Fermion integrals for finite spectral triples
Mathematical Physics
2024-08-28 v2 High Energy Physics - Lattice
High Energy Physics - Theory
math.MP
Quantum Physics
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.
Keywords
Cite
@article{arxiv.2403.18428,
title = {Fermion integrals for finite spectral triples},
author = {John W. Barrett},
journal= {arXiv preprint arXiv:2403.18428},
year = {2024}
}
Comments
Approx 9 pages; v2: corrections and improvements, additional references