Nonperturbative Flow Equations with Heat-Kernel Methods at finite Temperature

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dc.creatorSchaefer, B. -J.
dc.creatorPirner, H. J.
dc.date1997-12-17
dc.date.accessioned2026-07-07T04:03:08Z
dc.date.available2026-07-07T04:03:08Z
dc.descriptionWe 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.
dc.description17 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
dc.identifierhttps://arxiv.org/abs/hep-ph/9712413
dc.identifierhttp://arxiv.org/abs/hep-ph/9712413
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/47527
dc.subjectHigh Energy Physics - Phenomenology
dc.titleNonperturbative Flow Equations with Heat-Kernel Methods at finite Temperature
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