Ginzburg Criterion for the Chiral Transition
arXiv:hep-lat/9809089 · doi:10.1016/S0920-5632(99)85109-3
Abstract
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.
LATTICE98(hightemp), 4 pages
References in corpus (5)
- Static and Dynamic Critical Phenomena at a Second Order QCD Phase Transition
- Four - Fermi Theories in Fewer Than Four Dimensions
- Can Sigma Models Describe Finite Temperature Chiral Transitions?
- Phase Transitions at Finite Temperature and Dimensional Reduction for Fermions and Bosons
- Dimensional Reduction and Quantum-to-Classical Reduction at High Temperatures