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The non-relativistic quantum field theoretic lagrangian which describes an anyon system in the presence of an electromagnetic field is identified. A non-minimal magnetic coupling to the Chern-Simons statistical field as well as to the…

High Energy Physics - Theory · Physics 2012-03-15 J. L. Cortes , J. Gamboa , L. Velazquez

In this paper, we continue our investigation of gravitational interactions for massive higher spins, extending our recent work on massive spin 5/2 to massive spin 3, including its massless and partially massless limits. To construct the…

High Energy Physics - Theory · Physics 2025-10-31 Yu. M. Zinoviev

After proving the impossibility of consistent non-minimal coupling of a real Rarita-Schwinger gauge field to electromagnetism, we re-derive the necessity of introducing the graviton in order to couple a complex Rarita-Schwinger gauge field…

High Energy Physics - Theory · Physics 2018-12-17 Nicolas Boulanger , Bernard Julia , Lucas Traina

We investigate $ Y(R) F^2 $-type coupling of electromagnetic fields to gravity. After we derive field equations by a first order variational principle from the Lagrangian formulation of the non-minimally coupled theory, we look for static,…

General Relativity and Quantum Cosmology · Physics 2015-03-20 Özcan Sert

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

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

The gravitational chiral quantum anomaly is calculated in the framework of the extended Rarita-Schwinger-Adler (RSA) field theory, which includes the interaction with an additional spin 1/2 field. It is shown that the factor in the…

High Energy Physics - Theory · Physics 2022-08-17 G. Yu. Prokhorov , O. V. Teryaev , V. I. Zakharov

The gauge invariant minimal couplings for a class of relativistic free matter fields with global symmetry (related to usual charge conservation) have been obtained by incorporating an iterative Noether mechanism. Non-relativistic reduction…

High Energy Physics - Theory · Physics 2025-10-15 Ashis Saha , Rabin Banerjee , Sunandan Gangopadhyay

We consider a spherically symmetric, static system of a Dirac particle interacting with classical gravity and an SU(2) Yang-Mills field. The corresponding Einstein-Dirac-Yang/Mills equations are derived. Using numerical methods, we find…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Felix Finster , Joel Smoller , Shing-Tung Yau

In this paper, we investigate gravitational interactions of massive fields with arbitrary integer and half-integer spin, trying to construct a vertex that contains both standard minimal and non-minimal interaction terms necessary to make…

High Energy Physics - Theory · Physics 2026-02-17 Yu. M. Zinoviev

We use the vector model of spinning particle to analyze the influence of spin-field coupling on the particle's trajectory in ultra-relativistic regime. The Lagrangian with minimal spin-gravity interaction yields the equations equivalent to…

General Relativity and Quantum Cosmology · Physics 2016-10-14 Alexei A. Deriglazov , Walberto Guzmán Ramírez

The very existence of partially massless spin 2 supermultiplet tell us that partially massless spin 2 has two natural superpartners: massless spin 3/2 and massive spin 3/2 with some special value of mass. As for any pair of fields connected…

High Energy Physics - Theory · Physics 2025-04-03 Yu. M. Zinoviev

A three-parameter toy-model, which describes a non-minimal coupling of gravity field with electromagnetic field of a relativistic two-component electrically neutral plasma, is discussed. Resonance interactions between particles and…

General Relativity and Quantum Cosmology · Physics 2009-03-19 A. B. Balakin , R. K. Muharlyamov

The coupling between matter fields and gravity, encoded in the geometry of spacetime, can be realized in various ways. Most commonly, a minimal coupling principle is employed, meaning that all matter fields, except spinors, couple only to…

General Relativity and Quantum Cosmology · Physics 2026-02-11 Sebastian Bahamonde , Jorge Maggiolo , Christian Pfeifer

We give a detailed analysis of an abelianized gauge field model in which a Rarita-Schwinger spin-$\frac{3}{2}$ field is directly coupled to a spin-$\frac{1}{2}$ field. The model permits a perturbative expansion in powers of the gauge field…

High Energy Physics - Theory · Physics 2018-02-28 Stephen L. Adler

This work deals with the theory of a quantized spin-2 field in the framework of causal perturbation theory. It is divided into two parts. In the first part we analyze the gauge structure of a massless self-interacting quantum tensor field.…

High Energy Physics - Theory · Physics 2007-05-23 M. Wellmann

We examine the generic theory of a partially massless (PM) spin-two field interacting with gravity in four dimensions from a bottom-up perspective. By analyzing the most general form of the Lagrangian, we first show that if such a theory…

High Energy Physics - Theory · Physics 2014-09-23 Euihun Joung , Wenliang Li , Massimo Taronna

This paper is a letter-type version of hep-th/9806236. We discuss properties of non-linear equations of motion which describe higher-spin gauge interactions for massive spin-0 and spin-1/2 matter fields in 2+1 dimensional anti-de Sitter…

High Energy Physics - Theory · Physics 2007-05-23 Sergey Prokushkin , Mikhail Vasiliev

A unified theory of the non-Abelian gauge interactions with gravity in the framework of a discretized Kaluaza-Kleine theory is constructed with a modified Dirac operator and wedge product. All the couplings of chiral spinors to the…

High Energy Physics - Theory · Physics 2017-03-08 Ai Viet Nguyen , Van Dat Nguyen , Suan Han Nguyen , Kameshwar C. Wali

Non-minimal actions with matter represented by a scalar field coupled to gravity are considered in the context of a homogeneous and isotropic universe. The coupling is of the form $-\xi/2 \phi^2 R$. The possibility of successful inflation…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Martin Bojowald , Mikhail Kagan