Proper heavy-quark potential from a spectral decomposition of the thermal Wilson loop

A. Rothkopf, T. Hatsuda, S. Sasaki

研究成果: Conference article査読

4 被引用数 (Scopus)

抄録

We propose a non-perturbative and gauge invariant derivation of the static potential between a heavy-quark (Q) and an anti-quark ( Q) at finite temperature. This proper potential is defined through the spectral function (SPF) of the thermal Wilson loop and can be shown to satisfy the Schrödinger equation for the heavy Q Q pair in the thermal medium. In general, the proper potential has a real and an imaginary part, corresponding to the peak position and width of the SPF. The validity of using a Schrödinger equation for heavy Q Q can also be checked from the structure of the SPF. To test this idea, quenchedQCD simulations on anisotropic lattices (a-=4a-=0.039fm, N3-×N-= 202×(96-32)) are performed. The real part of the proper potential below the deconfinement temperature (T =0.78Tc) exhibits the well known Coulombic and confining behavior. At (T = 2.33Tc) we find that it coincides with the Debye screened potential obtained from Polyakovline correlations in the color-singlet channel under Coulomb gauge fixing. The physical meaning of the spectral structure of the thermal Wilson loop and the use of the maximum entropy method (MEM) to extract the real and imaginary part of the proper potential are also discussed.

本文言語English
ジャーナルProceedings of Science
91
出版ステータスPublished - 2009
外部発表はい
イベント27th International Symposium on Lattice Field Theory, LAT 2009 - Beijing, China
継続期間: 2009 7月 262009 7月 31

ASJC Scopus subject areas

  • 一般

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