Functional determinants and effective actions:Corrigenda
J.S.Dowker, J.S.Apps
TL;DR
This paper corrects previous calculation errors related to the effective action and functional determinants on spherical caps, and amends formulas for Weyl rescaling effects in three dimensions.
Contribution
It provides corrected formulas and clarifications for effective actions and functional determinants on spherical geometries, improving the accuracy of prior results.
Findings
Corrected expressions for the effective action on spherical caps.
Amended formula for Weyl rescaling in three dimensions.
Clarified the impact of these corrections on related calculations.
Abstract
Some calculational errors in expressions derived previously by the first author for the effective action, or equivalently for the functional determinant, on sectors of a spherical cap are corrected. The formula for the change in the effective action under Weyl rescalings in the three dimensional case is also amended.
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Taxonomy
TopicsChemistry and Stereochemistry Studies · Point processes and geometric inequalities · Characterization and Applications of Magnetic Nanoparticles