The Faddeev-Popov term reviewed
D. E. Jaramillo(1,2), J. H. Munoz(1,3), A. Zepeda(1) ((1), CINVESTAV-IPN, Mexico; (2) U. Antioquia, Colombia; (3) U. del Tolima,, Colombia)
TL;DR
This paper reviews the gauge invariance of the Jacobian in the Faddeev-Popov method for quantizing non-Abelian gauge theories, clarifying conflicting claims in existing literature.
Contribution
It provides a detailed discussion resolving the debate on whether the Faddeev-Popov Jacobian is gauge invariant or not.
Findings
The Jacobian is not gauge invariant, contrary to some claims.
Clarifies misconceptions in textbooks and reports.
Provides a rigorous analysis of the gauge dependence of the Jacobian.
Abstract
Some textbooks and reports claim that the Jacobian which arises in the discussion of the Faddeev-Popov method to quantize non-Abelian gauge theories and which is given by the derivative of the gauge fixing conditions over the gauge group parameters, is gauge invariant. Other references however prove the opposite. In this brief report we present a discussion about this matter.
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Taxonomy
TopicsComputational Physics and Python Applications