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

Guido Cognola·Sergio Zerbini
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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.

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Guido Cognola, Sergio Zerbini. 2004-01-19. Generalised zeta-function regularization for scalar one-loop effective action. https://doi.org/10.1142/9789812704030_0289

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