Ambiguity in the evaluation of the effective action on the cone

Abstract

An ambiguity in the computation of the one-loop effective action for fields living on a cone is illustrated. It is shown that the ambiguity arises due to the non-commutativity of the regularization of ultraviolet and (conical) boundary divergencies.

REVTeX file, 10 pages. Comments on recent papers have been added

References in corpus (4)

• Thermal Fields, Entropy, and Black Holes
• Direct $\zeta$-function approach and renormalization of one-loop stress tensors in curved spacetimes
• Massive scalar field near a cosmic string
• Note on the point-splitting procedure to evaluate vacuum fluctuation in certain cylindrically symmetric backgrounds

Cited by in corpus (3)

• Entanglement entropy of black holes
• Vacuum Expectation Value of the Spinor Massive field in the Cosmic String Space-Time
• Is the Euclidean path integral always equal to the thermal partition function?