Gauged Yukawa Matrix Models and 2-Dimensional Lattice Theories

Details Gauged Yukawa Matrix Models and 2-Dimensional Lattice Theories Gauged Yukawa Matrix Models and 2-Dimensional Lattice Theories

1995-11-20

arxiv.org/abs/hep-ph/9511377v1

Phys.Rev. D53 (1996) 5886-5890

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX, 11 pages

Scientific paper

10.1103/PhysRevD.53.5886

We argue that chiral symmetry breaking in three dimensional QCD can be identified with N\'eel order in 2-dimensional quantum antiferromagnets. When operators which drive the chiral transition are added to these theories, we postulate that the resulting quantum critical behavior is in the universality class of gauged Yukawa matrix models. As a consequence, the chiral transition is typically of first order, although for a limited class of parameters it can be second order with computable critical exponents.

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