paper

Generalised zeta-function regularization for scalar one-loop effective action

arXiv:hep-th/0401123 · doi:10.1142/9789812704030_0289

Abstract

The one-loop effective action for a scalar field defined in the ultrastatic space-time where non standard logarithmic terms in the asymptotic heat-kernel expansion are present, is investigated by a generalisation of zeta-function regularisation. It is shown that additional divergences may appear at one-loop level. The one-loop renormalisability of the model is discussed and the one-loop renormalisation group equations are derived.

3 pages, contribution to MG10, Rio de Janeiro

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