Thermal Renormalization Group-Equations and the Phase-Transition of Scalar O(N)-Theories

Details Thermal Renormalization Group-Equations and the Phase-Transition of Scalar O(N)-Theories Thermal Renormalization Group-Equations and the Phase-Transition of Scalar O(N)-Theories

1998-09-03

arxiv.org/abs/hep-ph/9809251v1

Phys.Rev.D60:105036,1999

Physics

High Energy Physics

High Energy Physics - Phenomenology

32 pages with 10 figures and 4 tables included, latex2e

Scientific paper

10.1103/PhysRevD.60.105036

We discuss the formulation of "thermal renormalization group-equations" and their application to the finite temperature phase-transition of scalar O(N)-theories. Thermal renormalization group-equations allow for a computation of both the universal and the non-universal aspects of the critical behavior directly in terms of the zero-temperature physical couplings. They provide a nonperturbative method for a computation of quantities like real-time correlation functions in a thermal environment, where in many situations straightforward perturbation theory fails due to the bad infrared-behavior of the thermal fluctuations. We present results for the critical temperature, critical exponents and amplitudes as well as the scaling equation of state for self-interacting scalar theories.

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