Generalized Coordinate Gauge, Nonabelian Stokes Theorem and Dual QCD Lagrangian

TL;DR

This paper derives a dual QCD Lagrangian using a generalized coordinate gauge and provides a simple proof of the nonabelian Stokes theorem, advancing theoretical understanding of gauge theories.

Contribution

It introduces a generalized coordinate gauge framework to derive the dual QCD Lagrangian and offers a straightforward proof of the nonabelian Stokes theorem.

Findings

Derived dual QCD Lagrangian using generalized coordinate gauge

Provided a simple proof of the nonabelian Stokes theorem

Enhanced theoretical tools for gauge theory analysis

Abstract

This paper is an extended version of hep-th/9802134. Dual QCD Lagrangian is derived by making use of the generalized coordinate gauge, where 1-form (vector potential) is expressed as an integral of the 2-form (field strength) along an (arbitrary) contour. As another application a simple proof of the nonabelian Stokes theorem is given.