Heat-kernel coefficients and functional determinants for higher-spin fields on the ball

Abstract

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 determinant is calculated. For fermionic fields the determinant is shown to differ for local and spectral boundary conditions.

13 pages, LaTex

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Cited by in corpus (11)

• Heat kernel expansion: user's manual
• Casimir energies for massive fields in the bag
• Casimir energy in the MIT bag model
• Spectral invariants for the Dirac equation on the d-Ball with various boundary conditions
• One-Loop Divergences in Simple Supergravity: Boundary Effects
• Chiral bag boundary conditions on the ball
• One-Loop Effective Action for Euclidean Maxwell Theory on Manifolds with Boundary
• Dirac Operator on a disk with global boundary conditions
• One-Loop Effective Action on the Four-Ball
• Non-Local Properties in Euclidean Quantum Gravity
• Functional determinants on Moebius corners