Four fermion operators and the search for BSM Physics

Simon Catterall, Aarti Veernala

Research output: Contribution to journalConference Articlepeer-review


We report on Monte Carlo simulations focused on elucidating the phase structure of a SU(2) gauge theory containing Nf Dirac fermion flavors transforming in the fundamental representation of the group and interacting through an additional chirally invariant four fermion term. Pairs of physical flavors are implemented using the two tastes present in a reduced staggered fermion formulation of the theory with the Yukawa interactions necessary for generating the four fermion term preserving the usual shift symmetries. We observe a crossover in the behavior of the chiral condensate for strong four fermi coupling associated with the generation of a dynamical mass for the fermions. At weak gauge coupling this crossover is consistent with the usual continuous phase transition seen in the pure (ungauged) NJL model. However, if the gauge coupling is strong enough to cause confinement we observe a much more rapid crossover in the chiral condensate consistent with a first order phase transition.

Original languageEnglish (US)
Article number023
JournalProceedings of Science
VolumePart F130497
StatePublished - 2012
Event30th International Symposium on Lattice Field Theory, Lattice 2012 - Cairns, Australia
Duration: Jun 24 2012Jun 29 2012

ASJC Scopus subject areas

  • General


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