Dashen's Phenomenon in Gauge Theories with Spontaneously Broken Chiral Symmetries

Abstract

We examine Dashen's phenomenon in the Leutwyler--Smilga regime of QCD with any number of colors and quarks in either the fundamental or adjoint representations of the gauge group. In this limit, the theories only depend on simple combinations of quark masses, volume, chiral condensate and vacuum angle. Based upon this observation, we derive simple expressions for the chiral condensate and the topological density and show that they are in fact related. By examining the zeros of the various partition functions, we elucidate the mechanism leading to Dashen's phenomena in QCD.

arXiv comment5 pages, revtex, references added, version to appear in PRD

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• Topological observables and $\theta$ dependence in high temperature QCD from lattice simulations
• On the Phase Diagram of QCD with Small Isospin Chemical Potential
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