2026-06-28T15:18:46Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/590132024-08-30T14:25:58Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Ruiz Ruiz, Fernando
author
León, J.H.
author
Martín, C.P.
2023-06-20T18:57:58Z
2023-06-20T18:57:58Z
1995-08-03
0370-2693
10.1016/0370-2693(95)00757-C
https://hdl.handle.net/20.500.14352/59013
http://dx.doi.org/10.1016/0370-2693(95)00757-C
http://arxiv.org/abs/hep-ph/9507443http://www.sciencedirect.com
We regularize QCD using the combination of higher covariant derivatives and Pauli-Villars determinants proposed by Slavnov. It is known that for pure Yang-Mills theory the Pauli-Villars determinants generate unphysical logarithmic radiative corrections at one loop that modify the beta function. Here we prove that when the gauge fields are coupled to fermions so that one has QCD, these unphysical corrections translate into a violation of unitarity. We provide an understanding of this by showing that Slavnov's choice for the Pauli-Villars determinants introduces extra propagating degrees of freedom that are responsible for the unitarity breaking. This shows that Slavnov's regularization violates unitarity, hence that it should be rejected.
eng
Unitarity Violation in non-Abelian Pauli-Villars Regularization
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Ruiz FR17.pdf
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Ruiz FR17preprint.pdf
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Ruiz FR17.pdf.txt