Fermionization and Convergent Perturbation Expansions in Chern-Simons Gauge Theory

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dc.creatorWeitsman, Jonathan
dc.date2009-02-02
dc.date2009-02-22
dc.date.accessioned2026-07-07T12:44:26Z
dc.date.available2026-07-07T12:44:26Z
dc.descriptionWe 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.
dc.descriptionMinor errors corrected
dc.identifierhttps://arxiv.org/abs/0902.0097
dc.identifierhttp://arxiv.org/abs/0902.0097
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220771
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.subject57R56;81T13;81T08
dc.titleFermionization and Convergent Perturbation Expansions in Chern-Simons Gauge Theory
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