Conference Paper/Proceeding/Abstract 1033 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...
| Published: |
2009
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| 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 |
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| College: |
Faculty of Science and Engineering |
| Start Page: |
046 |