thermal field theory

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Thermal Green's functions

One of the main objects of interest are thermal Green's functions G_\beta(x_1, \dots, x_n)\, defined by the Gibbs averages of time-ordered products of field operators at some inverse temperature \beta\,[1][2],

G_\beta(x_1, \dots, x_n) = \frac{1}{\operatorname{Tr}\, e^{-\beta H} } \operatorname{Tr} \left[ e^{-\beta H} T \phi(x_1) \dots \phi(x_n) \right]\,.

References

[1] [3] [4] [5] [6] [7] [8] [9]

  1. ↑ 1.0 1.1 Dolan, L.; Jackiw, R. (1974). "Symmetry behavior at finite temperature". Phys. Rev. D 9: 3320-3341. DOI:10.1103/PhysRevD.9.3320. 
  2. ↑ Recall that as \beta \to \infty\,, the exponential simply projects out the vacuum state.
  3. ↑ Jean Zinn-Justin (2002). Quantum Field Theory and Critical Phenomena. Oxford University Press. ISBN 978-0198509233. 
  4. ↑ Joseph I. Kapusta (1994). Finite-Temperature Field Theory. Cambridge University Press. ISBN 978-0521449458. 
  5. ↑ A. Zagoskin (1998). Quantum Theory of Many-Body Systems: Techniques and Applications. Springer. ISBN 978-0387983844. 
  6. ↑ A.J. Niemi, G.W. Semenoff (1984). "Finite Temperature Quantum Field Theory in Minkowski Space". Annals Phys 152: 105. DOI:10.1016/0003-4916(84)90082-4. 
  7. ↑ Alexander L. Fetter, John Dirk Walecka (2003). Quantum Theory of Many-Particle Systems. Dover Publications. ISBN 978-0486428277. 
  8. ↑ Zinn-Justin, Jean (2000). "Quantum field theory at finite temperature: An introduction". arXiv:hep-ph/0005272. 
  9. ↑ Le Bellac, M. (2000). Thermal Field Theory. Cambridge University Press. ISBN 0521654777. 
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