Ambiguity in the evaluation of the effective action on the cone
D. Iellici, E.S. Moreira Jr
TL;DR
This paper discusses an ambiguity in calculating the one-loop effective action on a cone, caused by non-commuting regularization procedures for boundary and ultraviolet divergences.
Contribution
It identifies the source of ambiguity in the effective action computation on conical geometries due to regularization non-commutativity.
Findings
Ambiguity arises from non-commuting regularizations.
Regularization of boundary and UV divergences do not commute.
The ambiguity affects the evaluation of the effective action.
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.
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