Nonperturbative Flow Equations with Heat-Kernel Methods at finite Temperature
Abstract
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 $k$ 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 low-temperature four-dimensional theory to the three-dimensional high-temperature theory and can determine universal critical exponents.
- Publication:
-
arXiv e-prints
- Pub Date:
- December 1997
- DOI:
- 10.48550/arXiv.hep-ph/9712413
- arXiv:
- arXiv:hep-ph/9712413
- Bibcode:
- 1997hep.ph...12413S
- Keywords:
-
- High Energy Physics - Phenomenology
- E-Print:
- 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