Critical region of the finite temperature chiral transition

Details Critical region of the finite temperature chiral transition Critical region of the finite temperature chiral transition

1998-05-26

arxiv.org/abs/hep-lat/9805023v2

Phys.Rev. D58 (1998) 096001

Physics

High Energy Physics

High Energy Physics - Lattice

18 pages

Scientific paper

10.1103/PhysRevD.58.096001

We study a Yukawa theory with spontaneous chiral symmetry breaking and with a large number N of fermions near the finite temperature phase transition. Critical properties in such a system can be described by the mean field theory very close to the transition point. We show that the width of the region where non-trivial critical behavior sets in is suppressed by a certain power of 1/N. Our Monte Carlo simulations confirm these analytical results. We discuss implications for the chiral phase transition in QCD.

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