Twisted space-time reduced model of large N QCD with two adjoint Wilson fermions

Abstract

The space-time reduced model of large N QCD with two adjoint Wilson fermions is constructed by applying the symmetric twist boundary conditions with non-vanishing flux $k$. For large but finite $N=L^2$, the model should behave as the large N version of the ordinary lattice gauge model on a $V=L^4$ space-time volume. We perform a comparison of the $N$ dependence of several quantities in this model and in the $k$=0 model (corresponding to periodic boundary conditions). Although the Z${}^4$(N) symmetry seems unbroken in all cases, the N-dependence analysis favours the use of the same values of $k$ and $L$ for which the symmetry is also unbroken in the pure gauge case. In particular, the $k=0$ model, studied recently by several authors, shows a large and irregular dependence on $N$ within our region of parameters. This makes this reduced model very impractical for extracting physical information about the large N lattice theory. On the contrary, the model for $N=289=17^2$ and large enough $k$ gives consistent results, even for extended observables as Wilson loops $W(R,T)$ up to $R,T$=8, matching the expected behaviour for the lattice model with a $17^4$ space-time volume.

latex. 14 text pages, 3 tables and 7 figures

References in corpus (9)

• SU(N) gauge theories at large N
• Volume independence in large Nc QCD-like gauge theories
• The string tension from smeared Wilson loops at large N
• Symmetry Breaking In Twisted Eguchi-Kawai Models
• Large-N reduction in QCD-like theories with massive adjoint fermions
• Phase structure of twisted Eguchi-Kawai model
• Breakdown of large-N quenched reduction in SU(N) lattice gauge theories
• Large-N reduction of SU(N) Yang-Mills theory with massive adjoint overlap fermions
• Weak-coupling analysis of the single-site large-N gauge theory coupled to adjoint fermions

Cited by in corpus (18)

• Adjoint QCD on ${\mathbb{R}}^3\times S^1$ with twisted fermionic boundary conditions
• Introductory lectures to large-N QCD phenomenology and lattice results
• Large N Volume Independence and an Emergent Fermionic Symmetry
• Testing volume independence of SU(N) pure gauge theories at large N
• Mass anomalous dimension of Adjoint QCD at large N from twisted volume reduction
• Large N meson masses from a matrix model
• Bose-Fermi cancellations without supersymmetry
• Volume independence for Yang-Mills fields on the twisted torus
• Scale setting for large-$N$ SUSY Yang-Mills on the lattice
• The twisted gradient flow coupling at one loop
• Large N meson propagators from twisted space-time reduced model
• ${\mathbb{Z}}_N$ stability and continuity in twisted Eguchi-Kawai model with two-flavor adjoint fermions
• Perturbative contributions to Wilson loops in twisted lattice boxes and reduced models
• Flow of Hagedorn singularities and phase transitions in large $N$ gauge theories
• A thick-restart Lanczos type method for Hermitian $J$-symmetric eigenvalue problems
• A comparison of updating algorithms for large N reduced models
• Scale setting for $\mathcal{N}=1$ SUSY Yang-Mills at large-$N$ through volume-reduced twisted matrix model
• Meson masses and decay constants at large $N$