有限溫度場論原理和應用 第2版（簡體書）

what happens when ordinary matter is so greatly compressed that the electrons form a relativistic degenerate gas, as in a white dwarf star? what happens when the matter is compressed even further so that atomic nuclei overlap to form superdense nuclear matter, as in a neutron star? what happens when nuclear matter is heated to such great temperatures that the nucleons and pions melt into quarks and gluons, as in high-energy nuclear collisions? what happened in the spontaneous symmetry break-ing of the unified theory of the weak and electromagnetic interactions during the big bang? questions like these have fascinated us for a long time. the purpose of this book is to develop the fundamental principles and mathematical techniques that enable the formulation of answers to these mind-boggling questions. the study of matter under extreme con-ditions has blossomed into a field of intense interdisciplinary activity and global extent. the analysis of the collective behavior of interacting rela-tivistic systems spans a rich palette of physical phenomena. one of the ultimate goals of the whole program is to map out the phase diagram of the standard model and its extensions.

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
2.7exercises
reference
bibliography

3 interactions and diagrammatic techniques
3.1 perturbation expansion
3.2 diagrammatic rules for膂4 theory
3.3 propagators
3.4 first-order corrections to il 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膂4 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 in z
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
12 hot hadronic matter
13 nucleation theory
14 heavy ion collisions
15 weak interactions
16 astrophysics and cosmology
appendix
index