Regularization of functional determinants using boundary perturbations

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Published under licence by IOP Publishing Ltd
, , Citation A J McKane and M B Tarlie 1995 J. Phys. A: Math. Gen. 28 6931 DOI 10.1088/0305-4470/28/23/032

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1 Dept. of Theor. Phys., Manchester Univ., UK

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0305-4470/28/23/6931

Abstract

The formalism which has been developed to give general expressions for the determinants of differential operators is extended to the physically interesting situation where these operators have a zero mode which has been extracted. In the approach adopted here, this mode is removed by a novel regularization procedure, which allows remarkably simple expressions for these determinants to be derived.

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