1997/12/17 by Bernd-Jochen Schaefer, B. -J. Schaefer, Schaefer, B. -J. +2
Engineering · Physics and Astronomy · #Advanced Numerical Methods in Computational Mathematics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/9712413
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
arxiv created 1997/12/17 · openalex publication_date 1997/12/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 Tc ≈ 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.