A topological state sum model for a scalar field on the circle

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.

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• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• A topological state sum model for fermions on the circle
• Discretizing parametrized systems: the magic of Ditt-invariance

Cited by in corpus (1)

• Free Energy on a Cycle Graph and Trigonometric Deformation of Heat Kernel Traces on Odd Spheres