K. Kirsten et G. Cognola, HEAT-KERNEL COEFFICIENTS AND FUNCTIONAL DETERMINANTS FOR HIGHER-SPIN FIELDS ON THE BALL, Classical and quantum gravity, 13(4), 1996, pp. 633-644
The zeta function associated with higher-spin fields on the Euclidean
4-ball is investigated. The leading coefficients of the corresponding
heat-kernel expansion are given explicitly and the zeta functional det
erminant is calculated. For fermionic fields the determinant is shown
to differ for local and spectral boundary conditions.