Higher spin gauge theory

The currents of higher-spin fermion interactions with zero- and half-spin particles are derived. They can be used for the N*(J) ↔ Nπ-transitions (N*(J) is thenucleon resonance with the J spin). In accordance with the theorem on currents and fields, the spin-tensors of these currents are traceless, and their products with the γ-matrices and the higher-spin fermion momentum vanish, similarly to the field spin-tensors. Such currents are derived explicitly for J=3/2and 5/2. It is shown that, in the present approach, the scale dimension of a higher spin fermion propagator equals to –1 for any J ≥ 1/2. The calculations indicate that the off-mass-shell N* contributions to the s-channel amplitudes correspond to J = JπN only ( JπN is the total angular momentum of the πN-system). As contrast, in the usually exploited approaches, such non-zero amplitudes correspond to 1/2 ≤ JπN ≤ J. In particular, the usually exploited approaches give non-zero off-mass-shell contributions of the ∆(1232)-resonance to the amplitudes S31, P31( JπN = 1/2) and P33, D33(JπN = 3/2), but our approach – to P33 and D33 only. The comparison of these results with the data of the partial wave analysis on the S31-amplitude in the ∆(1232)-region shows the better agreement for the present approach.

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“…We consider these transitions in details. Using (13), the physical current of the J (p) → O (q 2 ) + 1 2 (p 2 ) transition can be written down as…”

Section: Model For Hsf Interactions With 0-and 1/2-spin Particlesmentioning

confidence: 99%

“…The 3 2 -spin states (fields) are studied theoretically better in comparison with the states of J > 3 2 (see, e.g., [6,7,11,12]). The investigations of another formalisms are in progress [13][14][15].…”

Section: Introductionmentioning

confidence: 99%

General Properties of Higher-Spin Fermion Interaction Currents and Their Test in πN-Scattering

Kulish

Rybachuk

2021

Ukr. J. Phys.

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“…Promising directions that were left out include: i) Asymptotic quantization, which brought out the interplay between the Bondi-Metzner-Sachs group and infrared issues in full quantum gravity [142]; ii) Twisor theory based programs for calculating scattering amplitudes from past to future null infinity, that are now drawing a great deal of attention [143]. Twistor theory itself has provided a powerful bridge between the theory of partial differential equations and algebraic geometry which extends to (self-dual) Einstein's equations through Penrose's non-linear graviton construction [144]; iii) The Regge calculus approach, which parallels lattice QCD, but uses dynamical simplicial decompositions rather than lattices defined in a background geometry [145]; iv) Hořava-Lifshitz gravity, which sacrifices manifest local Lorentz invariance to achieve better ultraviolet behavior, hoping to recover it in the infrared limit [146]; v) Causal sets, in which one postulates that at a fundamental level one only has a discrete set of points with causal relations between them [147]; and vi) The Vassiliev higher spin theories, in which an infinite tower of massless higher spin fields are incorporated in a consistent manner [148]. One or more of these ideas may well lead to an ultraviolet completion of GR with desired features.…”

Section: Current Statusmentioning

confidence: 99%

General Relativity and Gravitation: A Centennial Perspective

Ashtekar¹,

Berger²,

Isenberg³

et al. 2014

Preprint

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To commemorate the 100th anniversary of general relativity, the International Society on General Relativity and Gravitation (ISGRG) commissioned a Centennial Volume, edited by the authors of this article. We jointly wrote introductions to the four Parts of the Volume which are collected here. Our goal is to provide a bird's eye view of the advances that have been made especially during the last 35 years, i.e., since the publication of volumes commemorating Einstein's 100th birthday. The article also serves as a brief preview of the 12 invited chapters that contain in-depth reviews of these advances. The volume will be published by Cambridge University Press and released in June 2015 at a Centennial conference sponsored by ISGRG and the Topical Group of Gravitation of the American Physical Society.

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“…Fields of higher spin have been studied for a long time, started off by the work of Fronsdal [40] (see also de Wit and Freedman [24] for a very agreeable systematic exposition); it was soon realised that in flat space, there is no way of implementing a consistent interaction preserving unitarity. In more recent times, it has been shown by Vasiliev that on background spacetimes with nonzero constant curvature, an interaction can be constructed by using the inverse cosmological constant in the definition of the coupling constants [98,97,99]. In the limit of a flat space, the cosmological constant vanishes and the couplings are diverging.…”

Section: Holography Of the φ 4 -Modelmentioning

confidence: 99%

AdS/CFT Holography of the O(N)-symmetric $\phi^4$ Vector Model

Helmut¹

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Higher spin gauge theory

Cited by 7 publications

References 27 publications

General Properties of Higher-Spin Fermion Interaction Currents and Their Test in πN-Scattering

General Properties of Higher-Spin Fermion Interaction Currents and Their Test in πN-Scattering

General Relativity and Gravitation: A Centennial Perspective

AdS/CFT Holography of the O(N)-symmetric $\phi^4$ Vector Model

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