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Off-equilibrium photon production during the chiral phase transition
Authors:Frank Michler  Hendrik van Hees  Dennis D. Dietrich  Stefan Leupold  Carsten Greiner
Affiliation:1. Institut für Theoretische Physik, Goethe-Universität Frankfurt, Max-von-Laue-Straße 1, D-60438 Frankfurt, Germany;2. Frankfurt Institute for Advanced Studies (FIAS), Ruth-Moufang-Straße 1, D-60438 Frankfurt, Germany;3. Institutionen för fysik och astronomi, Uppsala Universitet, Box 516, 75120 Uppsala, Sweden
Abstract:In the early stage of ultrarelativistic heavy-ion collisions chiral symmetry is restored temporarily. During this so-called chiral phase transition, the quark masses change from their constituent to their bare values. This mass shift leads to the spontaneous non-perturbative creation of quark–antiquark pairs, which effectively contributes to the formation of the quark–gluon plasma. We investigate the photon production induced by this creation process. We provide an approach that eliminates possible unphysical contributions from the vacuum polarization and renders the resulting photon spectra integrable in the ultraviolet domain. The off-equilibrium photon numbers are of quadratic order in the perturbative coupling constants while a thermal production is only of quartic order. Quantitatively, we find, however, that for the most physical mass-shift scenarios and for photon momenta larger than 1 GeV the off-equilibrium processes contribute less photons than the thermal processes.
Keywords:Heavy-ion collision   Chiral phase transition   Non-equilibrium quantum field theory   First-order photon production
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