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
