Zeta function regularization for a scalar field in a compact domain
Zeta function regularization for a scalar field in a compact domain
We express the zeta function associated with the Laplacian operator on S1r × M in terms of the zeta function associated with the Laplacian on M, where M is a compact connected Riemannian manifold. This gives formulae for the partition function of the associated physical model at low and high …