Minimal Coupling of the Kalb–Ramond Field to a Scalar Field

  title={Minimal Coupling of the Kalb–Ramond Field to a Scalar Field},
  author={Elisabetta Di Grezia and Salvatore Esposito},
  journal={International Journal of Theoretical Physics},
We study the direct interaction of an antisymmetric Kalb–Ramond field with a scalar particle derived from a gauge principle. The method outlined in this paper to define a covariant derivative is applied to a simple model leading to a linear coupling between the fields. Although no conserved Noether charge exists, a conserved topological current comes out from the antisymmetry properties of the Kalb–Ramond field. Some interesting features of this current are pointed out. Possible applications of… 
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