Abstract
We report preliminary results on the finite temperature behavior of SU(4) gauge theory with dynamical quarks in both the fundamental and two-index antisymmetric representations. This system is a candidate to present scale separation behavior, where fermions in different representations condense at different temperature or coupling scales. Our simulations, however, reveal a single finite-temperature phase transition at which both representations deconfine and exhibit chiral restoration. It appears to be strongly first order. We compare our results to previous single-representation simulations. We also describe a Pisarski-Wilczek stability analysis, which suggests that the transition should be first order.
Highlights
Lattice gauge theories with fermions in multiple representations (“multirep” theories) provide an arena to test the old ideas of tumbling or scale separation [1]
The physical picture is that when a gauge coupling becomes sufficiently strong in the infrared, a scalar fermion bilinear will form, breaking chiral symmetry
We study an SU(4) gauge theory with two flavors of Dirac fermions charged under the fundamental irreducible representation F of SU(4); and an additional two flavors of Dirac fermions charged under the two-index antisymmetric irrep A2 of SU(4)
Summary
Lattice gauge theories with fermions in multiple representations (“multirep” theories) provide an arena to test the old ideas of tumbling or (for vectorlike systems) scale separation [1]. Quenched simulations from the early 80’s (performed on small lattices with large gauge couplings) [2,3,4,5] appeared to show such behavior. Some old simulations with dynamical fermions (see [6]) indicate this behavior. The issue with these systems is that they all appear to be near or beyond the conformal window (whose precise boundary is still controversial), so they may not be chirally broken at all. In these Proceedings, we describe our preliminary results for the finite-temperature phase structure of this theory
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