Thermal dilepton rate and electrical conductivity: An analysis of vector current correlation functions in quenched lattice QCD

Journal Article · Tue Feb 01 00:00:00 EST 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.034504· OSTI ID:21504900

Ding, H -T; Karsch, F ^[1]; Francis, A; Kaczmarek, O; Laermann, E; Soeldner, W ^[1]

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1. Fakultaet fuer Physik, Universitaet Bielefeld, D-33615 Bielefeld (Germany)

We calculate the vector current correlation function for light valence quarks in the deconfined phase of QCD. The calculations have been performed in quenched lattice QCD at T{approx_equal}1.45T{sub c} for four values of the lattice cutoff on lattices up to size 128{sup 3}x48. This allows us to perform a continuum extrapolation of the correlation function in the Euclidean time interval 0.2{<=}{tau}T{<=}0.5, which extends to the largest temporal separations possible at finite temperature, to better than 1% accuracy. In this interval, at the value of the temperature investigated, we find that the vector correlation function never deviates from the free correlator for massless quarks by more than 9%. We also determine the first two nonvanishing thermal moments of the vector meson spectral function. The second thermal moment deviates by less than 7% from the free value. With these constraints, we then proceed to extract information on the spectral representation of the vector correlator and discuss resulting consequences for the electrical conductivity and the thermal dilepton rate in the plasma phase.

• OSTI ID: 21504900
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 3; Other Information: DOI: 10.1103/PhysRevD.83.034504; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ACCURACY
COMPUTERIZED SIMULATION
CORRELATION FUNCTIONS
ELECTRIC CONDUCTIVITY
EUCLIDEAN SPACE
EXTRAPOLATION
PLASMA
QUANTUM CHROMODYNAMICS
QUARKS
SPECTRAL FUNCTIONS
VECTOR CURRENTS
VECTOR MESONS
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ELECTRICAL PROPERTIES
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
FUNCTIONS
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NUMERICAL SOLUTION
PHYSICAL PROPERTIES
QUANTUM FIELD THEORY
RIEMANN SPACE
SIMULATION
SPACE