Current Algebra in the Path Integral framework
V. Cardenas, S. Lepe, J. Saavedra (USACH)
TL;DR
This paper presents a path integral approach to current algebra in quantum field theories, demonstrating regularization independence in 1+1 and 2+1 dimensions for both abelian and non-abelian cases.
Contribution
It introduces a novel path integral method for deriving current algebra expressions, ensuring regularization independence across different dimensions and gauge groups.
Findings
Correct current algebra expressions obtained
Regularization independence demonstrated
Applicable to both abelian and non-abelian theories
Abstract
In this letter we describe an approach to the current algebra based in the Path Integral formalism. We use this method for abelian and non-abelian quantum field theories in 1+1 and 2+1 dimensions and the correct expressions are obtained. Our results show the independence of the regularization of the current algebras.
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