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We present the general formulation of non-covariant Lagrangian of self-dual gauge theory. After specifying the parameters therein the previous Lagrangian in the decomposition of spacetime into $6=D_1+D_2$ and $6=D_1+D_2+D_3$ can be…

High Energy Physics - Theory · Physics 2015-06-11 Wung-Hong Huang

We show how implementing invariance under divergence-free gauge transformations leads to a remarkably simple Lagrangian description of massless bosons of any spin. Our construction covers both flat and (A)dS backgrounds and extends to…

High Energy Physics - Theory · Physics 2015-06-05 Andrea Campoleoni , Dario Francia

In this paper we consider massless spin 2 interacting with the massive arbitrary spin fermions in d=3. First of all, we study all possible deformations for the massive fermion unfolded equations in the massless spin 2 background. We find…

High Energy Physics - Theory · Physics 2023-03-29 Yu. M. Zinoviev

A non-Abelian gauge field with a topological action is coupled to a spin 3/2 Majorana spinor. The symmetries of this model are analyzed using the Dirac constraint formalism. These symmetries include a Fermionic symmetry and the algebra of…

High Energy Physics - Theory · Physics 2017-11-22 D. G. C. McKeon

We give a brief introduction into the gauge invariant formulation of irreducible massive bosonic higher spin fields. We discuss both free Lagrangians and the ones which include cubic interactions. We demonstrate an application of these…

High Energy Physics - Theory · Physics 2025-12-29 Julian Lang , Mirian Tsulaia

We consider an extension of the gauge-fixing procedure in the framework of the Lagrangian superfield BRST and BRST-antiBRST quantization schemes for arbitrary gauge theories, taking into account the possible ambiguity in the choice of the…

High Energy Physics - Theory · Physics 2007-05-23 P. M. Lavrov , L. A. Malysheva , P. Yu. Moshin

General Lagrangians are constructed for N=2 supersymmetric gauge theories in four space-time dimensions involving gauge groups with (non-abelian) electric and magnetic charges. The charges induce a scalar potential, which, when the charges…

High Energy Physics - Theory · Physics 2009-04-30 Mathijs de Vroome , Bernard de Wit

Building on the Utiyama principle we formulate an approach to Lagrangian field theory in which exterior covariant differentials of vector-valued forms replace partial derivatives, in the sense that they take up the role played by the latter…

Mathematical Physics · Physics 2018-04-25 Daniel Canarutto

In Lagrangian gauge systems, the vector space of global reducibility parameters forms a module under the Lie algebra of symmetries of the action. Since the classification of global reducibility parameters is generically easier than the…

High Energy Physics - Theory · Physics 2016-01-01 Glenn Barnich , Xavier Bekaert , Maxim Grigoriev

Totally symmetric arbitrary spin massless and massive fields in AdS space are studied. For such fields, we obtain Lagrangians which are invariant under global BRST transformations. The Lagrangians are used for computation of partition…

High Energy Physics - Theory · Physics 2015-01-13 R. R. Metsaev

We present a general analysis of gauge invariant, exact and metric independent forms which can be constructed using higher rank field-strength tensors. The integrals of these forms over the corresponding space-time coordinates provides new…

High Energy Physics - Theory · Physics 2014-01-27 Ignatios Antoniadis , George Savvidy

In this paper, for massive fields of spins 2 and 3 with non-canonical Lagrangians, we build Hamiltonians and full systems of constraints and show that the use of derivatives in a redefinition of fields can give rise to a change of number of…

High Energy Physics - Theory · Physics 2007-05-23 S. M. Klishevich

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

In this paper, we investigate gravitational interactions of massive fields with arbitrary integer and half-integer spin, trying to construct a vertex that contains both standard minimal and non-minimal interaction terms necessary to make…

High Energy Physics - Theory · Physics 2026-02-17 Yu. M. Zinoviev

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

In three dimensions, the effective action for the gauge field induced by integrating out a massless Dirac fermion is known to give either a parity-invariant or a parity-violating result, depending on the regularization scheme. We construct…

High Energy Physics - Theory · Physics 2009-10-30 Rajamani Narayanan , Jun Nishimura

It is shown that strong field approximation (SFA) can be formulated in a gauge invariant manner order by order of the expansion with no need for various partitions of the Hamiltonian in different gauges.

Atomic Physics · Physics 2009-12-31 A. Bechler , M. Ślȩczka

We show that the gauge-invariant coupling suggested by Pascalutsa removes non-pole terms from a spin-$\fth$ propagator only for a specific choice of free parameter. For the general case the problem can be solved by including higher order…

Nuclear Theory · Physics 2010-04-28 V. Shklyar , H. Lenske

A simplified mathematical approach is presented and used to find a suitable free-field Lagrangian to complete previous work on constructing a gauge theory of CPT transformations. The new Lagrangian is a slight but important modification of…

General Physics · Physics 2018-07-24 Kurt Koltko

We propose a new formulation of chiral fermions on a lattice, on the basis of a lattice extension of the covariant regularization scheme in continuum field theory. The species doublers do not emerge. The real part of the effective action is…

High Energy Physics - Theory · Physics 2016-08-25 Kiyoshi Okuyama , Hiroshi Suzuki