Imaginary mass lens space determinants
High Energy Physics - Theory
2014-04-15 v1
Abstract
Functional determinants for a single scalar field with negative mass squared are evaluated on homogeneous lens spaces. For example, on even order spaces, the Hartle--Hawking wave function oscillates about its zeros with increasing amplitude as the (imaginary) mass increases. I also present results for the binary tetrahedral, octahedral and icosahedral factors of the three--sphere. The final answer is given as a quadrature and some graphs are drawn. In the technical evaluation of the infinite sums, the explicit form of the degeneracies is not needed.
Cite
@article{arxiv.1404.3495,
title = {Imaginary mass lens space determinants},
author = {J. S. Dowker},
journal= {arXiv preprint arXiv:1404.3495},
year = {2014}
}
Comments
9 pages. 4 figures