Three-loop contributions to the free energy of $λφ^4$ QFT
| dc.creator | Bugrij, A. I. | |
| dc.creator | Shadura, V. N. | |
| dc.date | 1995-10-31 | |
| dc.date | 1995-11-01 | |
| dc.date.accessioned | 2026-07-07T09:04:08Z | |
| dc.date.available | 2026-07-07T09:04:08Z | |
| dc.description | The massive scalar field with $λφ^4$ interaction placed in $(3+1)$ dimensional box is considered. The sizes of the box are $V\times β$ $(V=L^3$ is the volume, $T=1/β$ is the temperature). The free energy is evaluated up to the 2nd order of $PT$. The averaging on the vacuum fluctuations is separated from the averaging on the thermal fluctuations explicitly. As result the free-energy is expressed through the scattering amplitudes. We find that in 3-loop approximation the expression for free energy coincides with the ansatz of Bernstein, Dashen, Ma suggested on the base of $S$-matrix formulation of statistical mechanics. The obtained expressions are generalized for higher order of $PT$. | |
| dc.description | 11 pages, LaTeX file | |
| dc.identifier | https://arxiv.org/abs/hep-th/9510232 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9510232 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149270 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Three-loop contributions to the free energy of $λφ^4$ QFT | |
| dc.type | text |