Covariant background field calculation of ultraviolet counterterms

Details Covariant background field calculation of ultraviolet counterterms Covariant background field calculation of ultraviolet counterterms

1996-05-28

arxiv.org/abs/hep-th/9605198v1

Z.Phys. C74 (1997) 185-190

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, latex, 5 eps figures

Scientific paper

Based on the covariant background field method, we calculate the ultraviolet counter\-terms up to two-loop order and discuss the renormalizability of the three-dimensional non-linear sigma models with arbitrary Riemannian manifolds as target spaces. We investigate the bosonic model and its supersymmetric extension. We show that at the one-loop level these models are renormalizable and even finite when the manifolds are Ricci-flat. However, at the two-loop order, we find non-renormalizable counterterms in all cases considered, so the renormalizability and finiteness of such models are completely lost in this order.

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