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In this letter, we suggest a local covariant action for a gauge field theory of fermionic Continuous-Spin Particles (CSPs). The action is invariant under gauge transformations without any constraint on both the gauge field and the gauge…

High Energy Physics - Theory · Physics 2018-03-28 X. Bekaert , M. Najafizadeh , M. R. Setare

We discuss alternative descriptions of four-dimensional self-dual Yang-Mills fields in harmonic space with additional commuting spinor coordinates. In particular, the linear analyticity equation and nonlinear covariant harmonic-field…

High Energy Physics - Theory · Physics 2007-05-23 Olaf Lechtenfeld , Boris Zupnik

We present a gauge field theory for the continuous spin tachyonic representation of the Poincar\'e group. It was obtained by a dimensional reduction of a complex gauge field theory for a continuous spin particle in a cotangent bundle over…

High Energy Physics - Theory · Physics 2023-08-16 Victor O. Rivelles

Lorentz invariant derivative interactions for a single spin-2 field are investigated, up to the cubic order. We start from the most general Lorentz invariant terms involving two spacetime derivatives, which are polynomials in the spin-2…

High Energy Physics - Theory · Physics 2014-09-17 Xian Gao

In this paper we consider massless spin 2 interacting with the massive arbitrary spin fermions in d=3. First of all, we study all possible deformations for the massive fermion unfolded equations in the massless spin 2 background. We find…

High Energy Physics - Theory · Physics 2023-03-29 Yu. M. Zinoviev

We make an explicit link between the cubic interactions of off-shell fields and the on-shell three-point amplitudes in four dimensions. Both the cubic interactions and the on-shell three-point amplitudes had been independently classified in…

High Energy Physics - Theory · Physics 2016-08-24 Eduardo Conde , Euihun Joung , Karapet Mkrtchyan

When utilizing a cluster decomposible relativistic scattering formalism, it is most convenient that the covariant field equations take on a linear form with respect to the energy and momentum dispersion on the fields in the manner given by…

Mathematical Physics · Physics 2007-05-23 James Lindesay

Massive higher spin fields are notoriously difficult to introduce interactions when they are described by symmetric (spin)-tensors. An alternative approach is to use chiral description that does not have unphysical longitudinal modes. For…

High Energy Physics - Theory · Physics 2025-01-28 William Delplanque , Evgeny Skvortsov

Conformal low-spin anomalous currents and shadow fields in flat space-time of dimension greater than or equal to four are studied. Gauge invariant formulation for such currents and shadow fields is developed. Gauge symmetries are realized…

High Energy Physics - Theory · Physics 2011-05-19 R. R. Metsaev

Spin-one matter fields are relevant both for the description of hadronic states and as potential extensions of the Standard Model. In this work we present a formalism for the description of massive spin-one fields transforming in the…

High Energy Physics - Phenomenology · Physics 2016-04-13 M. Napsuciale , S. Rodríguez , Rodolfo Ferro-Hernández , Selim Gómez-Ávila

Cubic couplings between a complex scalar field and a tower of symmetric tensor gauge fields of all ranks are investigated on any constant curvature spacetime of dimension d>2. Following Noether's method, the gauge fields interact with the…

High Energy Physics - Theory · Physics 2010-11-30 Xavier Bekaert , Elisa Meunier

We introduce a variational method for the approximation of ground states of strongly interacting spin systems in arbitrary geometries and spatial dimensions. The approach is based on weighted graph states and superpositions thereof. These…

Quantum Physics · Physics 2007-05-23 S. Anders , M. B. Plenio , W. Dür , F. Verstraete , H. -J. Briegel

Using Noether's procedure we present a complete solution for the trilinear interactions of arbitrary spins $s_{1},s_{2}, s_{3}$ in a flat background, and discuss the possibility to enlarge this construction to higher order interactions in…

High Energy Physics - Theory · Physics 2012-01-18 Ruben Manvelyan , Karapet Mkrtchyan , Werner Ruehl

We elaborate on the partially massless spin 5/2 supermultiplet, which contains partially massless spin 5/2, massless and partially massless spin 2, as well as massless spin 3/2. We consider the global supertransformations connecting…

High Energy Physics - Theory · Physics 2025-06-09 Yu. M. Zinoviev

By considering the spin connection, we deduce the effective equation for a spin-1/2 particle confined to a curved surface with the non-relativistic limit and in the thin-layer quantization formalism. We obtain a pseudo-magnetic field and an…

Quantum Physics · Physics 2018-12-19 Guo-Hua Liang , Yong-Long Wang , Meng-Yun Lai , Hui Liu , Hong-Shi Zong , Shi-Ning Zhu

We analyze how non-relativistic effective models for the magnetic coupling of a spin to the electromagnetic field (proportional to $\hat{\boldsymbol{\sigma}}\cdot \boldsymbol{B}$) emerge from a full quantum field theoretical description of…

Quantum Physics · Physics 2025-05-06 Ruhi Shah , Eduardo Martín-Martínez , T. Rick Perche

Within the light-front approach in flat space, we study the closure of the Poincare algebra at the quartic order, specifically the nonholomorphic constraint involving both MHV and anti-MHV vertices. We first recover some well-established…

High Energy Physics - Theory · Physics 2026-02-16 Mattia Serrani

Conformal totally symmetric arbitrary spin currents and shadow fields in flat space-time of dimension greater than or equal to four are studied. Gauge invariant formulation for such currents and shadow fields is developed. Gauge symmetries…

High Energy Physics - Theory · Physics 2009-02-23 R. R. Metsaev

By employing the Stueckelberg formalism, we argue that the theory of massive spin-2 field coupled to electromagnetism in flat space must have an intrinsic, model independent, finite UV cutoff. We show how the very existence of a cutoff has…

High Energy Physics - Theory · Physics 2008-10-09 Massimo Porrati , Rakibur Rahman

We study a very general four dimensional Field Theory model describing the dynamics of a massless higher spin $N$ symmetric tensor field particle interacting with a geometrical background.This model is invariant under the action of an…

High Energy Physics - Theory · Physics 2015-06-11 Giuseppe Bandelloni