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A coordinate-space representation for a charged scalar particle propagator in a constant magnetic field was obtained as a series over the Landau levels. Using the recently developed modified Fock-Schwinger method, an intermediate expression…

High Energy Physics - Theory · Physics 2021-02-03 S. N. Iablokov , A. V. Kuznetsov

The field-dependent invariant representation (the "dynamical" representation) of the Poincar\'e algebra is considered as a dynamical principle in order to get the corresponding "dynamical" electromagnetic coupling for higher spins ($s\geq…

High Energy Physics - Theory · Physics 2009-11-07 I. Ots , R. Saar , R. -K. Loide , H. Liivat

A didactic description of charge and spin equilibrium currents on mesoscopic rings in the presence of Spin-Orbit interaction is presented. Emphasis is made on the non trivial construction of the correct Hamiltonian in polar coordinates, the…

Mesoscale and Nanoscale Physics · Physics 2014-11-21 Bertrand Berche , Christophe Chatelain , Ernesto Medina

We propose a modified gravitational action containing besides the Einstein-Cartan term some quadratic contributions resembling the Yang-Mills lagrangian for the Lorentz spin connections. We outline how a propagating torsion arises and we…

General Relativity and Quantum Cosmology · Physics 2016-07-20 Francesco Cianfrani , Giovanni Montani , Vincenzo Scopelliti

This paper sets out to establish a comparative study between classes of spin- and velocity-dependent potentials for spin-1/2 and spin-1 matter currents/sources in the non-relativistic regime. Both (neutral massive) scalar and vector…

High Energy Physics - Theory · Physics 2017-01-03 P. C. Malta , L. P. R. Ospedal , K. Veiga , J. A. Helayël-Neto

In this paper, starting from pure group-theoretical point of view, we develop a regular approach to describing particles with different spins in the framework of a theory of scalar fields on the Poincare group. Such fields can be considered…

High Energy Physics - Theory · Physics 2007-05-23 D. M. Gitman , A. L. Shelepin

We determine the current exchange amplitudes for free totally symmetric tensor fields $\vf_{\mu_1 ... \mu_s}$ of mass $M$ in a $d$-dimensional $dS$ space, extending the results previously obtained for $s=2$ by other authors. Our…

High Energy Physics - Theory · Physics 2008-11-26 D. Francia , J. Mourad , A. Sagnotti

We propose a covariant Hamiltonian action for the Prokushkin and Vasiliev's matter coupled higher spin gravity in three dimensions. The action is formulated on ${\cal X}_4 \times {\cal Z}_2$ where ${\cal X}_4$ is an open manifold whose…

High Energy Physics - Theory · Physics 2016-05-25 Roberto Bonezzi , Nicolas Boulanger , Ergin Sezgin , Per Sundell

We have investigated the use of pure spin-3/2 propagator with consistent interaction Lagrangians to describe the property of spin-3/2 resonance. For this purpose we use the antisymmetric tensor spinor representation. By using the primary…

Nuclear Theory · Physics 2019-09-30 T. Mart , J. Kristiano , S. Clymton

Massive and massless arbitrary integer spin fields propagating in four-dimensional flat space are studied. The massive and massless fields are treated by using a light-cone gauge helicity basis formalism. Cubic cross-interactions between…

High Energy Physics - Theory · Physics 2022-10-05 R. R. Metsaev

We propose to describe higher spins as invariant subspaces of the Casimir operators of the Poincar\'{e} Group, P^{2}, and the squared Pauli-Lubanski operator, W^{2}, in a properly chosen representation, \psi(p) (in momentum space), of the…

High Energy Physics - Phenomenology · Physics 2009-09-24 Mauro Napsuciale , Mariana Kirchbach

In the recent article Phys.\ Lett.\ B {\bf 759} (2016) 424 a new class of field theories called Nonlinear Field Space Theory has been proposed. In this approach, the standard field theories are considered as linear approximations to some…

High Energy Physics - Theory · Physics 2017-01-05 Jakub Mielczarek

We explore a local form of second-order Vasiliev equations proposed in [arXiv:1706.03718] and obtain an explicit expression for quadratic corrections to bosonic Fronsdal equations, generated by gauge-invariant higher-spin currents. Our…

High Energy Physics - Theory · Physics 2018-04-24 Nikita Misuna

A classical action is proposed which upon quantisation yields massless particles belonging to the continuous spin representation of the Poincar\'e group. The string generalisation of the action is identical to the tensionless extrinsic…

High Energy Physics - Theory · Physics 2007-05-23 J. Mourad

Many scalar field theory models with complex actions are invariant under the antilinear ($PT$) symmetry operation $L^{\ast}(-\chi)=L(\chi)$. Models in this class include the $i\phi^{3}$ model, the Bose gas at finite density and Polyakov…

High Energy Physics - Lattice · Physics 2018-11-28 Michael C. Ogilvie , Leandro Medina

The explicit covariant actions and propagators are given for fields describing particles of all spins and masses, in any spacetime dimension. Massive particles are realized as "dimensionally reduced" massless particles. To obtain compact…

High Energy Physics - Theory · Physics 2024-04-23 Lukas W. Lindwasser

We propose the action for a massive $N$-extended superparticle with a pure (half)integer superspin $Y,~Y = 0, 1/2, 1, 3/2, \ldots$. Regardless of the superspin value, the configuration space is ${\Bbb R}^{4|4N} \times S^2$, where $S^2$…

High Energy Physics - Theory · Physics 2008-11-26 S. M. Kuzenko , S. L. Lyakhovich , A. Yu. Segal

We propose a new gauge field theory which is an extension of ordinary string field theory by assembling multiple state spaces of the bosonic string. The theory includes higher spin fields in its massless spectrum together with the infinite…

High Energy Physics - Theory · Physics 2015-06-17 Masako Asano , Mitsuhiro Kato

The frame-like covariant Lagrangian formulation of bosonic and fermionic mixed-symmetry type higher spin massless fields propagating on the AdS(d) background is proposed. Higher spin fields are described in terms of gauge p-forms which…

High Energy Physics - Theory · Physics 2010-04-05 K. B. Alkalaev , O. V. Shaynkman , M. A. Vasiliev

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