Abstract
We calculate the production of dileptons and photons in the presence of a nontrivial Polyakov loop in QCD. This is applicable to the semi-Quark Gluon Plasma (QGP), at temperatures above but near the critical temperature for deconfinement. The Polyakov loop is small in the semi-QGP, and near unity in the perturbative QGP. Working to leading order in the coupling constant of QCD, we find that there is a mild enhancement, ∼ 20%, for dilepton production in the semi-QGP over that in the perturbative QGP. In contrast, we find that photon production is strongly suppressed in the semi-QGP, by about an order of magnitude, relative to the perturbative QGP. In the perturbative QGP photon production contains contributions from 2 → 2 scattering and collinear emission with the Landau-Pomeranchuk-Migdal (LPM) effect. In the semi-QGP we show that the two contributions are modified differently. The rate for 2 → 2 scattering is suppressed by a factor which depends upon the Polyakov loop. In contrast, in an SU(N ) gauge theory the collinear rate is suppressed by 1/N , so that the LPM effect vanishes at N = ∞. To leading order in the semi-QGP at large N , we compute the rate from 2 → 2 scattering to the leading logarithmic order and the collinear rate to leading order.
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Hidaka, Y., Lin, S., Pisarski, R.D. et al. Dilepton and photon production in the presence of a nontrivial Polyakov loop. J. High Energ. Phys. 2015, 5 (2015). https://doi.org/10.1007/JHEP10(2015)005
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DOI: https://doi.org/10.1007/JHEP10(2015)005