Nonperturbative volume reduction of large-N QCD with adjoint fermions

Journal Article · Tue Sep 15 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.065031· OSTI ID:21322788

Bringoltz, Barak; Sharpe, Stephen R ^[1]

---

1. Department of Physics, University of Washington, Seattle, Washington 98195-1560 (United States)

We use nonperturbative lattice techniques to study the volume-reduced 'Eguchi-Kawai' version of four-dimensional large-N QCD with a single adjoint Dirac fermion. We explore the phase diagram of this single-site theory in the space of quark mass and gauge coupling using Wilson fermions for a number of colors in the range 8{<=}N{<=}15. Our evidence suggests that these values of N are large enough to determine the nature of the phase diagram for N{yields}{infinity}. We identify the region in the parameter space where the (Z{sub N}){sup 4} center symmetry is intact. According to previous theoretical work using the orbifolding paradigm, and assuming that translation invariance is not spontaneously broken in the infinite-volume theory, in this region volume reduction holds: the single-site and infinite-volume theories become equivalent when N{yields}{infinity}. We find strong evidence that this region includes both light and heavy quarks (with masses that are at the cutoff scale), and our results are consistent with this region extending toward the continuum limit. We also compare the action density and the eigenvalue density of the overlap Dirac operator in the fundamental representation with those obtained in large-N pure-gauge theory.

• OSTI ID: 21322788
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 80; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
B QUARKS
C QUARKS
COMPARATIVE EVALUATIONS
COUPLING
DENSITY
DIRAC OPERATORS
EIGENVALUES
FERMIONS
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
LATTICE FIELD THEORY
MASS
PHASE DIAGRAMS
QUANTUM CHROMODYNAMICS
SYMMETRY
T QUARKS