Erratum: Gauged twistor formulation of a massive spinning particle in four dimensions [Phys. Rev. D<b>93</b>, 045016 (2016)]

Deguchi, Shinichi; Okano, Satoshi

doi:10.1103/physrevd.93.089906

Cited by 3 publications

(4 citation statements)

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“…For these authors, quantization via a worldline Lagrangian approach was used leading to studies of the spectrum of such twistor particle models, often incorporating supersymmetry. Two-twistor particle models include [8,9,22], see also [23,24] for more recent studies that have a good number of references to the evolution of the subject, including [26,27]. 1 Such worldline actions are a stepping stone to ambitwistor-string formulations.…”

Section: Introductionmentioning

confidence: 99%

“…Note also a two-twistor model along the lines of an ambitwistor string[40,41], but focussed on massless particles.2 More generally, n-twistor descriptions were considered with symmetry groups containing SU(n); in the twistor particle programme, particle multiplets were to be understood via the representation theory of such internal symmetry groups. The quantization of massive worldline models based on these descriptions has been studied by a number of authors, see[23,50] and references therein.…”

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confidence: 99%

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From Twistor-Particle Models to Massive Amplitudes

Albonico¹,

Geyer²,

Mason³

2022

SIGMA

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In his twistor-particle programme of the 1970's, Roger Penrose introduced a representation of the massive particle phase space in terms of a pair of twistors subject to an internal symmetry group. Here we use this representation to introduce a chiral string whose target is a complexification of this space, extended so as to incorporate supersymmetry. We show that the gauge anomalies associated to the internal symmetry group vanish only for maximal supersymmetry, and that correlators in these string models describe amplitudes involving massive particles with manifest supersymmetry. The models and amplitude formulae exhibit a double copy structure from gauge theory on the Coulomb branch to gravity, although the graviton remains massless. The formulae are closely related to those obtained earlier by the authors expressed in terms of the polarised scattering equations.

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Section: Introductionmentioning

confidence: 99%

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confidence: 99%

From Twistor-Particle Models to Massive Amplitudes

Albonico¹,

Geyer²,

Mason³

2022

SIGMA

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“…Such differential-geometric mass generation method is analogous to that proposed in [96]. The latest results in this direction can be found in [98].…”

Section: Hadamard Triviality and Mass Generation Panoramic Viewmentioning

confidence: 91%

“…read section 2)) the notion of mass should be linked with the De Broglie relation. Its actual value is controlled by the rigidity of world lines [97], [98] 28 .…”

Section: Hadamard Triviality and Mass Generation Panoramic Viewmentioning

confidence: 99%

Huygens triviality of the time-independent Schrödinger equation. Applications to atomic and high energy physics

Kholodenko,

Kauffman

2017

Preprint

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Huygens triviality-a concept invented by Jacques Hadamard-describes an equivalence class connecting those 2nd order partial differential equations which are transformable into the wave equation. In this work it is demonstrated, that the Schrödinger equation with the time-independent Hamiltonian belongs to such an equivalence class. The wave equation is the equation for which Huygens' principle (HP) holds. The HP was a subject of confusion in both physics and mathematics literature for a long time. Not surprisingly, the role of this principle was obscured from the beginnings of quantum mechanics causing some theoretical and experimental misunderstandings. The purpose of this work is to bring the full clarity into this topic. By doing so, we obtained a large amount of new results related to uses of Lie sphere geometry, of twistors, of Dupin cyclides, of null electromagnetic fields, of AdS-CFT correspondence, of Penrose limits, of geometric algebra, etc. in physical problems ranging from the atomic to high energy physics and cosmology.

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