Transverse and longitudinal momentum spectra of fermions produced in strong SU(2) fields

TL;DR

This paper analyzes the momentum spectra of fermions produced in strong, time-dependent SU(2) fields, revealing similarities to Abelian cases and exploring scaling properties under various initial conditions.

Contribution

It introduces a kinetic model to calculate fermion spectra in non-Abelian SU(2) fields with different time dependencies, highlighting spectral behaviors and scaling properties.

Findings

Spectra exhibit exponential or polynomial high p_T behavior depending on time dependence.

Spectra are similar to Abelian case results.

Scaling properties are identified for both Abelian and SU(2) cases.

Abstract

We study the transverse and longitudinal momentum spectra of fermions produced in a strong, time-dependent non-Abelian SU(2) field. Different time-dependent field strengths are introduced. The momentum spectra are calculated for the produced fermion pairs in a kinetic model. The obtained spectra are similar to the Abelian case, and they display exponential or polynomial behaviour at high p_T, depending on the given time dependence. We investigated different color initial conditions and discuss the recognized scaling properties for both Abelian and SU(2) cases.