarks and gluons

8.2 Asymptotic freedom

8.3 Perturbative evaluation of partition function

8.4 Higher orders at finite temperature

8.5 Gluon propagator and linear response

8.6 Instantons

8.7 Infrared problems

8.8 Strange quark matter

8.9 Color superconductivity

8.10 Exercises

 References

 Bibliography

9 Resummation and hard thermal loops

9.1 Isolating the hard thermal loop contribution

9.2 Hard thermal loops and Ward identities

9.3 Hard thermal loops and effective perturbation theory

9.4 Spectral densities

9.5 Kinetic theory

9.6 Transport coefficients

9.7 Exercises

 References

10 Lattice gauge theory

10.1 Abelian gauge theory

10.2 Nonabelian gauge theory

10.3 Fermions

10.4 Phase transitions in pure gauge theory

10.5 Lattice QCD

10.6 Exercises

 References

 Bibliography

11 Dense nuclear matter

11.1 Walecka model

11.2 Loop corrections

11.3 Three- and four-body interactions

11.4 Liquid-gas phase transition

11.5 Summary

11.6 Exercises

  References

  Bibliography

12 Hot hadronic matter

12.1 Chiral perturbation theory

12.2 Self-energy from experimental data

12.3 Weinberg sum rules

12.4 Linear and nonlinear a models

12.5 Exercises

 References

 Bibliography

13 Nucleation theory

13.1 Quantum nucleation

13.2 Classical nucleation

13.3 Nonrelativistic thermal nucleation

13.4 Relativistic thermal nucleation

13.5 Black hole nucleation

13.6 Exercises

 References

 Bibliography

14 Heavy ion collisions

14.1 Bjorken model

14.2 The statistical model of particle production

14.3 The emission of electromagnetic radiation

14.4 Photon production in high-energy heavy ion collisions

14.5 Dilepton production

14.6 J/ψ suppression

14.7 Strangeness production

14.8 Exercises

 References

 Bibliography

15 Weak interactions

15.1 Glashow-Weinberg-Salam model

15.2 Symmetry restoration in mean field approximation

15.3 Symmetry restoration in perturbation theory

15.4 Symmetry restoration in lattice theory

15.5 Exercises

 References

 Bibliography

16 Astrophysics and cosmology

16.1 White dwarf stars

16.2 Neutron stars

16.3 Neutrino emissivity

16.4 Cosmological QCD phase transition

16.5 Electroweak phase transition and baryogenesis

16.6 Decay of a heavy particle

16.7 Exercises

 References

 Bibliography

Conclusion

Appendix

A1.1 Thermodynamic relations

A1.2 Microcanonical and canonical ensembles

A1.3 High-temperature expansions

A1.4 Expansion in the degeneracy

References

Index