A topological state sum model for fermions on the circle
Mathematical Physics
2013-07-10 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
Abstract
A simple state sum model for fermions on a 1-manifold is constructed. The model is independent of the triangulation and gives exactly the same partition function as the Dirac functional integral with zeta-function regularisation. Some implications for more realistic physical models are discussed.
Keywords
Cite
@article{arxiv.1211.4557,
title = {A topological state sum model for fermions on the circle},
author = {John W. Barrett and Steven Kerr and Jorma Louko},
journal= {arXiv preprint arXiv:1211.4557},
year = {2013}
}
Comments
20 pages. v2: minor corrections, reference added