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

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

2001-10-17

arxiv.org/abs/hep-th/0110157v2

Phys.Rev. D65 (2002) 085015

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, revtex, references added, version to appear in PRD

Scientific paper

10.1103/PhysRevD.65.085015

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.

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