Finite Temperature Quantum Field Theory in Minkowski Space

Mar, 1983
48 pages
Published in:
  • Annals Phys. 152 (1984) 105
Report number:
  • MIT-CTP-1078

Citations per year

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Abstract: (Elsevier)
We formulate finite-temperature quantum field theories in Minkowski space (real time) using Feynman path integrals. We show that at non-zero temperature a new field arises which plays the role of a ghost field and is necessary for unambiguous Feynman rules. Consequently, the finite-temperature Lagrangian is different from the zero-temperature one and a new, discrete Z 2 symmetry arises. We discuss the functional formalism and spontaneous symmetry breakdown at finite temperature and also the possibility of spontaneous breakdown of the (thermal) Z 2 symmetry.
  • FIELD THEORY: FINITE TEMPERATURE
  • FIELD THEORY: PATH INTEGRAL
  • FIELD THEORY: EFFECTIVE ACTION
  • FIELD THEORY: GHOST
  • SYMMETRY: Z(2)
  • SPONTANEOUS SYMMETRY BREAKING
  • PERTURBATION THEORY
  • APPROXIMATION: EFFECTIVE POTENTIAL
  • THERMODYNAMICS
  • FEYNMAN GRAPH