English

On a gauge-invariant interaction of spin-$\fth$ resonances

Nuclear Theory 2010-04-28 v1

Abstract

We show that the gauge-invariant coupling suggested by Pascalutsa removes non-pole terms from a spin-\fth\fth propagator only for a specific choice of free parameter. For the general case the problem can be solved by including higher order derivatives of spin-\fth\fth fields or by modifying the original coupling. In the latter case the obtained Lagrangian depends on one free parameter pointing to the freedom in choosing an 'off-shell' content of the theory. However, the physical observables must not be affected by the 'off-shell' contributions and should not depend on the free parameter of the Lagrangian.

Keywords

Cite

@article{arxiv.0812.4435,
  title  = {On a gauge-invariant interaction of spin-$\fth$ resonances},
  author = {V. Shklyar and H. Lenske},
  journal= {arXiv preprint arXiv:0812.4435},
  year   = {2010}
}