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Abstract: We use nonperturbative lattice techniques to study the volume-reduced-Eguchi-Kawai- version of four-dimensional large-N QCD with a single adjointDirac fermion. We explore the phase diagram of this single-site theory in thespace of quark mass and gauge coupling using Wilson fermions for a number ofcolors in the range 8 <= N <= 15. Our evidence suggests that these values of Nare large enough to determine the nature of the phase diagram for N->oo. Weidentify the region in the parameter space where the Z N^4 center-symmetry isintact. According to previous theoretical work using the orbifolding paradigm,and assuming that translation invariance is not spontaneously broken in theinfinite-volume theory, in this region volume reduction holds: the single-siteand infinite-volume theories become equivalent when N->oo. We find strongevidence that this region includes both light and heavy quarks with massesthat are at the cutoff scale, and our results are consistent with this regionextending towards the continuum limit. We also compare the action density andthe eigenvalue density of the overlap Dirac operator in the fundamentalrepresentation with those obtained in large-N pure-gauge theory.



Autor: Barak Bringoltz, Stephen R. Sharpe

Fuente: https://arxiv.org/







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