Manifestly gauge invariant computations

Details Manifestly gauge invariant computations Manifestly gauge invariant computations

2002-07-16

arxiv.org/abs/hep-th/0207154v1

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, 11 figures, talk presented at the fifth international Conference "RG2002", Strba, Slovakia

Scientific paper

Using a gauge invariant exact renormalization group, we show how to compute the effective action, and extract the physics, whilst manifestly preserving gauge invariance at each and every step. As an example we give an elegant computation of the one-loop SU(N) Yang-Mills beta function, for the first time at finite N without any gauge fixing or ghosts. It is also completely independent of the details put in by hand, e.g. the choice of covariantisation and the cutoff profile, and, therefore, guides us to a procedure for streamlined calculations.

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