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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

We develop a technique for the construction of random fields on algebraic structures. We deal with two general situations: random fields on homogeneous spaces of a compact group and in the spin-line bundles of the 2-sphere. In particular,…

Probability · Mathematics 2015-01-29 Paolo Baldi , Maurizia Rossi

We examine the first-order Einstein-Cartan (EC) action in 2+1 dimensions, including a cosmological term and its supersymmetric extension. In this setting the spin connection can be expressed as an axial vector, yielding an action that is…

High Energy Physics - Theory · Physics 2026-01-16 D. G. C. McKeon , F. T. Brandt , J. Frenkel , S. Martins-Filho

We discuss gravity-like formulations of massive Abelian and non-Abelian gauge field theories in four space-time dimensions with particular emphasis on the issue of gauge invariance. Alternative descriptions in terms of antisymmetric tensor…

High Energy Physics - Theory · Physics 2007-05-23 Dennis D. Dietrich

We reconsider the gauge symmetries of the spinning particle by a direct examination of the Lagrangian using a systematic procedure based on the Noether identities. It proves possible to find a set of local Bosonic and Fermionic gauge…

High Energy Physics - Theory · Physics 2015-06-15 N. Kiriushcheva , S. V. Kuzmin , D. G. C. McKeon

We extend the results of Lagrangian formulations study to construct gauge-invariant Lagrangians for (ir)reducible integer higher-spin massless and massive representations of the Poincare group with a Young tableau…

High Energy Physics - Theory · Physics 2026-02-16 Alexander A. Reshetnyak , Julia V. Bogdanova , Vipul K. Pandey

The theory of freely-propagating massless higher spins is usually formulated via gauge fields and parameters subject to trace constraints. We summarize a proposal allowing to forego them by introducing only a pair of additional fields in…

High Energy Physics - Theory · Physics 2015-06-26 D. Francia , A. Sagnotti

In this Thesis we address the issue of consistent higher-spin interactions taking String Theory as a "theoretical laboratory". We thus arrive at a simple expression encompassing all three-point amplitudes for states belonging to the first…

High Energy Physics - Theory · Physics 2010-10-11 Massimo Taronna

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

Massive arbitrary spin totally symmetric free fermionic fields propagating in d-dimensional (Anti)-de Sitter space-time are investigated. Gauge invariant action and the corresponding gauge transformations for such fields are proposed. The…

High Energy Physics - Theory · Physics 2008-11-26 R. R. Metsaev

Studying the physics of compact objects in modified theories of gravity is important for understanding how future observations can test alternatives to General Relativity. We consider a subset of vector-tensor Galileon theories of gravity…

High Energy Physics - Theory · Physics 2018-02-14 Javier Chagoya , Gianmassimo Tasinato

We consider a matrix space based on the spin degree of freedom, describing both a Hilbert state space, and its corresponding symmetry operators. Under the requirement that the Lorentz symmetry be kept, at given dimension, scalar symmetries,…

High Energy Physics - Theory · Physics 2015-12-17 J. Besprosvany , R. Romero

In this paper, a gauge invariant description of massive higher spin bosonic and fermionic particles in frame-like Lagrangian and unfolded formalism in (A)dS${}_4$ is built. A complete set of gauge invariant object is also constructed and…

High Energy Physics - Theory · Physics 2019-10-01 M. V. Khabarov , Yu. M Zinoviev

Totally symmetric arbitrary spin massless and massive free fields in flat and AdS spaces and conformal fields in flat space are studied. Extended gauge invariant hamiltonian action for such fields is obtained. The action is constructed out…

High Energy Physics - Theory · Physics 2016-03-16 R. R. Metsaev

We study the possible covariant Lagrangians that describe the propagation of pure spin-3/2 particles. We show that, apart from the well-known Rarita-Schwinger Lagrangian, there is another possibility where the field is described by a…

High Energy Physics - Theory · Physics 2008-11-26 D. Blas

Light-cone gauge formulation of relativistic dynamics of a continuous-spin field propagating in the flat space is developed. Cubic interaction vertices of continuous-spin massless fields and totally symmetric arbitrary spin massive fields…

High Energy Physics - Theory · Physics 2018-01-17 R. R. Metsaev

In this paper, we review a general technique for converting the standard Lagrangian description of a classical system into a formulation that puts time on an equal footing with the system's degrees of freedom. We show how the resulting…

General Physics · Physics 2023-07-28 Jacob A. Barandes

If the Einstein-Hilbert action ${\cal L}_{\rm EH}\propto R$ is re-expressed in Riemann-Cartan spacetime using the gauge fields of translations, the vierbein field $h^\alpha{}_\mu$, and the gauge field of local Lorentz transformations, the…

General Relativity and Quantum Cosmology · Physics 2017-08-23 H. Kleinert

In the framework of causal perturbation theory we analyze the gauge structure of a massless self-interacting quantum tensor field. We look at this theory from a pure field theoretical point of view without assuming any geometrical aspect…

High Energy Physics - Theory · Physics 2007-05-23 G. Scharf , M. Wellmann

We present a Lagrangian formulation for 4d integer-spin relativistic fields in the 5d space spanned by two conjugate Weyl spinors and a Lorentz-invariant proper-time coordinate. We construct a manifestly Poincare-invariant free classical…

High Energy Physics - Theory · Physics 2023-01-06 N. G. Misuna