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Lagrangian of a massive particle with spin 3/2 is considered in the Rarita-Schwinger formalism. We discuss implications of the contact- and the gauge-transformation on the physical content of free and interacting theories. It is shown that…

High Energy Physics - Phenomenology · Physics 2016-09-01 V. Pascalutsa

Quantization of the free and interacting Rarita-Schwinger field is considered using the Hamiltonian path-integral formulation. The particular interaction we study in detail is the $\pi N \De$ coupling used in the phenomenology of the…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. Pascalutsa

We prove that any bilinear coupling of a massive spin-3/2 field can be brought into a gauge invariant form suggested by Pascalutsa by means of a non-linear field redefinition. The corresponding field transformation is given explicitly in a…

High Energy Physics - Theory · Physics 2009-08-26 H. Krebs , E. Epelbaum , U. -G. Meißner

We perform the Dirac quantization of RS fields interacting with a spinor and the first derivative of a pseudoscalar field. We achieve the calculations for two forms of this interaction: first we review the conventional coupling of lowest…

Nuclear Theory · Physics 2016-10-31 D. Badagnani , A. Mariano , C. Barbero

We consider a massive Rarita-Schwinger field on the Anti-de Sitter space and solve the corresponding equations of motion. We show that appropriate boundary terms calculated on-shell give two-point correlation functions for spin-3/2 fields…

High Energy Physics - Theory · Physics 2009-10-31 A. S. Koshelev , O. A. Rytchkov

We study the possible covariant Lagrangians that describe the propagation of pure spin-3/2 particles. We show that, apart from the well-known Rarita-Schwinger Lagrangian, there is another possibility where the field is described by a…

High Energy Physics - Theory · Physics 2008-11-26 D. Blas

In earlier work we introduced an abelianized gauge field model in which a Rarita-Schwinger field is directly coupled to a spin-$\frac{1}{2}$ field, and showed that this model admits a perturbative expansion in the gauge field coupling. As a…

High Energy Physics - Theory · Physics 2019-10-23 Stephen L. Adler

We analyze the constraint structure of a spin-3/2 particle interacting with a pseudoscalar. Requiring the self consistency of the considered effective field theory imposes restrictions on the possible interaction terms. In the present case…

High Energy Physics - Phenomenology · Physics 2009-11-11 N. Wies , J. Gegelia , S. Scherer

We derive the general lagrangian and propagator for a vector-spinor field in $d$-dimensions and show that the physical observables are invariant under the so-called point transformation symmetry. Until now the symmetry has not been…

High Energy Physics - Theory · Physics 2016-09-06 Terry Pilling

The cross-couplings among several massless spin-two fields (described in the free limit by a sum of Pauli-Fierz actions) in the presence of a massive Rarita-Schwinger field are investigated in the framework of the deformation theory based…

High Energy Physics - Theory · Physics 2008-11-26 C. Bizdadea , E. M. Cioroianu , D. Cornea , S. O. Saliu , S. C. Sararu

A non-minimal coupling for spin $3/2$ fields is obtained. We use the fact that the Rarita-Schwinger field equations are the square root of the full linearized Einstein field equations in order to investigate the form of the interaction for…

High Energy Physics - Theory · Physics 2008-02-03 J. A. Nieto , O. Obregón , V. M. Villanueva

Interactions of gauge-invariant systems are severely constrained by several consistency requirements. One is the preservation of the number of gauge symmetries, another is causal propagation. For lower-spin fields, the emphasis is usually…

High Energy Physics - Theory · Physics 2013-09-11 Marc Henneaux , Rakibur Rahman

Rarita-Schwinger approach to description of a massive spin 3/2 particle is investigated in static coordinates of the de Sitter space-time. The general covariant system, derived from the relevant Lagrangian, is presented as a main wave…

Mathematical Physics · Physics 2011-09-23 V. M. Red'kov

The unique off-shell fermionic gauge invariance of a vector-spinor field theory is found, and the invariant action is derived. The latter is Weyl invariant in any dimension in the massless limit, and it coincides with the singular point of…

High Energy Physics - Theory · Physics 2026-04-22 Dario Sauro

We discuss the nucleon to higher-spin $N$- and $\Delta$-resonance transitions by pions and photons. The higher-spin baryons are described by Rarita-Schwinger fields and, as we argue, this imposes a stringent consistency requirement on the…

Nuclear Theory · Physics 2009-10-31 V. Pascalutsa , R. G. E. Timmermans

We address the issue of consistent interactions for off-shell fermion fields of arbitrary spin. These interactions play a crucial role in the quantum hadrodynamical description of high-spin baryon resonances in hadronic processes. The…

Nuclear Theory · Physics 2015-03-19 Tom Vrancx , Lesley De Cruz , Jan Ryckebusch , Pieter Vancraeyveld

We consider the electromagnetic and gravitational interactions of a massive Rarita-Schwinger field. Stueckelberg analysis of the system, when coupled to electromagnetism in flat space or to gravity, reveals in either case that the effective…

High Energy Physics - Theory · Physics 2013-04-03 Rakibur Rahman

One of the possible approaches to the construction of massive higher spin interactions is to use their gauge invariant description based on the introduction of the appropriate set of Stueckelberg fields. Recently, the general properties of…

High Energy Physics - Theory · Physics 2021-09-01 M. V. Khabarov , Yu. M. Zinoviev

We discuss the problem of consistent description of higher spin massive fields coupled to external gravity. As an example we consider massive field of spin 2 in arbitrary gravitational field. Consistency requires the theory to have the same…

High Energy Physics - Theory · Physics 2017-08-23 I. L. Buchbinder , V. D. Pershin

Using the methods developed by Fewster and colleagues, we derive a quantum inequality for the free massive spin-${3\over 2}$ Rarita-Schwinger fields in the four dimensional Minkowski spacetime. Our quantum inequality bound for the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Hongwei Yu , Puxun Wu
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