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- W1789812052 abstract "At finite temperature, chiral quark models do not incorporate large gauge invariance which implies genuinely non-perturbative finite temperature gluonic degrees of freedom. Motivated by this observation, we describe how the coupling of the Polyakov loop as an independent degree of freedom to quarks not only accounts for large gauge invariance, but also allows to establish in a dynamical way the interaction between composite hadronic states such as Goldstone bosons to finite temperature non-perturbative gluons in a medium which can undergo a confinementdeconfinement phase transition. 1 Large Gauge Transformations One feature of gauge theories like QCD at finite temperatures in the imaginary time formulation [1, 2, 3] is the non-perturbative manifestation of the non Abelian gauge symmetry. In the Polyakov gauge, where ∂4A4 = 0 and A4 is a diagonal and traceless Nc×Nc matrix, and Nc is the number of colors, there is still some freedom in choosing the gluon field. Let us consider for instance the periodic gauge transformation [4, 5] g(x4) = e i2πx4Λ/β , (1) where Λ is a color traceless diagonal matrix of integers. We call it a large gauge transformation (LGT) since it cannot be considered to be close to the identity. The gauge transformation on the A4 component of the gluon field is A4 → A4 + 2π β Λ . (2) Talk given by E.R.A. at the Miniworkshop on “Quark Dynamics”, Bled, Slovenia, 7-12 July-2004. email:emegias@ugr.es email:earriola@ugr.es email:salcedo@ugr.es Note that they are not large in the topological sense, as discussed in [4, 5]." @default.
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- W1789812052 date "2004-10-04" @default.
- W1789812052 modified "2023-09-27" @default.
- W1789812052 title "Polyakov loop at finite temperature in chiral quark models" @default.
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