Finite-temperature Gaussian effective potential from a variational principle
- 15 April 1991
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 43 (8) , 2736-2738
- https://doi.org/10.1103/physrevd.43.2736
Abstract
Writing the partition function for a scalar quantum field theory as a functional integral, it follows that the finite-temperature Gaussian effective potential is an upper limit to the free energy of the system. Explicit results are given for the anharmonic oscillator at finite temperature.Keywords
This publication has 9 references indexed in Scilit:
- Finite-temperature effects on the Gaussian effective potentialPhysical Review D, 1988
- Nonstandard expansion techniques for the finite-temperature effective potential in λquantum field theoryPhysical Review D, 1987
- Effective classical partition functionsPhysical Review A, 1986
- Gaussian thermo field dynamicsPhysics Letters B, 1986
- Comment on the finite-temperature behavior of λ(φ theoryPhysical Review D, 1986
- Erratum: Temperature-induced interaction:λφ4theoryPhysical Review D, 1986
- Temperature-induced interaction: λtheoryPhysical Review D, 1986
- Scalar fields at finite temperature: The gaussian effective potential approachPhysics Letters B, 1986
- Quantum fluctuations in afield theory. I. Stability of the vacuumPhysical Review D, 1975