Four Fermion Interactions in Non Abelian Gauge Theory

Abstract

in this case we observe a rst order phase transition for some critical value of the four fermi coupling associated with a strong enhancement of the chiral condensate. We observe that this critical four fermi coupling varies monotonically with bare gauge coupling - decreasing, as expected, as the gauge coupling is increased. We have checked that these results remain stable under diering levels of smearing. They appear to rule out the appearance of new xed points associated with chirally invariant four fermion interactions in conning non abelian gauge theories.