Massive renormalization scheme and perturbation theory at finite temperature

Abstract

We argue that the choice of an appropriate, massive, renormalization scheme can greatly improve the apparent convergence of perturbation theory at finite temperature. This is illustrated by the calculation of the pressure of a scalar field theory with quartic interactions, at 2-loop order. The result, almost identical to that obtained with more sophisticated resummation techniques, shows a remarkable stability as the coupling constant grows, in sharp contrast with standard perturbation theory.

References in corpus (3)

• Perturbation theory and non-perturbative renormalization flow in scalar field theory at finite temperature
• Pressure to order $g^8\ast log(g)$ in ${\varphi }^4$-theory at weak coupling
• Calculation of the pressure of a hot scalar theory within the Non-Perturbative Renormalization Group

Cited by in corpus (6)

• Renormalization Group Optimized Perturbation Theory at Finite Temperatures
• Scale Invariant Resummed Perturbation at Finite Temperatures
• Renormalization group optimized $\lambda {\varphi }^4$ pressure at next-to-next-to-leading order
• Causality and Renormalization in Finite-Time-Path Out-of-Equilibrium ${\varphi }^3$ QFT
• Direct Photons from Hot Quark Matter in Renormalized Finite-Time-Path QED
• Cosmological constant as a finite temperature effect