Large-N volume independence in conformal and confining gauge theories

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Consequences of large N volume independence are examined in conformal and confining gauge theories. In the large N limit, gauge theories compactified on R{sup d-k} x (S{sup 1}){sup k} are independent of the S{sup 1} radii, provided the theory has unbroken center symmetry. In particular, this implies that a large N gauge theory which, on R{sup d}, flows to an IR fixed point, retains the infinite correlation length and other scale invariant properties of the decompactified theory even when compactified on R{sup d-k} x (S{sup 1}){sup k}. In other words, finite volume effects are 1/N suppressed. In lattice formulations of ... continued below

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24 pages

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Unsal, Mithat; /SLAC; Yaffe, Laurence G. & /Washington U., Seattle August 26, 2010.

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Consequences of large N volume independence are examined in conformal and confining gauge theories. In the large N limit, gauge theories compactified on R{sup d-k} x (S{sup 1}){sup k} are independent of the S{sup 1} radii, provided the theory has unbroken center symmetry. In particular, this implies that a large N gauge theory which, on R{sup d}, flows to an IR fixed point, retains the infinite correlation length and other scale invariant properties of the decompactified theory even when compactified on R{sup d-k} x (S{sup 1}){sup k}. In other words, finite volume effects are 1/N suppressed. In lattice formulations of vector-like theories, this implies that numerical studies to determine the boundary between confined and conformal phases may be performed on one-site lattice models. In N = 4 supersymmetric Yang-Mills theory, the center symmetry realization is a matter of choice: the theory on R{sup 4-k} x (S{sup 1}){sup k} has a moduli space which contains points with all possible realizations of center symmetry. Large N QCD with massive adjoint fermions and one or two compactified dimensions has a rich phase structure with an infinite number of phase transitions coalescing in the zero radius limit.

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24 pages

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  • Journal Name: JHEP 1008:030,2010

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  • Report No.: SLAC-PUB-14160
  • Grant Number: AC02-76SF00515
  • Office of Scientific & Technical Information Report Number: 992962
  • Archival Resource Key: ark:/67531/metadc1014632

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  • August 26, 2010

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  • Oct. 14, 2017, 8:36 a.m.

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  • Nov. 2, 2017, 8:13 p.m.

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Unsal, Mithat; /SLAC; Yaffe, Laurence G. & /Washington U., Seattle. Large-N volume independence in conformal and confining gauge theories, article, August 26, 2010; [California]. (digital.library.unt.edu/ark:/67531/metadc1014632/: accessed November 18, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.