Revivals and Casimir energy for a free Maxwell field (spin-1 singleton) on R x S^d for odd d
arXiv:1609.06228
Abstract
Earlier work on quantum revivals is extended to Maxwell fields (aka spin-one singletons). An evaluation of the Casimir energy on the generalised Einstein universe is also done to illustrate the utility of the Barnes zeta--function and generalised Bernoulli polynomials. Contact is made with some recent calculations in AdS/CFT. In particular. higher order singletons are considered with the Casimir energy being a polynomial in the order.
14 pages. 6 figures. Extension to Di-Rac linetons (or GJMS fields) gives Casimir energy as polynomials in l. GJMS return amplitude plotted