Nonperturbative Flow Equations with Heat-Kernel Methods at finite Temperature
摘要
We derive nonperturbative flow equations within an effective constituent quark model for two quark flavors. Heat-kernel methods are employed for a renormalization group improved effective potential. We study the evolution of the effective potential with respect to an infrared cutoff scale at vanishing temperature. At the first stage we omit corrections coming from the anomalous dimension. This investigation is extrapolated to finite temperature, where we find a second order phase transition in the chiral limit at MeV. Due to a smooth decoupling of massive modes, we can directly link the low-temperature four-dimensional theory to the three-dimensional high-temperature theory and can determine universal critical exponents.
引用
@article{arxiv.hep-ph/9712413,
title = {Nonperturbative Flow Equations with Heat-Kernel Methods at finite Temperature},
author = {B. -J. Schaefer and H. J. Pirner},
journal= {arXiv preprint arXiv:hep-ph/9712413},
year = {2007}
}
备注
17 pages including 7 figures, LaTeX, uses epsf.sty. Talk given by the first author at Research Workshop on Deconfinement at Finite Temperature and Density, JINR Dubna, Russia, October 1-29, 1997