Gauge invariance, background fields and modified Ward identities

Details Gauge invariance, background fields and modified Ward identities Gauge invariance, background fields and modified Ward identities

2001-01-16

arxiv.org/abs/hep-th/0101108v2

Int.J.Mod.Phys. A16 (2001) 2035-2040

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, to appear in the Proceedings of the 2nd Conference on the Exact Renormalization Group, Rome 2000

Scientific paper

10.1142/S0217751X01004669

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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