Truncated Heat Kernel and One-Loop Determinants for the BTZ Geometry
A. A. Bytsenko (DF/Uel), M. E. X. Guimaraes (IF/Uff)
TL;DR
This paper explores the connection between the spectrum, truncated heat kernel, and Patterson-Selberg zeta function of the Euclidean BTZ black hole, enabling calculation of quantum fluctuation corrections.
Contribution
It introduces a novel relation between the spectrum and truncated heat kernel for the BTZ geometry and computes quantum corrections using an orbifold approach.
Findings
Derived a relation between spectrum and heat kernel for BTZ
Calculated on-shell quantum corrections for gravitational fluctuations
Established a link with Patterson-Selberg zeta function
Abstract
There is a special relation between the spectrum and the {\it truncated} heat kernel of the Euclidean BTZ black hole with the Patterson-Selberg zeta function. Using an orbifold description of this relation we calculate the on-shell corrections of the gravitational quantum fluctuations.
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