Chiral Symmetry Breaking in 2+1 dimensions due to Sphalerons

Details Chiral Symmetry Breaking in 2+1 dimensions due to Sphalerons Chiral Symmetry Breaking in 2+1 dimensions due to Sphalerons

1998-06-22

arxiv.org/abs/hep-ph/9806446v1

Phys.Rev. D58 (1998) 116004

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, LaTex, 1 figure, uses epsf

Scientific paper

10.1103/PhysRevD.58.116004

In 2+1 dimensional gauge thories with $SU(N_c)$ color and $2N_f$ flavors of quarks in the fundamental representation, sphalerons, if present may lead to quark condensation and chiral symmetry breaking. The effect is similar to instanton induced chiral symmetry breaking in 3+1 dimensions and is due to the interaction of quark propagators with sphalerons. The existence of sphalerons requires that color symmetries be broken by a Higgs in the fundamental representation. We show that the sphaleron effect may persist for arbitrarily large $N_f$ but vanishes along with the mass of the gauge fields corresponding to broken generators of $SU(N_c)$. The effect is inherently non-Abelian and absent for QED.

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