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In the context of higher-spin holography, we compare the classification of cubic interaction vertices for higher-spin gravity theories in three dimensions to the possible three-point correlation functions of conserved higher-spin currents…

High Energy Physics - Theory · Physics 2019-09-25 Stefan Fredenhagen , Olaf Krüger , Karapet Mkrtchyan

Quantum mechanics and relativity in the continuum imply the well known spin-statistics connection. However for particles hopping on a lattice, there is no such constraint. If a lattice model yields a relativistic field theory in a continuum…

High Energy Physics - Lattice · Physics 2015-06-16 Michael Creutz

A 2D- fractional supersymmetry theory is algebraically constructed. The Lagrangian is derived using an adapted superspace including, in addition to a scalar field, two fields with spins 1/3,2/3. This theory turns out to be a rational…

High Energy Physics - Theory · Physics 2008-11-26 A. Perez , M. Rausch de Traubenberg , P. Simon

We present a geometric approach to the field theory with higher order anisotropic interactions. The concepts of higher order space, or locally anisotropic, space (in brief, h-space, or la-space) are introduced as general ones for various…

High Energy Physics - Theory · Physics 2008-02-03 Sergiu I. Vacaru

We describe some new exact solutions for two- and four-level systems. In all the cases, external fields have a restricted behavior in time. First, we consider two types of new solutions for one-spin equation, one of them is in a external…

Quantum Physics · Physics 2014-08-12 V. G. Bagrov , M. C. Baldiotti , D. M. Gitman , A. D. Levin

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

We discuss the nucleon to higher-spin $N$- and $\Delta$-resonance transitions by pions and photons. The higher-spin baryons are described by Rarita-Schwinger fields and, as we argue, this imposes a stringent consistency requirement on the…

Nuclear Theory · Physics 2009-10-31 V. Pascalutsa , R. G. E. Timmermans

We constructed all possible kinematically allowed three-point interactions of two massless Dirac spinors with massive higher-spin bosons. In any $D$ spacetime, the interactions have been constructed using the projections of the higher spin…

High Energy Physics - Theory · Physics 2025-05-09 Kushal Chakraborty , Aakash Kumar , Arnab Rudra , Amey Yeole

We consider here the problem of a "giant spin", with spin quantum number S>>1, interacting with a set of microscopic spins. Interactions between the microscopic spins are ignored. This model describes the low-energy properties of magnetic…

Condensed Matter · Physics 2015-06-25 I. S. Tupitsyn , N. V. Prokof'ev , P. C. E. Stamp

A simple Lagrangian is proposed that by the choice of the representation of SU(2), gives rise to field equations for arbitrary spin. In explicit examples it is shown, how the Klein-Gordon, the Dirac, and the Proca equation can be obtained…

High Energy Physics - Theory · Physics 2012-10-30 Benjamin Koch , Nicolas Rojas

We use the light-cone gauge formalism to study interactions of point particles with massless higher-spin fields. By analysing the light-cone consistency conditions at the subleading order in higher-spin fields, we find that no local…

High Energy Physics - Theory · Physics 2025-06-27 Vyacheslav Ivanovskiy , Dmitry Ponomarev

We denote generating functions of massless even higher spin fields "primitive string fields" (PSF's). In an introduction we present the necessary definitions and derive propagators and currents of these PDF's on flat space. Their off-shell…

High Energy Physics - Theory · Physics 2015-05-20 Werner Ruehl

Spin effects in strong interaction high energy processes are subtle phenomena which involve both short and long distance physics and test perturbative and non perturbative aspects of QCD. Moreover, depending on quantities like interferences…

High Energy Physics - Phenomenology · Physics 2008-11-26 Mauro Anselmino

A discussion of the number of degrees of freedom, and their dynamical properties, in higher derivative gravitational theories is presented. The complete non-linear sigma model for these degrees of freedom is exhibited using the method of…

High Energy Physics - Theory · Physics 2008-02-03 Ahmed Hindawi , Burt A. Ovrut , Daniel Waldram

We derive the third subleading (N$^3$LO) corrections of the quadratic-in-spin sectors via the EFT of spinning objects in post-Newtonian (PN) gravity. These corrections consist of contributions from $4$ sectors for generic compact binaries,…

High Energy Physics - Theory · Physics 2023-03-17 Jung-Wook Kim , Michèle Levi , Zhewei Yin

We present some results concerning local currents, particularly the stress tensors T^{\mu\nu}, of free higher (>1) spin gauge fields. While the T^{\mu\nu} are known to be gauge variant, we can express them, at the cost of manifest Lorentz…

High Energy Physics - Theory · Physics 2007-05-23 S. Deser , A. Waldron

We formulate the equations of motion of a free scalar field in the flat and $AdS$ space of an arbitrary dimension in the form of some "higher spin" covariant constancy conditions. Klein-Gordon equation is interpreted as a non-trivial…

High Energy Physics - Theory · Physics 2007-05-23 O. V. Shaynkman , M. A. Vasiliev

An extension of the Heisenberg Hamiltonian is discussed, that allows to go beyond the standard bilinear spin Hamiltonian taking into account various contributions due to multispin interactions having both chiral and non-chiral character.…

Materials Science · Physics 2020-05-06 S. Mankovsky , S. Polesya , H. Ebert

A survey of topics of recent interest in Hamiltonian and Lagrangian dynamical systems, including accessible discussions of regularization of the central force problem; inequivalent Lagrangians and Hamiltonians; constants of central force…

Classical Physics · Physics 2009-11-11 James T. Wheeler

We apply mean-field theory and Hirsch-Fye quantum Monte Carlo method to study the spin-spin interaction in the bulk of three-dimensional topological insulators. We find that the spin-spin interaction has three different components: the…

Strongly Correlated Electrons · Physics 2014-03-12 Jinhua Sun , Liang Chen , Hai-Qing Lin