A Note on Perturbative Chern-Simons Theory

Jul, 1989
22 pages
Published in:
  • Nucl.Phys.B 334 (1990) 103-124
  • Published: 1990
Report number:
  • CERN-TH-5480/89

Citations per year

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Abstract: (Elsevier)
Chern-Simons theory for non-abelian gauge groups is analyzed from a perturbative point of view. Using a gauge invariant regularization based on higher derivatives and Pauli-Villars it is shown that the theory is finite at one loop, and that quantum corrections lead to a one-loop effective action consisting of a Chern-Simons term in which the parameter k is shifted to k → k + c v , where c v is the quadratic Casimir in the adjoint representation of the gauge group.
  • gauge field theory: nonabelian
  • Chern-Simons term
  • dimension: 3
  • perturbation theory: higher-order
  • n-point function
  • regularization: Pauli-Villars
  • invariance: Becchi-Rouet-Stora