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Conference Paper/Proceeding/Abstract 387 views

Phase diagram of adjoint QCD at weak coupling and finite volume / Joyce C. Myers; Timothy Hollowood

Volume: "LAT2009", Start page: 046

Swansea University Author: Timothy, Hollowood

Abstract

The phase diagram of SU(N) gauge theories with fermions in an arbitrary representation R can be calculated on finite volume manifolds such as S^1 x S^3. When S^3 is small a perturbative analysis is possible and the weak-coupling analogue of the pure Yang-Mills theory confinement-deconfinement transi...

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Published: 2009
Online Access: http://inspirehep.net/record/832881
URI: https://cronfa.swan.ac.uk/Record/cronfa28521
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Abstract: The phase diagram of SU(N) gauge theories with fermions in an arbitrary representation R can be calculated on finite volume manifolds such as S^1 x S^3. When S^3 is small a perturbative analysis is possible and the weak-coupling analogue of the pure Yang-Mills theory confinement-deconfinement transition is accessible in the large N limit. We calculate the large N phase diagram of adjoint QCD [SU(N) gauge theory with adjoint fermions] where periodic boundary conditions are applied to fermions on S^1 such that the confined phase is favored for light enough adjoint fermion mass. We calculate the value of the mass times the radius of S^3 below which the confined phase is favored for all volumes of S^1 / S^3 and discuss the implications for large N volume reduction. We calculate also the phase diagram for N = 3 and compare with recent lattice
College: College of Science
Start Page: 046