Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-03-13
Phys.Rev.D78:045012,2008
Physics
High Energy Physics
High Energy Physics - Theory
22 pages, 19 figures, revtex4. Updated formatting
Scientific paper
10.1103/PhysRevD.78.045012
A class of large N SU(N) gauge theories on a compact manifold S^3 X R (with possible inclusion of adjoint matter) is known to show first order deconfinement transition at the deconfinement temperature. This includes the familiar example of pure YM theory and N=4 SYM theory. Here we study the effect of introduction of N_f fundamental matter fields in the phase diagram of the above mentioned gauge theories at small coupling and in the limit of large N and finite N_f/N. We find some interesting features like the termination of the line of first order deconfinement phase transition at a critical point as the ratio N_f/N is increased and absence of deconfinement transition thereafter (there is only a smooth crossover). This result may have some implication for QCD, which unlike a pure gauge theory does not show a first order deconfinement transition and only displays a smooth crossover at the transition temperature.
Basu Pallab
Mukherjee Anindya
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