Comments on large-N volume independence

Abstract

We study aspects of the large-N volume independence on R**3 x L**G, where L**G is a G-site lattice for Yang-Mills theory with adjoint Wilson-fermions. We find the critical number of lattice sites above which the center-symmetry analysis on L**G agrees with the one on the continuum S**1. For Wilson parameter set to one and G>=2, the two analyses agree. One-loop radiative corrections to Wilson-line masses are finite, reminiscent of the UV-insensitivity of the Higgs mass in deconstruction/Little-Higgs theories. Even for theories with G=1, volume independence in QCD(adj) may be guaranteed to work by tuning one low-energy effective field theory parameter. Within the parameter space of the theory, at most three operators of the 3d effective field theory exhibit one-loop UV-sensitivity. This opens the analytical prospect to study 4d non-perturbative physics by using lower dimensional field theories (d=3, in our example).

12 pages; added small clarifications, published version

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• Volume independence in large Nc QCD-like gauge theories
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Cited by in corpus (16)

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• Effective matrix model for deconfinement in pure gauge theories
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• Large N Volume Independence and an Emergent Fermionic Symmetry
• Collisional energy loss above the critical temperature in QCD
• Realization of Center Symmetry in Two Adjoint Flavor Large-N Yang-Mills
• k-String Tension from Eguchi-Kawai Reduction
• Phase structure and Hosotani mechanism in gauge theories with compact dimensions revisited
• Bose-Fermi Degeneracies in Large $N$ Adjoint QCD
• Adiabatic continuity and confinement in supersymmetric Yang-Mills theory on the lattice
• Weak-coupling analysis of the single-site large-N gauge theory coupled to adjoint fermions
• Large N reduction on coset spaces
• Renormalon structure in compactified spacetime
• Numerical computation of the beta function of large N SU(N) gauge theory coupled to an adjoint Dirac fermion
• Large N and Bosonization in Three Dimensions