Realization of Center Symmetry in Two Adjoint Flavor Large-N Yang-Mills

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We report on the results of numerical simulations of SU(N) lattice Yang Mills with two flavors of (light) Wilson fermion in the adjoint representation. We analytically and numerically address the question of center symmetry realization on lattices with {Lambda} sites in each direction in the large-N limit. We show, by a weak coupling calculation that, for massless fermions, center symmetry realization is independent of {Lambda}, and is unbroken. Then, we extend our result by conducting simulations at non zero mass and finite gauge coupling. Our results indicate that center symmetry is intact for a range of fermion mass in the ... continued below

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15 pages

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Catterall, Simon; U., /Syracuse; Galvez, Richard; U., /Syracuse; Unsal, Mithat & /SLAC /Stanford U., Phys. Dept. August 26, 2010.

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We report on the results of numerical simulations of SU(N) lattice Yang Mills with two flavors of (light) Wilson fermion in the adjoint representation. We analytically and numerically address the question of center symmetry realization on lattices with {Lambda} sites in each direction in the large-N limit. We show, by a weak coupling calculation that, for massless fermions, center symmetry realization is independent of {Lambda}, and is unbroken. Then, we extend our result by conducting simulations at non zero mass and finite gauge coupling. Our results indicate that center symmetry is intact for a range of fermion mass in the vicinity of the critical line on lattices of volume 2{sup 4}. This observation makes it possible to compute infinite volume physical observables using small volume simulations in the limit N {yields} {infinity}, with possible applications to the determination of the conformal window in gauge theories with adjoint fermions.

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15 pages

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  • Journal Name: JHEP 1008:010,2010; Journal Volume: 2010; Journal Issue: 8

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  • Report No.: SLAC-PUB-14161
  • Grant Number: AC02-76SF00515
  • DOI: 10.1007/JHEP08(2010)010 | External Link
  • Office of Scientific & Technical Information Report Number: 992961
  • Archival Resource Key: ark:/67531/metadc1014377

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  • August 26, 2010

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  • Oct. 14, 2017, 8:36 a.m.

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  • Nov. 3, 2017, 1:30 p.m.

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Catterall, Simon; U., /Syracuse; Galvez, Richard; U., /Syracuse; Unsal, Mithat & /SLAC /Stanford U., Phys. Dept. Realization of Center Symmetry in Two Adjoint Flavor Large-N Yang-Mills, article, August 26, 2010; [California]. (digital.library.unt.edu/ark:/67531/metadc1014377/: accessed June 20, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.