The force-force-correlator in hot QCD perturbatively and from the lattice

Abstract

High-energy particles traversing a medium experience modified dispersion. In the Quark-Gluon Plasma, such dispersion affects jet propagation and transport properties and should be determined better. Above $\sim 2T_c$ we expect strongly coupled infrared behavior and perturbative ultraviolet behavior, allowing a perturbative matching to an effective theory called EQCD, which can be studied non-perturbatively. We study the relevant non-local operator in EQCD at next-to-leading order which allows for a complete EQCD-to-lattice match and prepares the groundwork for a matching between EQCD and full QCD. Our results in EQCD show remarkable agreement between perturbation theory and the lattice in the expected regime.

34 pages, 3 figures, 4 tables. Updates of (i) the NLO perturbative result in eq. (4.12), (ii) the numerical integration in eq. (5.2), (iii) numerical values in tabs. 1 and 3, and (iv) figures. Conclusions unchanged

References in corpus (7)

• Three-dimensional physics and the pressure of hot QCD
• Z(3)-symmetric effective theory for SU(3) Yang-Mills theory at high temperature
• A QCD Debye mass in a broad temperature range
• On supersymmetry at finite temperature
• Transverse momentum broadening from the lattice
• The nonperturbative contribution to asymptotic masses
• The force-force-correlator in hot QCD perturbatively and from the lattice

Cited by in corpus (6)

• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
• Classical vs quantum corrections to jet broadening in a weakly-coupled Quark-Gluon Plasma
• The force-force-correlator in hot QCD perturbatively and from the lattice
• Bubble Trouble: a Review on Electroweak Baryogenesis
• Transport properties of the QCD medium
• Hard thermal contributions to phase transition observables at NNLO