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Covariant quantization of theories based on nonlinear extensions of Lie algebras in 2d is studied by using a generalized Lagrangian BRST formalism. The quantum action is constructed to be invariant under the off--shell nilpotent BRST…

High Energy Physics - Theory · Physics 2007-05-23 M. Blagojević , T. Vukašinac

On the basis of our recent modifications of the Dirac formalism we generalize the Bargmann-Wigner formalism for higher spins to be compatible with other formalisms for bosons. Relations with dual electrodynamics, with the…

Mathematical Physics · Physics 2013-07-12 Valeriy V. Dvoeglazov

In their simplest form, metric-like Lagrangians for higher-spin massless fields display constrained gauge symmetries, unless auxiliary fields are introduced or locality is foregone. Specifically, in its standard incarnation, gauge…

High Energy Physics - Theory · Physics 2015-06-17 D. Francia , S. L. Lyakhovich , A. A. Sharapov

Lagragian quantization rules for general gauge theories are proposed on a basis of a superfield formulation of the standard BRST symmetry. Independence of the $S$-matrix on a choice of the gauge is proved. The Ward identities in terms of…

High Energy Physics - Theory · Physics 2015-06-26 P. M. Lavrov , P. Yu. Moshin , A. A. Reshetnyak

We show that Fronsdal's Lagrangian for a free massless spin-3 gauge field in Minkowski spacetime is contained in a general Yang--Mills-like Lagrangian of metric-affine gravity (MAG), the gauge theory of the general affine group in the…

High Energy Physics - Theory · Physics 2008-11-26 Peter Baekler , Nicolas Boulanger , Friedrich W. Hehl

We study the relation between the lagrangian field-antifield formalism and the BRST invariant phase space formulation of gauge theories. Starting from the Batalin-Fradkin-Vilkovisky unitarized action, we demonstrate in a deductive way the…

High Energy Physics - Theory · Physics 2009-11-18 Heinz J. Rothe , Klaus D. Rothe

Conformal totally symmetric arbitrary spin bosonic fields in flat space-time of even dimension greater than or equal to four are studied. Second-derivative (ordinary-derivative) formulation for such fields is developed. We obtain gauge…

High Energy Physics - Theory · Physics 2015-05-13 R. R. Metsaev

Unconstrained local Lagrangians for higher-spin gauge theories are bound to involve auxiliary fields, whose integration in the partition function generates geometric, effective actions expressed in terms of curvatures. When applied to the…

High Energy Physics - Theory · Physics 2014-11-20 Dario Francia

We study the large gauge transformations of massless higher-spin fields in four-dimensional Minkowski space. Upon imposing suitable fall-off conditions, providing higher-spin counterparts of the Bondi gauge, we observe the existence of an…

High Energy Physics - Theory · Physics 2017-08-23 Andrea Campoleoni , Dario Francia , Carlo Heissenberg

The aim of this paper is to propose an unambiguous intrinsic formalism for higher-order field theories which avoids the arbitrariness in the generalization of the conventional description of field theories, which implies the existence of…

Differential Geometry · Mathematics 2010-02-05 Cedric M. Campos , Manuel de Leon , David Martin de Diego , Joris Vankerschaver

One of the possible approaches to the construction of massive higher spin interactions is to use their gauge invariant description based on the introduction of the appropriate set of Stueckelberg fields. Recently, the general properties of…

High Energy Physics - Theory · Physics 2021-09-01 M. V. Khabarov , Yu. M. Zinoviev

Using generalized field strength tensors for non-Abelian tensor gauge fields one can explicitly construct all possible Lorentz invariant quadratic forms for rank-4 non-Abelian tensor gauge fields and demonstrate that there exist only two…

High Energy Physics - Theory · Physics 2008-11-26 G. Savvidy , T. Tsukioka

We show that the parent Lagrangian method gives a natural generalization of the dual theories concept for non p-form fields. Using this generalization we construct here a three-parameter family of Lagrangians that are dual to the…

High Energy Physics - Theory · Physics 2009-11-07 H. Casini , R. Montemayor , Luis F. Urrutia

A universal model for D=4 spinning particle is constructed with the configuration space chosen as ${\bf R}^{3,1}\times S^2$, where the sphere corresponds to the spinning degrees of freedom. The Lagrangian includes all the possible…

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

We present a systematic exposition of the Lagrangian field theory for the massive spin-two field generated in higher-derivative gravity. It has been noticed by various authors that this nonlinear field overcomes the well known inconsistency…

General Relativity and Quantum Cosmology · Physics 2009-11-07 G. Magnano , L. M. Sokolowski

Using unfolded formulation of free equations for massless fields of all spins we obtain explicit form of higher-spin conformal conserved charges bilinear in 4d massless fields of arbitrary spins.

High Energy Physics - Theory · Physics 2008-11-26 O. A. Gelfond , E. D. Skvortsov , M. A. Vasiliev

We study recently proposed chiral higher spin theories - cubic theories of interacting massless higher spin fields in four-dimensional flat space. We show that they are naturally associated with gauge algebras, which manifest themselves in…

High Energy Physics - Theory · Physics 2018-01-23 Dmitry Ponomarev

Equations of motion for free higher-spin gauge fields of any symmetry can be formulated in terms of linearised curvatures. On the other hand, gauge invariance alone does not fix the form of the corresponding actions which, in addition,…

High Energy Physics - Theory · Physics 2015-05-18 Dario Francia

In the BRST-BFV scheme for noncommutative D-branes with constant NS $B$-field, introducing ghost degrees of freedom we construct the gauge fixed Hamiltonian and corresponding effective Lagrangian invariant under nilpotent BRST charge. It is…

High Energy Physics - Theory · Physics 2007-05-23 Soon-Tae Hong

In this paper we consider frame-like formulation for mixed symmetry spin-tensors corresponding to arbitrary Young tableau with two rows. First of all, we extend Skvortsov formulation for massless mixed symmetry bosonic fields in flat…

High Energy Physics - Theory · Physics 2009-08-11 Yu. M. Zinoviev
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