Polyakov loop in different representations of SU(3) at finite temperature

Abstract

We investigate the Polyakov loop in different representations of SU(3) in pure gauge at finite $T$. We discuss Casimir scaling for the Polyakov loop in the deconfined phase and test and generalize the renormalization procedure for the Polyakov loop from \cite{Kaczmarek:2002mc} to arbitrary representations. In the confined phase we extract the renormalized adjoint Polyakov loop, which is finite in the thermodynamic limit. For our numerical calculations we used the tree-level improved Symanzik action on $32^3\times 4,6,8$ lattices.

4 pages, 4 figures, to appear in the proceedings of International Conference on Strong & Electroweak Matter 2006, Brookhaven National Laboratory, USA, May 10-13, 2006

References in corpus (6)

• Heavy Quark Anti-Quark Free Energy and the Renormalized Polyakov Loop
• The static potential in QCD to two loops
• Casimir scaling of SU(3) static potentials
• Deconfining Phase Transition as a Matrix Model of Renormalized Polyakov Loops
• The Polyakov Loop and its Relation to Static Quark Potentials and Free Energies
• Non-perturbative formulation of the static color octet potential

Cited by in corpus (12)

• Phases of Dense Quarks at Large N_c
• Gauge dynamics in the PNJL model: Color neutrality and Casimir scaling
• Phenomenology of the three-flavor PNJL model and thermal strange quark production
• Center Domains and their Phenomenological Consequences
• The quark-hadron thermodynamics in magnetic field
• Eigenvalue repulsion in an effective theory of SU(2) Wilson lines in three dimensions
• Dynamical role of Polyakov loops in the QCD thermodynamics
• Effective potential for Polyakov loops from a center symmetric effective theory in three dimensions
• The colormagnetic confinement in QCD
• Color screening in flux tubes and in the color Coulomb potential from the QCD Field Correlators
• Lattice simulation of a center symmetric three-dimensional effective theory for SU(2) Yang-Mills
• Aspects of thermal strange quark production: the deconfinement and chiral phase transitions