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We develop a systematic approach to the computation of gauge invariant quartic interactions between reducible massive and massless higher spin fields. Extending the BRST formulation of existing cubic results, we obtain a single constraint…

High Energy Physics - Theory · Physics 2026-05-08 Julian Lang , Mirian Tsulaia

The quantum concurrence of $SU(2) \otimes SU(2)$ spin-parity states is shown to be invariant under $SO(1,3)$ Lorentz boosts and $O(3)$ rotations when the density matrices are constructed in consonance with the covariant probabilistic…

Quantum Physics · Physics 2020-07-14 Alex E. Bernardini , Victor A. S. V. Bittencourt , Massimo Blasone

Covariant first and second quantization of the free d=4 massless superparticle are implemented with the introduction of purely gauge auxiliary spinor Lorentz harmonics. It is shown that the general solution of the condition of maslessness…

High Energy Physics - Theory · Physics 2019-09-25 S. Fedoruk , V. G. Zima

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

We work on some general extensions of the formalism for theories which preserve the relativity of inertial frames with a nonlinear action of the Lorentz transformations on momentum space. Relativistic particle models invariant under the…

High Energy Physics - Theory · Physics 2009-11-10 Alex E. Bernardini , Roldao da Rocha

We study the propagation of gauge fields with arbitrary integer spins in the symmetrical Einstein space of any dimensionality. We reduce the problem of obtaining a gauge-invariant Lagrangian of integer spin fields in such background to an…

High Energy Physics - Theory · Physics 2009-10-31 S. M. Klishevich

We consider the magneto-electric optical properties of the quantum vacuum and show that all the different phenomenona are related by Lorentz invariance. As a model calculation we show how crossed fields properties can be calculated starting…

Optics · Physics 2009-11-10 C Rizzo , G. L. J. A. Rikken

We consider the minimal interacting theory of a single tower of spin j=0,2,4,... massless Fronsdal fields in flat space for which consistent covariant cubic interaction vertices are known. We address the question of constraints on possible…

High Energy Physics - Theory · Physics 2017-05-24 R. Roiban , A. A. Tseytlin

A framework is proposed that allows to write down field theories with a new energy scale while explicitly preserving Lorentz invariance and without spoiling the features of standard quantum field theory which allow quick calculations of…

High Energy Physics - Theory · Physics 2008-11-26 Tomasz Konopka

We derive cubic interaction vertices for a class of higher-derivative theories involving three arbitrary integer spin fields. This derivation uses the requirement of closure of the Poincar\`e algebra in four-dimensional flat spacetime. We…

High Energy Physics - Theory · Physics 2024-05-14 Sudarshan Ananth , Nipun Bhave , Chetan Pandey , Saurabh Pant

We present a new $6D$ infinite spin field theory in the light-front formulation. The Lorentz-covariant counterparts of these fields depend on 6-vector coordinates and additional spinor variables. Casimir operators in this realization are…

High Energy Physics - Theory · Physics 2022-09-07 I. L. Buchbinder , S. A. Fedoruk , A. P. Isaev

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

We propose and implement a lattice scheme for coherently manipulating atomic spins. Using the vector light shift and a superlattice structure, we demonstrate experimentally the capability on parallel spin addressing in double-wells and…

Quantum Gases · Physics 2017-08-25 Bing Yang , Han-Ning Dai , Hui Sun , Andreas Reingruber , Zhen-Sheng Yuan , Jian-Wei Pan

Using the BRST approach to higher spin field theories we develop a generic technique for constructing the cubic interaction vertices for N=1 supersymmetric massless higher spin fields on four, six and ten dimensional flat backgrounds. Such…

High Energy Physics - Theory · Physics 2021-05-12 I. L. Buchbinder , V. A. Krykhtin , Mirian Tsulaia , Dorin Weissman

We report on a recent progress in constructing off-shell ${\cal N}=2, 4D$ supersymmetric integer higher-spin theory in terms of unconstrained harmonic analytic gauge superfields and their cubic interaction with the matter hypermultiplets.…

High Energy Physics - Theory · Physics 2023-06-30 Evgeny Ivanov

Effective field theories which describe the coupling between gravity and matter fields have recently been extended to include terms with operators of non-minimal mass dimension. These terms preserve the usual gauge symmetries but may…

High Energy Physics - Phenomenology · Physics 2025-02-04 Hollis Williams

A Lorenz-covariant system of wave equations is formulated for a quantum-mechanical two-body system in one space dimension, comprised of one electron and one photon. Manifest Lorentz covariance is achieved using Dirac's formalism of…

Mathematical Physics · Physics 2020-12-02 Michael K. -H. Kiessling , Matthias Lienert , A. Shadi Tahvildar-Zadeh

A gauge theory of the Lorentz group, based on the different behavior of spinors and vectors under local transformations, is formulated in a flat space-time and the role of the torsion field within the generalization to curved space-time is…

High Energy Physics - Theory · Physics 2009-03-24 Nakia Carlevaro , Orchidea Maria Lecian , Giovanni Montani

The correspondence between Riemann-Finsler geometries and effective field theories with spin-independent Lorentz violation is explored. We obtain the general quadratic action for effective scalar field theories in any spacetime dimension…

High Energy Physics - Theory · Physics 2018-10-18 Benjamin R. Edwards , Alan Kostelecky

This paper revisits the geometric foundations of electromagnetic theory, by studying Faraday's concept of field lines. We introduce "covariant electromagnetic field lines," a novel construct that extends traditional field line concepts to a…

Classical Physics · Physics 2024-01-17 Yaron Hadad , Ido Kaminer , Avshalom Elitzur , Eliahu Cohen