Cancellation of energy-divergences and renormalizability in Coulomb gauge QCD within the Lagrangian formalism

TL;DR

This paper proves that energy divergences in Coulomb gauge QCD cancel out at all perturbation orders, ensuring the theory remains renormalizable within the Lagrangian formalism.

Contribution

It provides a rigorous proof of energy divergence cancellation in Coulomb gauge QCD without compromising algebraic renormalizability.

Findings

Energy divergences cancel at all orders in perturbation theory.

Renormalizability of Coulomb gauge QCD is preserved.

The proof is conducted within the Lagrangian formalism.

Abstract

In Coulomb gauge QCD in the Lagrangian formalism, energy divergences arise in individual diagrams. We give a proof on cancellation of these divergences to all orders of perturbation theory without obstructing the algebraic renormalizability of the theory.