Gauge invariance, background fields and modified Ward identities

In this talk the gauge symmetry for Wilsonian flows in pure Yang-Mills theories is discussed. The background field formalism is used for the construction of a gauge invariant effective action. The symmetries of the effective action under gauge transformations for both the gauge field and the auxilia...

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Bibliographic Details
Main Authors: Freire, Filipe (Author) , Litim, Daniel F. (Author) , Pawlowski, Jan M. (Author)
Format: Article (Journal) Chapter/Article
Language:English
Published: 2001
In: Arxiv

Online Access:Verlag, kostenfrei, Volltext: http://arxiv.org/abs/hep-th/0101108
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Author Notes:F. Freire, School of Theoretical Physics, Dublin Institute for Advanced Studies, 10 Burlington Road, Dublin 4, Ireland; D.F. Litim, Theory Division, CERN, CH-1211 Geneva 23, Switzerland; J.M. Pawlowski, Institut für Theoretische Physik III, Universität Erlangen-Nürnberg, Staudtstraße 7, D-91058 Erlangen, Germany
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Summary:In this talk the gauge symmetry for Wilsonian flows in pure Yang-Mills theories is discussed. The background field formalism is used for the construction of a gauge invariant effective action. The symmetries of the effective action under gauge transformations for both the gauge field and the auxiliary background field are separately evaluated. Modified Ward-Takahashi and background field identities are used in my study. Finally it is shown how the symmetry properties of the full theory are restored in the limit where the cut-off is removed.
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