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According to the dynamical quasiparticle model (DQPM) - matched to reproducelattice QCD results in thermodynamic limit, - the constituents of the stronglyinteracting quark-gluon plasma (sQGP) are massive and off-shell quasi-particles(quarks and gluons) with broad spectral functions. In order to address theelectromagnetic radiation of the sQGP, we derive off-shell cross sections ofq+qbar->gamma*, q+qbar->gamma*+glue and q+glue->gamma*+q(qbar+glue->gamma*qbar)reactions taking into account the effective propagators for quarks and gluonsfrom the DQPM. Dilepton production in In+In collisions at 158 AGeV is studiedby implementing these processes into the parton-hadron-string dynamics (PHSD)transport approach. The microscopic PHSD transport approach describes the fullevolution of the heavy-ion collision: from the dynamics of quasi-particles inthe sQGP phase (when the local energy density is above ~1 GeV/fm^3) throughhadronization and to the following hadron interactions and off-shellpropagation after the hadronization. A comparison to the data of the NA60Collaboration shows that the low mass dilepton spectra are well described byincluding a collisional broadening of vector mesons, while the spectra in theintermediate mass range are dominated by off-shell quark-antiquarkannihilation, quark Bremsstrahlung and gluon-Compton scattering in thenonperturbative QGP. In particular, the observed softening of the mT spectra atintermediate masses (1 GeV < M < 3 GeV) is approximately reproduced.

Dilepton radiation by vector mesons and off-shell partons in the hot and dense medium