Fermionization and Convergent Perturbation Expansions in Chern-Simons Gauge Theory

Details Fermionization and Convergent Perturbation Expansions in Chern-Simons Gauge Theory Fermionization and Convergent Perturbation Expansions in Chern-Simons Gauge Theory

2009-02-02

arxiv.org/abs/0902.0097v2

Physics

Mathematical Physics

Minor errors corrected

Scientific paper

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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