Functional determinants on certain domains
J.S.Dowker, J.S.Apps
TL;DR
This paper computes functional determinants for scalar and spinor fields on specific domains of the sphere and flat space, providing valuable insights for quantum field theory and spectral geometry.
Contribution
It introduces explicit calculations of functional determinants on particular geometric domains for different field types, expanding analytical tools in spectral analysis.
Findings
Explicit formulas for scalar field determinants
Explicit formulas for spinor field determinants
Applications to quantum field theory and spectral geometry
Abstract
Functional determinants on various domains of the sphere and flat space are presented for scalar and spinor fields.
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