On P_T-distribution of gluon production rate in constant chromoelectric field

TL;DR

This paper derives a comprehensive formula for the transverse momentum distribution of gluon production in a constant chromoelectric field, revealing a new delta function term consistent with QCD symmetries.

Contribution

It introduces a novel term in the p_T-distribution formula that aligns with dual symmetry and reproduces known total production rates.

Findings

Derived a complete p_T-distribution expression for gluon production

Identified a new delta function term in the distribution

Confirmed consistency with QCD dual symmetry

Abstract

A complete expression for the p_T-distribution of the gluon production rate in the homogeneous chromoelectric field has been obtained. Our result contains a new additional term proportional to the singular function \delta(p_T^2). We demonstrate that the presence of this term is consistent with the dual symmetry of QCD effective action and allows to reproduce the known result for the total imaginary part of the effective action after integration over transverse momentum.