Fermion integrals for finite spectral triples

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.

Authors

John W. Barrett (ORCID: https://orcid.org/0000-0001-8141-0615)

Institutions

University of Nottingham (GB)

Publication Details

Journal: Journal of Physics A Mathematical and Theoretical
Published: 2024-10-02
DOI: https://doi.org/10.1088/1751-8121/ad82ba
Citations: 1
Primary Topic: Spectral Theory in Mathematical Physics
Type: article
Field-Weighted Citation Impact: 0.89

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article

Fermion integrals for finite spectral triples

John W. Barrett

Oct 2, 2024

1 citations

Journal of Physics A Mathematical and Theoretical

Spectral Theory in Mathematical Physics

0.89

article

Fermion integrals for finite spectral triples

John W. Barrett

October 2, 2024article en

1 citations

Abstract

Journal of Physics A Mathematical and TheoreticalVol. 57(45)

University of Nottingham (GB)

Openalex Percentile: Top 29%

Spectral Theory in Mathematical Physics

0.89

DOI Open Access PDF OpenAlex

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Fermion integrals for finite spectral triples — John W. Barrett · Journal of Physics A Mathematical and Theoretical (2024) | TGRS Research Map | TGRS