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A parametrization of gauge fields on complex projective spaces of arbitrary dimension is given as a generalization of the two-dimensional case. Gauge transformations act homogeneously on the fields, facilitating a manifestly gauge-invariant…

High Energy Physics - Theory · Physics 2022-11-18 Dimitra Karabali , Antonina Maj , V. P. Nair

A long-wavelength, low-frequency effective theory is obtained from $t_1-t_2-J$ model. The action is written in terms of two-component bose spinor fields (CP^1 fields) and two spinless Fermi fields. The generalized CP^1 model is invariant…

Condensed Matter · Physics 2016-08-31 Naoum Karchev

Conserved currents of any spin $t>0$ built from symmetric massless gauge fields of any integer spin $s \geq t$ in {4d} Minkowski space are found. In particular, stress-energy tensor for a higher-spin field of any spin is constructed.…

High Energy Physics - Theory · Physics 2015-01-26 P. A. Smirnov , M. A. Vasiliev

The gauge structure of the four dimensional effective theory originated in a pure five dimensional Yang-Mills theory compactified on the orbifold $S^1/Z_2$, is discussed on the basis of the BRST symmetry. If gauge parameters propagate in…

High Energy Physics - Phenomenology · Physics 2015-05-27 H. Novales-Sánchez , J. J. Toscano

We give in this paper an explicit construction of the covariant quantization of the rank-two massless tensor field on de Sitter space (linear covariant quantum gravity on a de Sitter background). The main ingredient of the construction is…

General Relativity and Quantum Cosmology · Physics 2017-10-19 M. V. Takook

We describe a method of writing down the exact interacting gauge invariant equations for all the modes of the bosonic open string. It is a generalization of the loop variable approach that was used earlier for the free, and lowest order…

High Energy Physics - Theory · Physics 2007-05-23 B. Sathiapalan

Making use of the known off-shell formulations for massless higher-spin ${\cal N}=1$ supermultiplets in four dimensions, gauge-invariant off-shell actions for massive higher-spin ${\cal N}=2$ supermultiplets in three dimensions (3D) are…

High Energy Physics - Theory · Physics 2026-04-22 Evgeny I. Buchbinder , Arcadia J. Fegebank , Sergei M. Kuzenko

We consider the problem of covariant gauge-fixing in the most general setting of the field-antifield formalism, where the action W and the gauge-fixing part X enter symmetrically and both satisfy the Quantum Master Equation. Analogous to…

High Energy Physics - Theory · Physics 2008-11-26 I. A. Batalin , K. Bering , P. H. Damgaard

We consider a free massless scalar field coupled to an infinite tower of background higher-spin gauge fields via minimal coupling to the traceless conserved currents. The set of Abelian gauge transformations is deformed to the non-Abelian…

High Energy Physics - Theory · Physics 2011-02-22 Xavier Bekaert , Euihun Joung , Jihad Mourad

How to make compatible both boundary and gauge conditions for generally covariant theories using the gauge symmetry generated by first class constraints is studied. This approach employs finite gauge transformations in contrast with…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Merced Montesinos , Jose David Vergara

We use light-cone gauge formalism to study interacting massive and massless continuous-spin fields and finite component arbitrary spin fields propagating in the flat space. Cubic interaction vertices for such fields are considered. We…

High Energy Physics - Theory · Physics 2018-12-26 R. R. Metsaev

A novel inhomogeneous gauge transformation law is proposed for a non-Abelian adjoint two-form in four dimensions. Rules for constructing actions invariant under this are given. The auxiliary vector field which appears in some of these…

High Energy Physics - Theory · Physics 2009-11-07 Amitabha Lahiri

The aim of this paper is to give a firm and clear proof of the existence in the background field framework of a gauge invariant effective action for any gauge theory ({\it background gauge equivalence}). Here by effective action we mean a…

High Energy Physics - Theory · Physics 2008-11-26 Carlo Becchi , Renzo Collina

In this work we construct a gauge invariant description of free massive particle with an arbitrary integer spin. Such description allows one to investigate the problem of consistent interactions for massive high spin particles using the…

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

We find necessary and sufficient conditions for gauge invariance of the action of Double Field Theory (DFT) as well as closure of the algebra of gauge symmetries. The so-called weak and strong constraints are sufficient to satisfy them, but…

High Energy Physics - Theory · Physics 2012-04-24 Mariana Graña , Diego Marques

We describe the explicit construction of groves, the smallest gauge invariant classes of tree Feynman diagrams in gauge theories. The construction is valid for gauge theories with any number of group factors which may be mixed. It requires…

High Energy Physics - Phenomenology · Physics 2009-10-31 Edward Boos , Thorsten Ohl

Recently, it has been shown that the minimum number of gauge invariant couplings for $B$-field, metric and dilaton at order $\alpha'^3$ is 872. These couplings, in a particular scheme, appear in 55 different structures. In this paper, up to…

High Energy Physics - Theory · Physics 2021-03-17 Mohammad R. Garousi

We consider the four-dimensional action of spinors minimally coupled to a $U(1)$-gauge field in an Riemann-Cartan background. In this theory, we integrate over the spinors and study the resulting one-loop gauge-gravity effective action,…

High Energy Physics - Theory · Physics 2025-10-23 J. R. Nascimento , M. Paganelly , A. Yu. Petrov , P. Porfirio

We propose a method which allows the generalization of the Landau lattice gauge-fixing procedure to generic covariant gauges. We report preliminary numerical results showing how the procedure works for $SU(2)$ and $SU(3)$. We also report…

High Energy Physics - Lattice · Physics 2009-10-28 L. Giusti

This paper gives general intrinsic theory of general large $N_{c}$ QCD, SU(3) QCD, SU(2) hadron-dynamics and U(1) QED gauge field theories in general field theory and progress towards solving the nucleon spin crisis, i.e., presents general…

Nuclear Theory · Physics 2016-07-27 C. Huang , Yong-Chang Huang , B. H. Zhou