© 2015 IOP Publishing Ltd Printed in the UK. 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.
|Journal||Journal of Physics A: Mathematical and Theoretical|
|Publication status||Published - 30 Jan 2015|
- arbitrary dimensional spheres
- functional determinant
- multiplicative anomaly