Consistency of the Hybrid Regularization with Higher Covariant Derivative and Infinitely Many Pauli-Villars

We study the regularization and renormalization of the Yang-Mills theory in the framework of the manifestly invariant formalism, which consists of a higher covariant derivative with an infinitely many Pauli-Villars fields. Unphysical logarithmic divergence, which is the problematic point on the Slav...

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Bibliographic Details
Published in:arXiv.org 2001-05
Main Author: Koh-ichi Nittoh
Format: Article
Language:English
Subjects:
Divergence
Mathematical analysis
Regularization
Supersymmetry
Tensors
Yang-Mills theory
Online Access:Get full text
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Summary:We study the regularization and renormalization of the Yang-Mills theory in the framework of the manifestly invariant formalism, which consists of a higher covariant derivative with an infinitely many Pauli-Villars fields. Unphysical logarithmic divergence, which is the problematic point on the Slavnov's method, does not appear in our scheme, and the well-known vale of the renormalization group functions are derived. The cancellation mechanism of the quadratic divergence is also demonstrated by calculating the vacuum polarization tensor of the order of \(\Lambda^0\) and \(\Lambda^{-4}\). These results are the evidence that our method is valid for intrinsically divergent theories and is expected to be available for the theory which contains the quantity depending on the space-time dimensions, like supersymmetric gauge theories.
ISSN:2331-8422
DOI:10.48550/arxiv.0012043