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We give a brief overview of the BRST approach to the gauge invariant Lagrangian formulation for free massive higher-spin bosonic fields focusing on two specific aspects. First, the theory is considered in four dimensional flat space in…

High Energy Physics - Theory · Physics 2025-05-19 I. L. Buchbinder , S. A. Fedoruk , V. A. Krykhtin

We propose and quantize a local, covariant gauge-field action that unifies the description of all free helicity and continuous-spin degrees of freedom in a simple manner. This is the first field-theory action of any kind for continuous spin…

High Energy Physics - Theory · Physics 2013-11-05 Philip Schuster , Natalia Toro

We point out that the Rashba and Dresselhaus spin-orbit interactions in two dimensions can be regarded as a Yang-Mills non-Abelian gauge field. The physical field generated by the gauge field gives the electron wave function a…

Quantum Physics · Physics 2008-11-26 Naomichi Hatano , Ryoen Shirasaki , Hiroaki Nakamura

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

We develop the BRST approach to construct the general off-shell local Lorentz covariant cubic interaction vertices for irreducible massless and massive higher spin fields on $d$-dimensional Minkowski space. We consider two different cases…

High Energy Physics - Theory · Physics 2024-09-04 Ioseph L. Buchbinder , Alexander A. Reshetnyak

Effective Lagrangians containing arbitrary interactions of massive vector fields are quantized within the Hamiltonian path integral formalism. It is proven that correct Hamiltonian quantization of these models yields the same result as…

High Energy Physics - Phenomenology · Physics 2009-10-22 Carsten Grosse-Knetter

We attempt to evaluate the effective Lagrangian for a classical background field interacting with the vacuum of two quantum fields. The integration of one of the quantum fields in general leads to a non-local term in the effective…

High Energy Physics - Theory · Physics 2007-05-23 K. V. Shajesh

We present a simple group representation analysis of massive, and particularly ``partially massless'', fields of arbitrary spin in de Sitter spaces of any dimension. The method uses bulk to boundary propagators to relate these fields to…

High Energy Physics - Theory · Physics 2008-11-26 S. Deser , A. Waldron

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

We provide a Lagrangian formulation of \Nf supersymmetric mechanics describing the motion of an isospin carrying particle on conformal to hyper-K\"{a}hler spaces in a non-Abelian background gauge field. In two examples we discuss in…

High Energy Physics - Theory · Physics 2011-11-30 Stefano Bellucci , Sergey Krivonos , Anton Sutulin

Using BRST-BV approach, massless and massive continuous-spin fields propagating in the flat space are studied. For such fields, BRST-BV gauge invariant Lagrangian is obtained. The Lagrangian and gauge transformations are constructed out of…

High Energy Physics - Theory · Physics 2018-06-05 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

Augmentations to the Euler-Heisenberg Lagrangian (QED one-loop effective action in homogeneous electromagnetic fields) under a constant background axial gauge are examined. Two special configurations admit an exact eigendecomposition, and…

High Energy Physics - Theory · Physics 2023-03-22 Patrick Copinger , Koichi Hattori , Di-Lun Yang

We revisit the problem of building consistent interactions for a multiplet of partially massless spin-2 fields in (anti-)de Sitter space. After rederiving and strengthening the existing no-go result on the impossibility of Yang-Mills type…

High Energy Physics - Theory · Physics 2020-02-26 Nicolas Boulanger , Cédric Deffayet , Sebastian Garcia-Saenz , Lucas Traina

Conformal fields in flat space-time of even dimension greater than or equal to four are studied. Second-derivative formulation for spin 0,1,2 conformal bosonic fields and first-derivative formulation for spin 1/2,3/2 conformal fermionic…

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

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

It has been shown for low-spin fields that the use of only the self-dual part of the connection as basic variable does not lead to spurious equations or inconsistencies. We slightly generalize the form of the chiral Lagrangian of…

General Relativity and Quantum Cosmology · Physics 2016-08-31 M. Tsuda , T. Shirafuji , H. -J. Xie

We present two methods for deriving the equations of motion for charged massive spin-3/2 particles. The first approach involves utilizing the Euler-Lagrange equations derived from a Lagrangian that describes the propagation of the first…

High Energy Physics - Theory · Physics 2024-06-14 Karim Benakli , Wenqi Ke , Bruno Le Floch

Linear vector waves, both quantum and classical, experience polarization-driven bending of ray trajectories and polarization dynamics that can be interpreted as the precession of the "wave spin". Both phenomena are governed by an effective…

Plasma Physics · Physics 2015-12-11 D. E. Ruiz , I. Y. Dodin

Dynamics of quantized free fields ( of spin 0 and 1/2 ) contained in a subspace $V_*$ of an N+4 dimensional flat space $V$ is studied. The space $V_*$ is considered as a neighborhood of a four dimensional submanifold $M$ arbitrarily…

High Energy Physics - Theory · Physics 2009-10-22 Toshiki Isse