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Polyakov Loops, Z(N) Symmetry, and Sine-Law Scaling

Authors
  • Meisinger, Peter N.
  • Ogilvie, Michael C.
Type
Preprint
Publication Date
Sep 21, 2004
Submission Date
Sep 21, 2004
Identifiers
DOI: 10.1016/j.nuclphysbps.2004.11.120
Source
arXiv
License
Unknown
External links

Abstract

We construct an effective action for Polyakov loops using the eigenvalues of the Polyakov loops as the fundamental variables. We assume Z(N) symmetry in the confined phase, a finite difference in energy densities between the confined and deconfined phases as $T\to 0$, and a smooth connection to perturbation theory for large $T$. The low-temperature phase consists of $N-1$ independent fields fluctuating around an explicitly Z(N) symmetric background. In the low-temperature phase, the effective action yields non-zero string tensions for all representations with non-trivial $N$-ality. Mixing occurs naturally between representations of the same $N$-ality. Sine-law scaling emerges as a special case, associated with nearest-neighbor interactions between Polyakov loop eigenvalues.

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