Abstract
We develop a method to obtain fermion spectral functions non-perturbatively in a non-Abelian gauge theory with high occupation numbers of gauge fields. After recovering the free field case, we extract the spectral function of fermions in a highly occupied non-Abelian plasma close to its non-thermal fixed point, i.e., in a self-similar regime of the non-equilibrium dynamics. We find good agreement with hard loop perturbation theory for medium-induced masses, dispersion relations and quasiparticle residues. We also extract the full momentum dependence of the damping rate of the collective excitations.
Highlights
Strong color fields play an important part in the physics of ultrarelativistic heavy ion collisions and the early universe
We develop a method to obtain fermion spectral functions non-perturbatively in a non-Abelian gauge theory with high occupation numbers of gauge fields
We have studied the behavior of the quark spectral function at a fixed reference time Qt = 1500, in the self-similar evolution of a highly occupied gluon plasma
Summary
Strong color fields play an important part in the physics of ultrarelativistic heavy ion collisions and the early universe. Our classical-statistical method is similar to the ones used to extract spectral functions in scalar theories both far from equilibrium [22, 23] and for a thermal system [24,25,26], and can be applied to study the dynamics of fermionic excitations in the presence of scalar or abelian gauge fields. We will compute the spectral function in momentum space, in both the time and frequency domains From this spectral function we can extract medium-induced masses, dispersion relations and quasiparticle residues for the different spinor structures of the spectral function. The HTL formulas for the spectral function from the literature are provided in Appendix A
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