Abstract
We develop a formalism for the photon emission from the quark-gluon plasma with an external electromagnetic field. We then use it to investigate the effect of magnetic field on the photon emission from the quark-gluon plasma created in $AA$ collisions. We find that even for very optimistic assumption on the magnitude of the magnetic field generated in $AA$ collisions its effect on the photon emission rate is practically negligible. For this reason the magnetic field cannot generate a significant azimuthal asymmetry in the photon spectrum.
Highlights
There is a variety of experimental data on hadronic observables in A A collisions at RHIC and LHC that show that hadron production in high energy A A collisions goes via formation of a hot quark–gluon plasma (QGP) fireball
We develop a formalism for the photon emission from the quark–gluon plasma with an external electromagnetic field
The major arguments in favor of the QGP formation at RHIC and LHC are the observation of a strong suppression of high- pT particle spectra and the success of the hydrodynamical models in describing the flow effects in hadron production in A A collisions
Summary
There is a variety of experimental data on hadronic observables in A A collisions at RHIC and LHC that show that hadron production in high energy A A collisions goes via formation of a hot quark–gluon plasma (QGP) fireball. [24] it was argued that the observed photon asymmetry may be due to an intensive bremsstrahlung like synchrotron radiation resulting from the interaction of escaping quarks with the collective confining color field at the surface of the QGP Since the magnetic field in the noncentral A A collisions is mostly perpendicular to the reaction plane (this direction corresponds to y axis, if x axis is directed along the impact parameter of the A A collision as shown in Fig. 1) the synchrotron radiation rate is largest in the direction along of the impact parameter vector For this reason the synchrotron mechanism leads naturally to a strong azimuthal asymmetry of the photon emission. Some of our results concerning the photon emission rate from the QGP at rest have been reported in an earlier short communication [33]
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