A random matrix model for chiral symmetry breaking

Abstract

We formulate a random matrix model which mimics the chiral phase transition in QCD with two light flavors. Two critical exponents are calculated. We obtain the mean field values $\beta =\frac{1}{2}$ and $\delta =3$. We also find that the chiral phase transition can be characterized by the dynamics of the smallest eigenvalue of the Dirac operator. This suggests an alternative order parameter which may be of relevance for lattice QCD simulations.

Latex file with 6 figures with corrected .uu file appended

References in corpus (4)

• Universal scaling of the valence quark mass dependence of the chiral condensate
• Universality of Random-Matrix Results for non-Gaussian Ensembles
• Effective Lagrangians and Chiral Random Matrix Theory
• Phase Transitions at Finite Temperature and Dimensional Reduction for Fermions and Bosons

Cited by in corpus (69)

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