Quark self-energy in an ellipsoidally anisotropic quark-gluon plasma

TL;DR

This paper calculates the quark self-energy in an ellipsoidally anisotropic quark-gluon plasma, revealing how transverse momentum anisotropies influence quark properties and potentially affect observable phenomena like photon spectra and flow.

Contribution

It generalizes previous spheroidal anisotropy models by including transverse anisotropy parameters, providing a more comprehensive understanding of quark self-energy in anisotropic plasmas.

Findings

Quark self-energy depends on both polar and azimuthal angles.

Transverse anisotropies affect the real and imaginary parts of self-energy.

Results enable future studies of photon spectra and collective flow effects.

Abstract

We calculate the quark self-energy in a quark-gluon plasma that possesses an ellipsoidal momentum-space anisotropy in the local rest frame. By introducing additional transverse momentum anisotropy parameters into the parton distribution functions, we generalize previous results which were obtained for the case of a spheroidal anisotropy. Our results demonstrate that the presence of anisotropies in the transverse directions affects the real and imaginary parts of quark self-energy and, consequently, the self-energy depends on both the polar and azimuthal angles in the local rest frame of the matter. Our results for the quark self-energy set the stage for the calculation of the effects of ellipsoidal momentum-space anisotropy on quark-gluon plasma photon spectra and collective flow.