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arxiv: 1211.4557 · v2 · pith:X7CMJWL5new · submitted 2012-11-19 · 🧮 math-ph · gr-qc· hep-th· math.MP

A topological state sum model for fermions on the circle

classification 🧮 math-ph gr-qchep-thmath.MP
keywords modelfermionsstatecircleconstructeddiracdiscussedexactly
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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.

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