2009/02/02 by Jonathan Weitsman, Weitsman, Jonathan
Mathematics · Physics and Astronomy · #57R56 #81T08 #81T13 #Algebraic and Geometric Analysis #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.0902.0097
openalex publication_date 2009/02/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.