Polyakov loop at next-to-next-to-leading order

Abstract

We calculate the next-to-next-to-leading correction to the expectation value of the Polyakov loop or equivalently to the free energy of a static charge. This correction is of order g 5 . We show that up to this order the free energy of the static charge is proportional to the quadratic Casimir operator of the corresponding representation. We also compare our perturbative result with the most recent lattice results in SU(3) gauge theory.

Quark masses and strong coupling constant in2+1flavor QCD

“…If we use this definition, we obtain R 6 = 1.520(4), R 8 = 1.367 (8) and R 10 = 1.302 (8), which agree well with the results of Ref. [17]: R 6 = 1.527(4), R 8 = 1.373(3) and R 10 = 1.304(2), as well as with the results of Ref.…”

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Poincaré invariance in low-energy EFTs for QCD

“…For an interacting case, the boost transformation of the field with regard to symmetries under charge, parity and time reversal, (C, P, T in short), as well as spatial rotations, are given by (up to a cubic order in 1/M) [16] …”

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Single quark entropy and the Polyakov loop

“…9, where the M S scheme was used. The lattice results, however, are defined in a scheme, where a fixed value is imposed on the static energy at some given distance, cf.…”