Nonperturbative Flow Equations with HeatKernel Methods at finite Temperature
Abstract
We derive nonperturbative flow equations within an effective constituent quark model for two quark flavors. Heatkernel 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 $k$ 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 $T_c \approx 130$ MeV. Due to a smooth decoupling of massive modes, we can directly link the lowtemperature fourdimensional theory to the threedimensional hightemperature theory and can determine universal critical exponents.
 Publication:

arXiv eprints
 Pub Date:
 December 1997
 DOI:
 10.48550/arXiv.hepph/9712413
 arXiv:
 arXiv:hepph/9712413
 Bibcode:
 1997hep.ph...12413S
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 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 129, 1997