Regularisation of functional determinants using boundary perturbations

Physics – Condensed Matter

Scientific paper

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Scientific paper

10.1088/0305-4470/28/23/032

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 regularisation procedure, which allows remarkably simple expressions for these determinants to be derived.

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