Polyakov Loops, Z(N) Symmetry, and Sine-Law Scaling
arXiv:hep-lat/0409136 · doi:10.1016/j.nuclphysbps.2004.11.120
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 , and a smooth connection to perturbation theory for large . The low-temperature phase consists of 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 -ality. Mixing occurs naturally between representations of the same -ality. Sine-law scaling emerges as a special case, associated with nearest-neighbor interactions between Polyakov loop eigenvalues.
arXiv commentTalk presented at Lattice2004(topology), Fermilab, June 21-26, 2004, 3 pages
References in corpus (21)
- Quark-Gluon Plasma as a Condensate of Z(3) Wilson Lines
- Dynamics of Supersymmetric Gauge Theory
- Casimir scaling of SU(3) static potentials
- Glueballs and k-strings in SU(N) gauge theories : calculations with improved operators
- Confinement and Strings in MQCD
- Phenomenological Equations of State for the Quark-Gluon Plasma
- Deconfining Phase Transition as a Matrix Model of Renormalized Polyakov Loops
- Confining strings in SU(N) gauge theories
- Static SU(3) potentials for sources in various representations
- Degrees of Freedom and the Deconfining Phase Transition
- Equivalence of Two Dimensional QCD and the Matrix Model
- SU(N) gauge theories in 2+1 dimensions -- further results
- Spectrum of confining strings in SU(N) gauge theories
- Gluon Quasiparticles and the Polyakov Loop
- Constrained effective potential in hot QCD
- Critical Behavior of Non Order-Parameter Fields
- Induced Universal Properties and Deconfinement
- Confining strings in representations with common -ality
- The Finite Temperature SU(2) Savvidy Model with a Non-trivial Polyakov Loop
- Finite Temperature Quark Confinement
- Variational analysis of the deconfinement phase transition