One loop light-cone QCD, effective action for reggeized gluons and QCD RFT calculus

TL;DR

This paper calculates one-loop corrections to the effective action for reggeized gluons in light-cone QCD, introduces a related RFT calculus, and verifies results through propagator calculations, advancing theoretical understanding of high-energy QCD interactions.

Contribution

It presents the first one-loop correction calculations for the effective action of reggeized gluons in light-cone gauge and proposes a new RFT calculus framework for these gluons.

Findings

One-loop corrections to the effective action are explicitly calculated.

The RFT calculus for reggeized gluons is formulated and discussed.

Propagators of reggeized gluon fields are verified to ensure correctness.

Abstract

The effective action for reggeized gluons is based on the gluodynamic Yang-Mills Lagrangian with external current for longitudinal gluons added, see [1]. On the base of classical solutions, obtained in [2], the one-loop corrections to this effective action in light-cone gauge are calculated. The RFT calculus for reggeized gluons similarly to the RFT introduced in [3] is proposed and discussed. The correctness of the results is verified by calculation of the propagator of $A_{+}$ and $A_{-}$ reggeized gluons fields and application of the obtained results is discussed as well.