Numerical computation of the beta function of large N SU(N) gauge theory coupled to an adjoint Dirac fermion

Abstract

We use a single site lattice in four dimensions to study the scaling of large N Yang-Mills field coupled to a single massless Dirac fermion in the adjoint representation. We use the location of the strong to weak coupling transition defined through the eigenvalues of the folded Wilson loop operator to set a scale. We do not observe perturbative scaling in the region studied in this paper. Instead, we observe that the scale changes very slowly with the bare coupling. The lowest eigenvalue of the overlap Dirac operator is another scale that shows similar behavior as a function of the lattice coupling. We speculate that this behavior is due to the beta function appoaching close to a zero.

16 pages, 9 figures, revised version DOES NOT match the published version in Physical Review D

References in corpus (10)

• Infinite N phase transitions in continuum Wilson loop operators
• Volume independence in large Nc QCD-like gauge theories
• Zero of the discrete beta function in SU(3) lattice gauge theory with color sextet fermions
• Infrared fixed point in SU(2) gauge theory with adjoint fermions
• Finite size phase transitions in QCD with adjoint fermions
• Infrared fixed point of the 12-fermion SU(3) gauge model based on 2-lattice MCRG matching
• Large-N reduction in QCD-like theories with massive adjoint fermions
• MCRG Minimal Walking Technicolor
• Large-N volume reduction of lattice QCD with adjoint Wilson fermions at weak-coupling
• Large-N reduction of SU(N) Yang-Mills theory with massive adjoint overlap fermions

Cited by in corpus (7)

• The infrared regime of SU(2) with one adjoint Dirac flavour
• Volume independence for Yang-Mills fields on the twisted torus
• Weak-coupling analysis of the single-site large-N gauge theory coupled to adjoint fermions
• Large-$N_c$ gauge theory and chiral random matrix theory
• Topological order and the vacuum of Yang-Mills theories
• Eguchi-Kawai reduction with one flavor of adjoint Moebius fermion
• Scale invariant behavior in a large N matrix model