Four-Dimensional Yang–Mills Theory as a Deformation of Topological BF Theory

  title={Four-Dimensional Yang–Mills Theory as a Deformation of Topological BF Theory},
  author={Alberto S. Cattaneo and Paolo Cotta-Ramusino and Francesco Fucito and Maurizio Martellini and Maurizio Rinaldi and Alessandro Tanzini and Mauro Zeni},
  journal={Communications in Mathematical Physics},
Abstract:The classical action for pure Yang–Mills gauge theory can be formulated as a deformation of the topological BF theory where, beside the two-form field B, one has to add one extra-field η given by a one-form which transforms as the difference of two connections. The ensuing action functional gives a theory that is both classically and quantistically equivalent to the original Yang–Mills theory. In order to prove such an equivalence, it is shown that the dependency on the field η can be… Expand
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