Fermion integrals for finite spectral triples

Barrett, John W.

Abstract

Fermion functional integrals are calculated for the Dirac operator of a finite real spectral triple. Complex, real and chiral functional integrals are considered for each KO-dimension where they are non-trivial, and phase ambiguities in the definition are noted.

Citation

Barrett, J. W. (2024). Fermion integrals for finite spectral triples. Journal of Physics A: Mathematical and Theoretical, 57(45), Article 455201. https://doi.org/10.1088/1751-8121/ad82ba

• Journal Article Type: Article
• Acceptance Date: Oct 1, 2024
• Online Publication Date: Oct 21, 2024
• Publication Date: Nov 8, 2024
• Deposit Date: Feb 22, 2025
• Publicly Available Date: Feb 25, 2025
• Journal: Journal of Physics A: Mathematical and Theoretical
• Print ISSN: 1751-8113
• Electronic ISSN: 1751-8121
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 57
• Issue: 45
• Article Number: 455201
• DOI: https://doi.org/10.1088/1751-8121/ad82ba
• Public URL: https://nottingham-repository.worktribe.com/output/45599772
• Publisher URL: https://iopscience.iop.org/article/10.1088/1751-8121/ad82ba