Renormalization in spherical field theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages, 5 figures

Scientific paper

10.1016/S0370-2693(99)00746-7

We derive several results concerning non-perturbative renormalization in the
spherical field formalism. Using a small set of local counterterms, we are able
to remove all ultraviolet divergences in a manner such that the renormalized
theory is finite and translationally invariant. As an explicit example we
consider massless phi^4 theory in four dimensions.

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