Finite-temperature quantum field theory in Minkowski space
Abstract
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 Z2 symmetry arises. We discuss the functional formalism and spontaneous symmetry breakdown at finite temperature and also the possibility of spontaneous breakdown of the (thermal) Z2 symmetry.
- Publication:
-
Annals of Physics
- Pub Date:
- January 1984
- DOI:
- 10.1016/0003-4916(84)90082-4
- Bibcode:
- 1984AnPhy.152..105N