Phases of a strongly coupled four-fermion theory
I will present recent and ongoing investigations of a four-dimensional lattice field theory with four massless reduced staggered fermions coupled through an SU(4)-invariant four-fermion interaction. As in previous studies of four-fermion and Higgs--Yukawa models with different lattice fermion discretizations, we observe a strong-coupling phase in which the system develops a mass gap without breaking any lattice symmetry. In contrast to those previous studies we do not observe the formation of a symmetry-breaking bilinear condensate for any value of the coupling. Instead of a broken intermediate phase we find evidence for one or more continuous phase transitions separating the symmetric weak- and strong--coupling regimes.
Preferred track (if multiple tracks have been selected)
Applications Beyond QCD