Real-time static potential in hot QCD

By M. Laine, Owe Philipsen, M. Tassler, Paul Romatschke. 2006

407 citations recorded by the source corpus.

We derive a static potential for a heavy quark- antiquark pair propagating in Minkowski time at finite temperature, by defining a suitable gauge-invariant Green's function and computing it to first non-trivial order in Hard Thermal Loop resummed perturbation theory. The resulting Debye- screened potential could be used in models that attempt to describe the "melting" of heavy quarkonium at high temperatures. We show, in particular, that the potential develops an imaginary part, implying that thermal e effects ects generate a finite width for the quarkonium peak in the dilepton production rate. For quarkonium with a very heavy constituent mass M, the width can be ignored for T <= g(2)M/12 pi, where g2 is the strong gauge coupling; for a physical case like bottomonium, it could become important at temperatures as low as 250 MeV. Finally, we point out that the physics related to the finite width originates from the Landau-damping of low-frequency gauge fields, and could be studied non-perturbatively by making use of the classical approximation.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/1631fde329b1cab1ad9cdb3bf5c08e9d1370c04a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Nuclear and High Energy Physics

Citations in the corpus

Heavy quarkonium in extreme conditions (2019, background): “It had been already understood in [156] that in this scale hierarchy Im[V (0) S,HTL] arises from the phenomenon of Landau damping, which corresponds to the low-frequency gluon mediating the binding between the heavy quarks loosing energy to a medium parton with a higher energy∼ T .”
Three-loop HTLpt thermodynamics at finite temperature and chemical potential (2014, methodology): “Quantities such as the dilepton production rate [96, 97], photon production rate [98], single quark and quark anti-quark potentials [99–107], fermion damping rate [108–110], photon damping rate [111], gluon damping rate [112, 113], jet energy loss [114–125], plasma instabilities [126–132], thermal a”
Gauge/String Duality, Hot QCD and Heavy Ion Collisions (2011, background): “25) and, what is more, the in-medium potential develops an imaginary part which can be interpreted as the collisional width of the state in the plasma [249].”
Holographic meson melting (2006, background): “It is quite interesting that very recently meson melting has been considered in a real time approach in Hard Thermal Loop resummed perturbation theory [42].”
Thermal bottomonium suppression at RHIC and LHC (2011, background): “In the limit that the plasma is isotropic, the real part of the potentials used here reduces to the potential originally introduced by Karsch, Mehr, and Satz (KMS) [9] with or without an additional entropy contribution [42] and the imaginary part reduces to the result originally obtained by Laine et”
Transport properties of the quark-gluon plasma (2011, methodology): “at the spectral function, ρ(ω) = 1 π ImGR(ω). (268) 36 Harvey B. Meyer: Transport Properties of the Quark-Gluon Plasma Examples of spectral function calculations performed in this way can be found in [178,31,64,65]. The uniqueness of the solution is guaranteed by the Carlson theorem. This theorem of”