Abstract
We study the Polyakov loop dynamics originating from finite-temperature
Yang-Mills theory. The effective actions contain center-symmetric terms
involving powers of the Polyakov loop, each with its own coupling. For a
subclass with two couplings we perform a detailed analysis of the statistical
mechanics involved. To this end we employ a modified mean field approximation
and Monte Carlo simulations based on a novel cluster algorithm. We find
excellent agreement of both approaches. The phase diagram exhibits both first
and second order transitions between symmetric, ferromagnetic and
antiferromagnetic phases with phase boundaries merging at three tricritical
points. The critical exponents $\nu$ and $\gamma$ at the continuous transition
between symmetric and antiferromagnetic phases are the same as for the 3-state
spin Potts model.
Original language | English |
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Number of pages | 0 |
Journal | SIGMA |
Volume | 3 |
Issue number | 0 |
Publication status | Published - 6 Oct 2006 |
Keywords
- hep-lat