The European Physical Journal C

, Volume 58, Issue 3, pp 511–516

Truncated heat kernel and one-loop determinants for the BTZ geometry

Regular Article - Theoretical Physics

DOI: 10.1140/epjc/s10052-008-0743-y

Cite this article as:
Bytsenko, A.A. & Guimarães, M.E.X. Eur. Phys. J. C (2008) 58: 511. doi:10.1140/epjc/s10052-008-0743-y


There is a special relation between the spectrum and the truncated heat kernel of the Euclidean BTZ black hole which entails the Patterson–Selberg zeta function. Using an orbifold description of this relation we calculate the on-shell corrections of the gravitational quantum fluctuations.

Copyright information

© Springer-Verlag / Società Italiana di Fisica 2008

Authors and Affiliations

  1. 1.Departamento de FísicaUniversidade Estadual de LondrinaLondrina, ParanáBrazil
  2. 2.Instituto de FísicaUniversidade Federal FluminenseNiteróiBrazil