Regularisation of functional determinants using boundary perturbations
A J McKane, M B Tarlie
TL;DR
This paper introduces a novel regularisation method for functional determinants of differential operators with zero modes, simplifying the calculation of these determinants in physically relevant scenarios.
Contribution
It extends existing formalism to handle zero modes via a new regularisation procedure, enabling simpler expressions for determinants.
Findings
New regularisation procedure for zero modes
Simplified expressions for functional determinants
Applicable to physically interesting differential operators
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 regularisation procedure, which allows remarkably simple expressions for these determinants to be derived.
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