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We calculate the quark self-energy in a quark-gluon plasma that possesses anellipsoidal momentum-space anisotropy in the local rest frame. By introducingadditional transverse momentum anisotropy parameters into the partondistribution functions, we generalize previous results which were obtained forthe case of a spheroidal anisotropy. Our results demonstrate that the presenceof anisotropies in the transverse directions affects the real and imaginaryparts of quark self-energy and, consequently, the self-energy depends on boththe polar and azimuthal angles in the local rest frame of the matter. Ourresults for the quark self-energy set the stage for the calculation of theeffects of ellipsoidal momentum-space anisotropy on quark-gluon plasma photonspectra and collective flow.

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