Calculation of the multiplicative anomaly
High Energy Physics - Theory
2023-09-26 v3 Mathematical Physics
Analysis of PDEs
Functional Analysis
math.MP
Spectral Theory
Abstract
The functional determinant multiplicative anomaly, or defect, is more closely investigated and explicit forms for products of linear operators are produced. I also present formulae for the defect of products of second order operators in terms of that for just two of the factors and discuss the specific cases of the sphere and hemisphere. The difference of Neumann and Dirichlet quantities on the hemisphere is equal to that for spin-1/2 on the rim. This is proved generally.
Cite
@article{arxiv.1412.0549,
title = {Calculation of the multiplicative anomaly},
author = {J. S. Dowker},
journal= {arXiv preprint arXiv:1412.0549},
year = {2023}
}
Comments
16 pages, 2 figures. Underlying sign error corrected and note added, plus extra comments and one reference. Graphs redrawn