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Large-N reduction with adjoint Wilson fermions · Around

2012

Large-N reduction with adjoint Wilson fermions

Bringoltz, Barak, Koren, Mateusz, Sharpe, Stephen R.

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We analyze the large-N behavior of SU(N) lattice gauge theories with adjoint fermions by studying volume-reduced models, as pioneered by Eguchi and Kawai.

We perform simulations on a single-site lattice for Nf = 1 and Nf = 2 Wilson Dirac fermions with values of N up to 53.
We show for both values of Nf that in the large-N limit there is a finite region, containing both light and heavy fermions, of unbroken center symmetry where the theory exhibits volume independence.
Using large-N reduction we attempt to calculate physical quantities such as the string tension and meson masses.

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