Feynman rules and β-function for the BF Yang-Mills theory

Yang-Mills theory in the first order formalism appears as the deformation of a topological field theory, the pure BF theory. We discuss this formulation at the quantum level, giving the Feynman rules of the BF-YM theory, the structure of the renormalization and checking its uv-behaviour in the compu...

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Bibliographic Details
Published in:Physics letters. B 1997-05, Vol.401 (1), p.62-68
Main Authors: Martellini, Maurizio, Zeni, Mauro
Format: Article
Language:English
Subjects:
Beta-function
Feynman rules
Topological BF theory
Yang-Mills
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Summary:Yang-Mills theory in the first order formalism appears as the deformation of a topological field theory, the pure BF theory. We discuss this formulation at the quantum level, giving the Feynman rules of the BF-YM theory, the structure of the renormalization and checking its uv-behaviour in the computation of the β-function which agrees with the expected result.
ISSN:0370-2693
1873-2445
DOI:10.1016/S0370-2693(97)00379-1