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arXiv · 0902.0097

Fermionization and Convergent Perturbation Expansions in Chern-Simons Gauge Theory

Jonathan Weitsman
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Abstract

We show that Chern-Simons gauge theory with appropriate cutoffs is equivalent, term by term in perturbation theory, to a Fermionic theory with a nonlocal interaction term. When an additional cutoff is placed on the Fermi fields, this Fermionic theory gives rise to a convergent perturbation expansion. This leads us to conjecture that Chern-Simons gauge theory also gives rise to convergent perturbation expansions, which would give a mathematically well-defined construction of the theory.

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Jonathan Weitsman. 2009-02-22. Fermionization and Convergent Perturbation Expansions in Chern-Simons Gauge Theory. https://arxiv.org/abs/0902.0097

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