Real and imaginary-time QQ¯ correlators in a thermal medium

By A. Beraudo, J. Blaizot, C. Ratti. 2007

221 citations recorded by the source corpus.

Abstract We investigate the behavior of a pair of heavy fermions, denoted by Q and Q ¯ , in a hot/dense medium. Although we have in mind the situation where Q and Q ¯ denote heavy quarks, our treatment will be limited to simplified models, which bear only some general similarities with QCD. We study in particular the limiting case where the mass of the heavy fermions is infinite. Then a number of results can be derived exactly: a Schrodinger equation can be established for the correlator of the heavy quarks; the interaction effects exponentiate, leading to a simple instantaneous effective potential for this Schrodinger equation. We consider simple models for the medium in which the Q Q ¯ pair propagates. In the case where the medium is a plasma of photons and light charged fermions, an imaginary part develops in this effective potential. We discuss the physical interpretation of this imaginary part in terms of the collisions between the heavy particles and the light fermions of the medium; the same collisions also determine the damping rate of the heavy fermions. Finally we study the connection between the real-time propagator of the heavy fermion pair and its Euclidean counterpart, and show that the real part of the potential entering the Schrodinger equation for the real-time propagator is the free energy calculated in the imaginary-time formalism.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/9cd43318b97c9863cec2fd6604354cd2bfb7da13

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Citations in the corpus

Gauge/String Duality, Hot QCD and Heavy Ion Collisions (2011, background): “potential agrees with the singlet free energy [250]; however this is not the case in general.”
Heavy quarkonium in extreme conditions (2019, background): “Let us have a look at the explicit form of the S-wave and P-wave quarkonium correlators in the non-interacting theory [41].”