Functional Determinant of the Massive Laplace Operator and the Multiplicative Anomaly

2014/08/31 by G. Cognola, E. Elizalde, S. Zerbini · 1 citation
Mathematics · Physics and Astronomy · #hep-th #math-ph #math.MP

paper · pdf · doi:10.1088/1751-8113/48/4/045203

15 pages, LaTex

arxiv created 2014/12/10 · arxiv updated 2015/06/22

Abstract

After a brief survey of zeta function regularization issues and of the related multiplicative anomaly, illustrated with a couple of basic examples, namely the harmonic oscillator and quantum field theory at finite temperature, an application of these methods to the computation of functional determinants corresponding to massive Laplacians on spheres in arbitrary dimensions is presented. Explicit formulas are provided for the Laplace operator on spheres in N=1,2,3,4 dimensions and for `vector' and `tensor' Laplacians on the unitary sphere S⁴.

Cited by

• Quadratic gravity with propagating torsion and asymptotic freedom