BTZ one-loop determinants via the Selberg zeta function for general spin
Cynthia Keeler, Victoria Martin, Andrew Svesko
Abstract
A bstract We relate the heat kernel and quasinormal mode methods of computing the 1-loop partition function of arbitrary spin fields on a rotating (Euclidean) BTZ background using the Selberg zeta function associated with ℍ 3 /ℤ, extending ( arXiv:1811.08433 ) [1]. Previously, Perry and Williams [2] showed for a scalar field that the zeros of the Selberg zeta function coincide with the poles of the associated scattering operator upon a relabeling of integers. We extend the integer relabeling to the case of general spin, and discuss its relationship to the removal of non-square-integrable Euclidean zero modes.
Topics & Concepts
Riemann zeta functionMathematicsMathematical physicsPartition function (quantum field theory)Scalar (mathematics)Selberg trace formulaEuclidean geometryPure mathematicsMathematical analysisPhysicsQuantum mechanicsGeometryBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesParticle physics theoretical and experimental studies