We discuss the formulation of a non-relativistic effective field theory for two-body P-wave scattering in presence shallow states and critically address various approaches to renormalization proposed literature. It is demonstrated that consistent involving only finite number parameters well-established formalism with auxiliary dimer fields corresponds inclusion an infinite counterterms contact ...

In $d$ dimensions, the model for a massless $p$-form in curved space is known to be reducible gauge theory $p>1$, and therefore its covariant quantisation cannot carried out using standard Faddeev-Popov scheme. However, adding mass term also introducing Stueckelberg reformulation of resulting model, one ends up with an irreducible which can quantised \`a la Faddeev Popov. We derive compact expr...