Abstract
We investigate the phase structure of SU(4) gauge theory with the gauge field simultaneously coupled to two flavors of fermion in the fundamental representation and two flavors of fermion in the two-index antisymmetric representation. We find that the theory has only two phases, a low-temperature phase with both species of fermion confined and chirally broken, and a high-temperature phase with both species of fermion deconfined and chirally restored. The single phase transition in the theory appears to be first order, in agreement with theoretical predictions.
Highlights
We investigate the phase structure of SU(4) gauge theory with the gauge field simultaneously coupled to two flavors of fermions in the fundamental representation and two flavors of fermions in the two-index antisymmetric representation
We find that the theory has only two phases: a low-temperature phase with both species of fermion confined and chirally broken, and a high-temperature phase with both species of fermion deconfined and chirally restored
We have been performing numerical simulations of SU(4) gauge theory coupled to two flavors of Dirac fermions in the fundamental representation and two flavors of Dirac fermions in the two-index antisymmetric representation, which is a real representation
Summary
We have been performing numerical simulations of SU(4) gauge theory coupled to two flavors of Dirac fermions in the fundamental (quartet) representation and two flavors of Dirac fermions in the two-index antisymmetric (sextet) representation, which is a real representation. The presence of multiple fermion representations (a multirep theory) opens the possibility of dynamical scale separation between the confinement and chiral transitions for each representation. Representations [7,8,9,10], but it is not known whether these results persist in the presence of dynamical fermions It may be possible for the scales of the chiral and confinement transitions to be different. Our numerical data lead us to the conclusion that there is only a single finite-temperature phase transition in this theory, with the characteristics of chiral restoration and deconfinement for both fermion species. Since scale setting in the latter case is model dependent, we do not attempt it here
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