Propagator of the Interacting Rarita–schwinger Field

Abstract

We obtain in analytical form the dressed propagator of the massive Rarita-Schwinger field taking into account all spin components and discuss shortly its properties.

Rarita-Schwinger field: Dressing procedure and spin-parity of components

“…The obtained dressed propagator (20) solves an algebraic part of the problem, the following step is renormalization. Note that the investigation of the dressed propagator is an alternative for more conventional methods based on equations of motion (see, i.e.…”

“…The appearance of p 2 factor is typical for fermions -see below and this apparent branch point p 2 is canceled in total expression for the dressed Rarita-Schwinger propagator (20). Thus we obtained the simple analytical expression (20) for the interacting Rarita-Schwinger field propagator which accounts all spin components.…”

Covariant propagator of the Rarita-Schwinger field in the nuclear medium

“…The Rarita-Schwinger propagator in vacuum was recently discussed in Ref. [12], where some elements of the basis used in the present approach were introduced (of course, without the terms relevant for the nuclear medium). For the in-medium calculation of the isobar self energy we also use the interaction lagrangian (14), but with the off-shell parameter a put to zero.…”

Fermion Resonance in Quantum Field Theory

“…They simplify essentially all calculations and clarify their physical meaning. Recall that these projection operators were successfully used in calculations of the ∆-isobar propagator both in vacuum [13,14] and media [17].…”