Finite temperature sum rules in the vector channel at finite momentum

Abstract

Exact sum rules for the longitudinal and transverse part of the vector channel spectral functions at nonzero momentum are derived in the first part of the paper. The sum rules are formulated for the finite temperature spectral functions, from which the vacuum component has been subtracted, and represent a generalization of previous work in which sum rules were derived only for the zero-momentum limit. In the second part of the paper, we demonstrate how the sum rules can be used as constraints in spectral fits to lattice data at various temperatures, with the latest dynamical lattice QCD data at zero momentum.

21 pages, 10 figures; published version

References in corpus (11)

• The equation of state in (2+1)-flavor QCD
• Spectral functions at small energies and the electrical conductivity in hot, quenched lattice QCD
• Photon and dilepton production in supersymmetric Yang-Mills plasma
• Novel quantum phenomena induced by strong magnetic fields in heavy-ion collisions
• Spectral sum rules for the quark-gluon plasma
• Production and Elliptic Flow of Dileptons and Photons in the semi-Quark Gluon Plasma
• Mass Shift and Width Broadening of J/psi in hot gluonic plasma from QCD Sum Rules
• Constraining the strangeness content of the nucleon by measuring the $\varphi$ meson mass shift in nuclear matter
• Thermal modification of bottomonium spectra from QCD sum rules with the maximum entropy method
• Chiral Magnetic Effect at Weak Coupling with Relaxation Dynamics
• Vector meson spectral function and dilepton production rate in a hot and dense medium within an effective QCD approach