%0 Journal Article %1 jahn_polyakov_2004 %A Jahn, Oliver %A Philipsen, Owe %D 2004 %J arXiv:hep-lat/0407042 %K - Energy High Lattice Lattice, Phenomenology, Physics {EffectivePolyakovModel}, {EquationOfState}, %R 10.1103/PhysRevD.70.074504 %T The Polyakov Loop and its Relation to Static Quark Potentials and Free Energies %U http://arxiv.org/abs/hep-lat/0407042 %X It appears well accepted in the literature that the correlator of Polyakov loops in a finite temperature system decays with the äverage" free energy of the static quark-antiquark system, and can be decomposed into singlet and adjoint (or octet for QCD) contributions. By fixing a gauge respecting the transfer matrix, attempts have been made to extract those contributions separately. In this paper we point out that the äverage" and ädjoint" channels of Polyakov loop correlators are misconceptions. We show analytically that all channels receive contributions from singlet states only, and give a corrected definition of the singlet free energy. We verify this finding by simulations of the 3d SU(2) pure gauge theory in the zero temperature limit, which allows to cleanly extract the ground state exponents and the non-trivial matrix elements. The latter account for the difference between the channels observed in previous simulations.

@article{jahn_polyakov_2004, abstract = {It appears well accepted in the literature that the correlator of Polyakov loops in a finite temperature system decays with the "average" free energy of the static quark-antiquark system, and can be decomposed into singlet and adjoint (or octet for {QCD)} contributions. By fixing a gauge respecting the transfer matrix, attempts have been made to extract those contributions separately. In this paper we point out that the "average" and "adjoint" channels of Polyakov loop correlators are misconceptions. We show analytically that all channels receive contributions from singlet states only, and give a corrected definition of the singlet free energy. We verify this finding by simulations of the 3d {SU(2)} pure gauge theory in the zero temperature limit, which allows to cleanly extract the ground state exponents and the non-trivial matrix elements. The latter account for the difference between the channels observed in previous simulations.}, added-at = {2013-03-05T18:20:59.000+0100}, author = {Jahn, Oliver and Philipsen, Owe}, biburl = {https://www.bibsonomy.org/bibtex/2862735982a3f679e710890aead9c1bb8/gber}, doi = {10.1103/PhysRevD.70.074504}, file = {arXiv.org Snapshot:/home/bergner/zotero/storage/78BIUTN4/0407042.html:text/html;hep-lat/0407042 PDF:/home/bergner/zotero/storage/8DV2S59D/Jahn und Philipsen - 2004 - The Polyakov Loop and its Relation to Static Quark.pdf:application/pdf}, interhash = {ba317650ee6b23139ea23ed3c95e7b4d}, intrahash = {862735982a3f679e710890aead9c1bb8}, journal = {{arXiv:hep-lat/0407042}}, keywords = {- Energy High Lattice Lattice, Phenomenology, Physics {EffectivePolyakovModel}, {EquationOfState},}, month = jul, note = {{Phys.Rev.} D70 (2004) 074504}, timestamp = {2013-03-05T18:20:59.000+0100}, title = {The Polyakov Loop and its Relation to Static Quark Potentials and Free Energies}, url = {http://arxiv.org/abs/hep-lat/0407042}, urldate = {2013-03-05}, year = 2004 }