A Gauge Theory of Wilson Lines as a Dimensionally Reduced Model of QCD_3
arXiv:hep-lat/0403027 · doi:10.1016/j.nuclphysb.2004.10.045
Abstract
We analyze a two dimensional SU(3) gauge model of Wilson lines as a dimensionally reduced model of high temperature QCD_3. In contrast to perturbative dimensional reduction it has an explicit global Z(3) symmetry in the action. The phase diagram of the model is studied in the space of two free parameters used to describe the self interaction of the Wilson lines. In addition to the confinement-deconfinement transition, the model also exhibits a new Z(3)-breaking phase. These findings are obtained by numerical simulations, and supported by a perturbative calculation to one loop. A screening mass from Polyakov loop correlations is calculated numerically. It matches the known QCD_3 mass in a domain of parameters belonging to the normal deconfined phase.
arXiv comment28 pages: revised version to be published in Nuclear Physics B
References in corpus (19)
- Quark-Gluon Plasma as a Condensate of Z(3) Wilson Lines
- 3d SU(N) + adjoint Higgs theory and finite temperature QCD
- Static correlation lengths in QCD at high temperatures and finite densities
- Two-point functions for SU(3) Polyakov Loops near T_c
- Propagators and Dimensional Reduction of Hot SU(2) Gauge Theory
- The spectrum of the three-dimensional adjoint Higgs model and hot SU(2) gauge theory
- Dimensional Reduction and Screening Masses in Pure Gauge Theories at Finite Temperature
- Fitting Correlated Hadron Mass Spectrum Data
- The Phase Diagram of Three-Dimensional SU(3) + Adjoint Higgs Theory
- Screening Masses of Hot SU(2) Gauge Theory from the 3d Adjoint Higgs Model
- Gauge-invariant scalar and field strength correlators in 3d
- Screening Masses in SU(2) Pure Gauge Theory
- Tests of the Polyakov Loops Model
- High Temperature 3D QCD: Dimensional Reduction at Work
- QCD with Adjoint Scalars in 2D: Properties in the Colourless Scalar Sector
- Static correlation lengths in QCD at high temperature and finite density
- Dimensional reduction in QCD: Lessons from lower dimensions
- Screening Masses in Dimensionally Reduced (2+1)D Gauge Theory
- Z(3) Symmetric Dimensional Reduction of (2+1)D QCD
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- Center-Symmetric Effective Theory for High-Temperature SU(2) Yang-Mills Theory
- Zero Point Energy of Renormalized Wilson Loops
- Exact fuzzy sphere thermodynamics in matrix quantum mechanics
- Framework for non-perturbative analysis of a Z(3)-symmetric effective theory of finite temperature QCD
- Beta-functions for a SU(2) Matrix Model in 2 + epsilon Dimensions
- Matrix model for deconfinement in an SU(2) gauge theory in 2+1 dimensions
- Matrix model for deconfinement in a SU(Nc) gauge theory in 2+1 dimensions
- Revisiting glueball wave functions at zero and finite temperature
- Z(3)-symmetric effective theory for pure gauge QCD at high temperature