Chiral Symmetry Breaking in 2 + 1 dimensions due to Sphalerons

  title={Chiral Symmetry Breaking in 2 + 1 dimensions due to Sphalerons},
  author={Indranil Dasgupta and L. C. Rohana Wijewardhana},
In 2 + 1 dimensional gauge thories with SU(Nc) color and 2Nf 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… CONTINUE READING

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