A topological state sum model for a scalar field on the circle
High Energy Physics - Theory
2016-02-16 v1
Abstract
This paper is a follow-up to a previous paper on fermions. A simple state sum model for a scalar field on a triangulated 1-manifold is constructed. The model is independent of the triangulation and gives exactly the same partition function as the continuum functional integral with zeta function regularisation. For a certain choice of gauge group, the state sum model on the circle is equivalent to the path integral for the simple harmonic oscillator.
Keywords
Cite
@article{arxiv.1602.04264,
title = {A topological state sum model for a scalar field on the circle},
author = {Steven Kerr},
journal= {arXiv preprint arXiv:1602.04264},
year = {2016}
}