Year: 1995
Type: article
Abstract: We compute the free energy density F for gauge theories, with fermions, at high temperature and zero chemical potential. In the expansion F=${\mathit{T}}^{4}$[${\mathit{c}}_{0}$+${\mathit{c}}_{2}$${\mathit{g}}^{2}$+${\mathit{c}}_{3}$${\mathit{g}}^{3}$+(${\mathit{c}}_{4}^{\ensuremath{'}}$lng+${\mathit{c}}_{4}$)${\mathit{g}}^{4}$+(c $_{5}^{\ensuremath{'}}\mathit{g}$+${\mathit{c}}_{5}$)${\mathit{g}}^{5}$+O(${\mathit{g}}^{6}$)] we determine ${\mathit{c}}_{5}^{\ensuremath{'}}$ and ${\mathit{c}}_{5}$ analytically by calculating two- and three-loop diagrams. The ${\mathit{g}}^{5}$ term constitutes the first correction to the ${\mathit{g}}^{3}$ term and is for the non-Abelian case the last power of g than can be computed within perturbation theory. We find that the ${\mathit{g}}^{5}$ term receives no contributions from overlapping double-frequency sums and that ${\mathit{c}}_{5}^{\ensuremath{'}}$ vanishes. \textcopyright{} 1995 The American Physical Society.
Authors: Chengxing Zhai, Boris Kastening
Institution: Purdue University West Lafayette
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funder: U.S. Department of Energy
OpenAlex ID: W2135640610