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High Energy Physics Seminars

ics High Energy
Thursday, November 15, 2012
2:30 PM
Physics Building, Room 313
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Thomas Schaefer [Host: Diana Vaman]
North Carolina State University
"Continuity of the Deconfinement Transition in (Super) Yang Mills Theory"
 Slideshow (PDF)
Finding controlled, analytical approaches to the deconfinement transition in QCD is an old problem. Here we present a weak coupling calculation of the deconfinement transition in a deformed version of QCD. We argue that this transition is continuously connected to the transition in pure gauge theory, which takes place in strong coupling.

More technical abstract: We study the phase diagram of SU(2) Yang-Mills theory with one adjoint Weyl fermion on R^3xS^1 as a function of the fermion mass m and the compactification scale beta. This theory reduces to thermal pure gauge theory as m->infinity and to circle-compactified (twisted) susy gluodynamics in the limit m->0. In the m-L plane, there is a line of center symmetry changing phase transitions. In the limit m->infinity, this transition takes place at beta_c=1/T_c, where T_c is the critical temperature of the deconfinement transition in pure Yang-Mills theory. We show that near m=0, the critical scale beta_c can be computed using semi-classical methods and that the transition is of second order. This suggests that the deconfining phase transition in pure Yang-Mills theory is continuously connected to a phase transition that can be studied in weak coupling. The center symmetry changing phase transition arises from the competition of fractionally charged instanton-monopoles and instanton molecules. The calculation can be extended to higher rank gauge groups and non-zero theta angle.


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