On the renormalisability of gauge invariant extensions of the squared gauge potential

Details On the renormalisability of gauge invariant extensions of the squared gauge potential On the renormalisability of gauge invariant extensions of the squared gauge potential

2004-01-09

arxiv.org/abs/hep-th/0401055v2

Phys.Lett. B593 (2004) 287-295

Physics

High Energy Physics

High Energy Physics - Theory

1+13 pages. Revised version. New title and abstract. Extended introduction and several sentences have been inserted. Final ver

Scientific paper

10.1016/j.physletb.2004.04.046

We show that gauge invariant extensions of the local functional $\cO = \frac12\int d^4x A^2$ have long range non localities which can only be ``renormalised'' with reference to a specific gauge. Consequently, there is no gauge independent way of claiming the perturbative renormalisability of these extensions. In particular, they are not renormalisable in the modern sense of Weinberg and Gomis. Critically, our study does not support the view that ghost fields play an indispensable role in the extension of a local operator into a non-local one as claimed recently in the literature.

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