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Related papers: Rarita-Schwinger model in Very Special Relativity

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This work investigates the implications of very special relativity (VSR) on the calculation of vacuum polarization for fermions in the presence of Maxwell and Kalb-Ramond gauge fields in four-dimensional spacetime. We derive the…

High Energy Physics - Theory · Physics 2023-11-16 Roberto V. Maluf , Gonzalo J. Olmo

The equations of motion for a massive spin-3/2 Rarita-Schwinger field in a finite-range, central, Lorentz scalar potential are developed. It is shown that the resulting density may not be everywhere positive definite.

Nuclear Theory · Physics 2016-09-08 P. G. Blunden , Y. Okuhara , A. S. Raskin

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

After a brief review of the celebrated 1941 paper of Rarita and Schwinger on the theory of particles with half-integral spins, we present an {\em ab initio} construct of the representation space relevant for the description of spin-3/2…

High Energy Physics - Theory · Physics 2007-05-23 M. Kirchbach , D. V. Ahluwalia

In this work, we calculate the solutions of the Rarita-Schwinger equation with the inclusion of the eletromagnetic interaction. Our gauge and coupling prescription choices lead to Dirac-type solutions. One of the consequences of our results…

Mathematical Physics · Physics 2015-07-01 M. G. de Paoli , D. P. Menezes , L. B. Castro , C. C. Barros

We study extreme-mass-ratio systems in theories admitting the Schwarzschild solution and propagating a massive graviton. We show that, in addition to small corrections to the quadrupolar and higher-order modes, a dipolar mode is excited in…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Vitor Cardoso , Francisco Duque , Andrea Maselli , David Pereñiguez

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 construct and study the vacuum polarization, $\langle \phi^{2}\rangle_{D},$ of the quantized massive scalar field with a general curvature coupling parameter in higher-dimensional static and spherically-symmetric black hole spacetimes,…

General Relativity and Quantum Cosmology · Physics 2018-11-14 Jerzy Matyjasek , Dariusz Tryniecki

This paper studies the two-spinor form of the Rarita-Schwinger potentials subject to local boundary conditions compatible with local supersymmetry. The massless Rarita-Schwinger field equations are studied in four-real-dimensional…

General Relativity and Quantum Cosmology · Physics 2008-02-03 G. Esposito , G. Gionti , A. Yu. Kamenshchik , I. V. Mishakov , G. Pollifrone

We define a variant of the Seiberg-Witten equations using the Rarita-Schwinger operators for closed simply connected spin smooth 4-manifold X. The moduli space of solutions to the system of non-linear differential equations consist of…

Differential Geometry · Mathematics 2023-06-08 Minh Lam Nguyen

We study quantization of a minimally gauged massless Rarita-Schwinger field, by both Dirac bracket and functional integral methods. The Dirac bracket approach in covariant radiation gauge leads to an anticommutator that has a non-singular…

High Energy Physics - Theory · Physics 2016-01-05 Stephen L. Adler

We study the main properties of the one-loop vacuum polarization function for massless spinor QED4 in a slab, namely, with fields defined on M in R^(3+1), such that M = {(x0, ..., x3)|0 <= x3 <= epsilon}, and bag-like boundary conditions on…

High Energy Physics - Theory · Physics 2014-11-20 C. Ccapa Ttira , C. D. Fosco , E. Losada

This paper studies the two-spinor form of the Rarita-Schwinger potentials subject to local boundary conditions compatible with local supersymmetry. The massless Rarita-Schwinger field equations are studied in four-real-dimensional…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Giampiero Esposito , Gabriele Gionti , Alexander Yu. Kamenshchik , Igor V. Mishakov , Giuseppe Pollifrone

Spinor-valued one-forms (Rarita-Schwinger fields) are normally used in the context of supergravity, where they describe spin 3/2 particles (gravitinos). Indeed, when decomposed into irreducible representations of the Lorentz group such a…

High Energy Physics - Theory · Physics 2015-06-12 Alexander Torres-Gomez , Kirill Krasnov

The Rarita-Schwinger equation in a curved background and an external electromagnetic field is discussed. We analyse the equation in the 2-component spinor formalism and derive Buchdahl conditions for them. The result is that the equation…

Mathematical Physics · Physics 2008-11-26 J. Frauendiener

The Rarita-Schwinger equations are generalised for the delta baryon having spin 3/2 and isospin 3/2. The coupling of the nucleon and the delta fields is studied. A possible generalisation of the Walecka model is proposed.

High Energy Physics - Theory · Physics 2016-09-06 I. Lovas , K. Sailer , W. Greiner

In the Cohen-Glashow Very Special Relativity we exhibit possible modifications to the Maxwell theory and to the quantum electrodynamics Lagrangian in some generality, and discuss characteristic features depending on the modifications.…

High Energy Physics - Theory · Physics 2009-08-31 Sangmo Cheon , Choonkyu Lee , Seung Jae Lee

This paper reviews the progress made over the last five years in studying boundary conditions and semiclassical properties of quantum fields about 4-real-dimensional Riemannian backgrounds. For massless spin-${1\over 2}$ fields one has a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Giampiero Esposito

We analyze the Rarita--Schwinger (RS) massless theory in the Lagrangian and Hamiltonian approaches. At the Lagrangian level, the standard gamma-trace gauge fixing constraint leaves a spin-1/2 and a spin-3/2 propagating Poincar\'e group…

High Energy Physics - Theory · Physics 2023-12-29 Mauricio Valenzuela , Jorge Zanelli

In this paper we study the axial anomaly in Very Special Relativity Electrodynamics using Pauli-Villars and dimensional regularization of ultraviolet divergences and Mandelstam-Leibbrandt regularization of infrared divergences. We compute…

High Energy Physics - Theory · Physics 2021-04-21 Jorge Alfaro
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