The conformal anomaly in N-dimensional space having a hyperbolic spatial section

TL;DR

This paper calculates the conformal anomaly for spinors and scalars in N-dimensional hyperbolic space using zeta-function regularization and the Selberg trace formula, revealing similarities with the sphere case.

Contribution

It provides explicit calculations of conformal anomalies in hyperbolic spaces, extending understanding beyond spherical geometries.

Findings

Conformal anomalies for spinors and scalars are explicitly computed.

Results show strong relation to anomalies on N-dimensional spheres.

Methodology involves zeta-function regularization and the Selberg trace formula.

Abstract

The conformal anomaly for spinors and scalars on a N-dimensional hyperbolic space is calculated explicitly, by using zeta-function regularization techniques and the Selberg trace formula. In the case of conformally invariant spinors and scalars the results are very much related with those corresponding to a N-dimensional sphere.