Spin on the 4-ball

Abstract

Using known mode properties, the functional determinant for massless spin-half fields on the Euclidean 4-ball is calculated and shown to be different for spectral (nonlocal) and mixed (local) boundary conditions. The local result agrees with that from a conformal argument. Some higher-spin results are also given.

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References in corpus (4)

• Local Boundary Conditions for the Dirac Operator and One-Loop Quantum Cosmology
• Spectral Boundary Conditions in One-Loop Quantum Cosmology
• Conformal anomalies on Einstein spaces with Boundary
• Further functional determinants

Cited by in corpus (7)

• Heat kernel expansion: user's manual
• Casimir energy in the MIT bag model
• Casimir Energies for Spherically Symmetric Cavities
• Spectral invariants for the Dirac equation on the d-Ball with various boundary conditions
• One-Loop Divergences in Simple Supergravity: Boundary Effects
• One-Loop Effective Action for Euclidean Maxwell Theory on Manifolds with Boundary
• One-Loop Effective Action on the Four-Ball