Nonperturbative Flow Equations with Heat-Kernel Methods at finite Temperature

Details Nonperturbative Flow Equations with Heat-Kernel Methods at finite Temperature Nonperturbative Flow Equations with Heat-Kernel Methods at finite Temperature

1997-12-17

arxiv.org/abs/hep-ph/9712413v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages including 7 figures, LaTeX, uses epsf.sty. Talk given by the first author at Research Workshop on Deconfinement at Fi

Scientific paper

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.

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