The contour gauge in use: telling untold

TL;DR

This paper explores the non-local contour gauge in Quantum Field Theory, highlighting its advantages over local gauges by addressing residual gauge issues and connecting it with Hamiltonian formalism.

Contribution

It introduces the contour gauge as a non-local extension of axial gauges, demonstrating its benefits and relation to Hamiltonian formalism in QFT.

Findings

Contour gauge avoids residual gauge problems.

It establishes a correspondence with Hamiltonian formalism.

Advantages over local gauges are demonstrated.

Abstract

In Quantum Field Theory, we discuss the main features of the (non-local) contour gauge which extends the local axial-type gauge used in most approaches. Based on the gluon geometry, we demonstrate that the contour gauge does not suffer from the residual gauge. We discuss the useful correspondence between the contour gauge conception and the Hamiltonian (Lagrangian) formalism. Having compared the local and non-local gauges, we again advocate the advantage of the contour gauge use.