Ginzburg Criterion for the Chiral Transition

Details Ginzburg Criterion for the Chiral Transition Ginzburg Criterion for the Chiral Transition

1998-09-14

arxiv.org/abs/hep-lat/9809089v1

Nucl.Phys.Proc.Suppl. 73 (1999) 474-476

Physics

High Energy Physics

High Energy Physics - Lattice

LATTICE98(hightemp), 4 pages

Scientific paper

10.1016/S0920-5632(99)85109-3

This report is based on the work done together with J.B. Kogut and C.G. Strouthos. 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 window of non-trivial scaling 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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