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We derive the quartic interaction vertex of pure Yang-Mills theory by demanding closure of the light-cone Poincar\'e algebra in four-dimensional Minkowski spacetime. This calculation explicitly shows why structure constants must satisfy the…

High Energy Physics - Theory · Physics 2020-02-25 Sudarshan Ananth , Aditya Kar , Sucheta Majumdar , Nabha Shah

We consider nonlinear effective actions for a spin-2 field, whose `decoupling' limit gives Fierz-Pauli action in D dimensional maximally symmetric spacetime. We find, especially, the effective action for a partially massless field can take…

High Energy Physics - Theory · Physics 2023-04-06 Nahomi Kan , Takuma Aoyama , Kiyoshi Shiraishi

Higher-spin symmetry is known to mix lower-spin fields with higher-spin fields, creating a complex interaction picture where no closed finite field sector is expected to exist for dimensions greater than three. By studying the self-dual…

High Energy Physics - Theory · Physics 2026-05-13 V. E. Didenko , A. V. Korybut

We develop the BRST approach to construct the general off-shell local Lorentz covariant cubic interaction vertices for irreducible massless and massive higher spin fields on $d$-dimensional Minkowski space. We consider two different cases…

High Energy Physics - Theory · Physics 2024-09-04 Ioseph L. Buchbinder , Alexander A. Reshetnyak

Ghost-free bimetric theories describe nonlinear interactions of massive and massless spin-2 fields and, hence, provide a natural framework for investigating the phenomenon of partial masslessness for massive spin-2 fields at the nonlinear…

High Energy Physics - Theory · Physics 2015-06-12 S. F. Hassan , Angnis Schmidt-May , Mikael von Strauss

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

We give an explicit superspace construction of higher spin conserved supercurrents built out of $4D,\mathcal{N}=1$ massless supermultiplets of arbitrary spin. These supercurrents are gauge invariant and generate a large class of cubic…

High Energy Physics - Theory · Physics 2018-08-29 I. L. Buchbinder , S. James Gates , Konstantinos Koutrolikos

Starting from the dual Lagrangians recently obtained for (partially) massless spin-2 fields in the Stueckelberg formulation, we write the equations of motion for (partially) massless gravitons in (A)dS in the form of twisted-duality…

High Energy Physics - Theory · Physics 2018-12-11 Nicolas Boulanger , Andrea Campoleoni , Ignacio Cortese , Lucas Traina

We consider 2+1 dimensional noncommutative models of scalar and fermionic fields coupled to the Chern-Simons field. We show that, at least up to one loop, the model containing only a fermionic field in the fundamental representation…

High Energy Physics - Theory · Physics 2009-11-10 E. A. Asano , L. C. T. Brito , M. Gomes , A. Yu. Petrov , A. J. da Silva

A new non-perturbative approach to quantum field theory is proposed. Instead of performing a path integral over configurations of classical fields, D-theory works with discrete quantized variables. Classical spin fields are replaced by…

High Energy Physics - Lattice · Physics 2009-10-31 U. -J. Wiese

Free massless fermionic fields of arbitrary spins $s>0$ corresponding to totally (anti)symmetric tensor-spinor representations of the $SO(d-1)$ compact subgroup and in $d$-dimensional anti-de Sitter space are investigated. We propose the…

High Energy Physics - Theory · Physics 2010-04-06 R. R. Metsaev

We construct consistent effective equations of motion for massive charged particles of spin 2 and spin $3/2$ interacting with constant electromagnetic backgrounds. While tree-level unitarity restricts point-like particles to a universal…

High Energy Physics - Theory · Physics 2025-12-12 Karim Benakli

This work is a sequel to our work "The Spin Density Matrix I: General Theory and Exact Master Equations" (eprint arXiv:0708.0644 [cond-mat]). Here we compare pure- and pseudo-spin dynamics using as an example a system of two quantum dots, a…

Strongly Correlated Electrons · Physics 2009-11-13 Sharif D. Kunikeev , Daniel A. Lidar

We apply an unconstrained formulation of bosonic higher spin fields to study interactions of these fields with a bosonic field using new method for the deformation procedure. It is proved that local vertices of any order containing one…

High Energy Physics - Theory · Physics 2023-01-18 P. M. Lavrov

Using on-shell gauge invariant formulation of relativistic dynamics we study interaction vertices for a massive spin 5/2 Dirac field propagating in (A)dS space of dimension greater than or equal to four. Gravitational interaction vertex for…

High Energy Physics - Theory · Physics 2008-11-26 R. R. Metsaev

Under the hypotheses of analyticity, locality, Lorentz covariance, and Poincare invariance of the deformations, combined with the requirement that the interaction vertices contain at most two spatiotemporal derivatives of the fields, we…

High Energy Physics - Theory · Physics 2011-03-31 C. Bizdadea , E. M. Cioroianu , S. O. Saliu , E. M. Babalic

In cosmological backgrounds, there can be 'partially massless' higher spin fields which have fewer degrees of freedom than their massive partners. The equations for the partially massless spin-2 fields are usually taken to be the linearized…

High Energy Physics - Theory · Physics 2007-05-23 Bayram Tekin

In light of recent progress in ghost-free theories of massive gravity and multi-gravity, we reconsider the problem of constructing a ghost-free theory of an interacting spin-2 field charged under a U(1) gauge symmetry. Our starting point is…

High Energy Physics - Theory · Physics 2015-08-26 Claudia de Rham , Andrew Matas , Nicholas Ondo , Andrew J. Tolley

We investigate cubic interactions between a chiral superfield and higher spin superfield corresponding to irreducible representations of the $4D,\, \mathcal{N}=1$ super-Poincar\'{e} algebra. We do this by demanding an invariance under the…

High Energy Physics - Theory · Physics 2017-12-29 I. L. Buchbinder , S. James Gates , Konstantinos Koutrolikos

We reconsider a massive dual spin 2 field theory in four spacetime dimensions. We obtain the Lagrangian that describes the lowest order coupling of the field to the four-dimensional curl of its own energy-momentum tensor. We then find some…

High Energy Physics - Theory · Physics 2020-01-08 T. L. Curtright , H. Alshal
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