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In this work we construct an infinite class of four-point functions for massless higher-spin fields in flat space that are consistent with the gauge symmetry. In the Lagrangian picture, these reflect themselves in a peculiar non-local…

High Energy Physics - Theory · Physics 2015-05-30 M. Taronna

The wave function in the quantum theory of the O(N) extended supersymmetric particle model describes a massless free field with spin N/2. This quantum theory is here exactly solved in terms of gauge fields in arbitrary even dimensions using…

High Energy Physics - Theory · Physics 2009-06-12 Robert Marnelius

We propose a new, chiral description for massive higher-spin particles in four spacetime dimensions, which facilitates the introduction of consistent interactions. As proof of concept, we formulate three theories, in which higher-spin…

High Energy Physics - Theory · Physics 2022-12-14 Alexander Ochirov , Evgeny Skvortsov

These notes comprise a part of the introductory lectures on Higher Spin Theory presented in the Eighth Modave Summer School in Mathematical Physics. We construct free higher-spin theories and turn on interactions to find that…

High Energy Physics - Theory · Physics 2013-07-19 Rakibur Rahman

Gauge invariance is a powerful tool to determine the dynamics of the electroweak and strong forces. The particle content, structure and symmetries of the Standard Model Lagrangian are discussed. Special emphasis is given to the many…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Pich

Gauge invariance is a powerful tool to determine the dynamics of the electroweak and strong forces. The particle content, structure and symmetries of the Standard Model Lagrangian are discussed. Special emphasis is given to the many…

High Energy Physics - Phenomenology · Physics 2007-06-13 Antonio Pich

Free massive higher spin fields in weak background gravitational fields are discussed. Contrary to the spin one case, higher spin fields should have nontrivial non-minimal couplings to the curvature. A precise analysis is given for the spin…

High Energy Physics - Theory · Physics 2016-07-01 Masafumi Fukuma , Hikaru Kawai , Katsuta Sakai , Junji Yamamoto

We suggest that the physically irrelevant choice of a representative worldline of a relativistic spinning particle should correspond to a gauge symmetry in an action approach. Using a canonical formalism in special relativity, we identify a…

General Relativity and Quantum Cosmology · Physics 2015-01-21 Jan Steinhoff

We give a detailed review of the construction of gauge invariant Lagrangians for free and interacting higher spin fields using the BRST approach developed over the past few years.

High Energy Physics - Theory · Physics 2009-02-09 A. Fotopoulos , M. Tsulaia

We extend our study of deriving the local gauge invariance with spontaneous symmetry breaking in the context of an effective field theory by considering self-interactions of the scalar field and inclusion of the electromagnetic interaction.…

High Energy Physics - Theory · Physics 2018-12-05 D. Djukanovic , J. Gegelia , Ulf-G. Meißner

In this paper we investigate gravitational interactions of massive higher spin fields in three dimensional $AdS$ space with arbitrary value of cosmological constant including flat Minkowski space. We use frame-like gauge description for…

High Energy Physics - Theory · Physics 2015-06-11 I. L. Buchbinder , T. V. Snegirev , Yu. M. Zinoviev

We consider a model of classical noncommutative particle in an external electromagnetic field. For this model, we prove the existence of generalized gauge transformations. Classical dynamics in Hamiltonian and Lagrangian form is discussed,…

Mathematical Physics · Physics 2010-02-17 D. M. Gitman , V. G. Kupriyanov

In my lectures I will deal with three seemingly unrelated problems: i) to what extent is general relativity exceptional among metric gravity theories? ii) is it possible to define gravitational energy density applying field-theory approach…

General Relativity and Quantum Cosmology · Physics 2016-08-14 Leszek M. Sokołowski

Starting from a system of planar electrons in a strong magnetic field normal to the plane, interacting with perturbing electromagnetic fields, an effective Lagrangian for the fermions in the lowest Landau level (L.L.L.) has been derived. By…

High Energy Physics - Theory · Physics 2009-10-22 Rashmi Ray , B. Sakita

We explore a hidden possibility of BRST approach to higher spin field theory to obtain a consistent Lagrangian for massive spin-3/2 field in Einstein space. Also, we prove that in the space under consideration the propagation of spin-3/2…

High Energy Physics - Theory · Physics 2014-11-20 I. L. Buchbinder , V. A. Krykhtin

In the free case, it is possible to define quantum fields which describe particles with integer or half-integer spin larger than one. It is shown that particles with integer spin must have Bose statistic and particles with half-integer-spin…

History and Philosophy of Physics · Physics 2017-04-04 Markus Fierz , Guglielmo Pasa

The behavior of spinning particles in the stationary homogeneous magnetic field is considered and all types of trajectories for massive and massless particles are found. It is shown that spin of particles in a magnetic field is always…

Classical Physics · Physics 2016-01-11 Alexander N. Tarakanov

We investigate the problems of consistency and causality for the equations of motion describing massive spin two field in external gravitational and massless scalar dilaton fields in arbitrary spacetime dimension. From the field theoretical…

High Energy Physics - Theory · Physics 2009-10-31 I. L. Buchbinder , D. M. Gitman , V. A. Krykhtin , V. D. Pershin

Totally symmetric continuous spin field propagating in (A)dS is studied. Lagrangian gauge invariant formulation for such field is developed. Lagrangian of continuous spin field is constructed in terms of double traceless tensor fields,…

High Energy Physics - Theory · Physics 2017-04-05 R. R. Metsaev

We generalize the unconstrained description of free massless higher spin fields previously developed in [Nucl.Phys. B 779 (2007) 155] to the case of free massive higher spin fields in a flat space of arbitrary dimension. The Lagrangian is…

High Energy Physics - Theory · Physics 2010-02-03 I. L. Buchbinder , A. V. Galajinsky
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