Lattice constraints on the thermal photon rate

Ghiglieri, Jacopo; Kaczmarek, O.; Laine, Mikko Sakari; Meyer, F. (2016). Lattice constraints on the thermal photon rate. Physical review. D - particles, fields, gravitation, and cosmology, 94(1), 016005. American Physical Society 10.1103/PhysRevD.94.016005

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We estimate the photon production rate from an SU(3) plasma at temperatures of about 1.1Tc and 1.3Tc. Lattice results for the vector current correlator at spatial momenta k∼(2−6)T are extrapolated to the continuum limit and analyzed with the help of a polynomial interpolation for the corresponding spectral function, which vanishes at zero frequency and matches to high-precision perturbative results at large invariant masses. For small invariant masses the interpolation is compared with the next-to-leading-order (NLO) weak-coupling result, hydrodynamics, and a holographic model. At vanishing invariant mass we extract the photon rate which for k≳3T is found to be close to the NLO weak-coupling prediction. For k≲2T uncertainties remain large but the photon rate is likely to fall below the NLO prediction, in accordance with the onset of a strongly interacting behavior characteristic of the hydrodynamic regime.

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