Gravitationally localized states of two neutral fermions interacting with a Higgs field

Peter E. D. Leith; Alasdair Dorkenoo Leggat; Chris A. Hooley; Keith Horne; David G. Dritschel

doi:10.1103/PhysRevD.107.106020

Gravitationally localized states of two neutral fermions interacting with a Higgs field

Peter E. D. Leith, Alasdair Dorkenoo Leggat, Chris A. Hooley, Keith Horne, David G. Dritschel

Research output: Contribution to journal › Article › peer-review

Abstract

We present localized “particlelike” states composed of a pair of neutral fermions interacting with a scalar Higgs field and the metric of spacetime, extending the Einstein-Dirac formalism introduced by Finster et al. [Particlelike solutions of the Einstein-Dirac equations, Phys. Rev. D 59, 104020 (1999)]. We demonstrate that, when the coupling between the fermions and the Higgs field is strong, there is a class of states in which the total (ADM) mass no longer increases proportionally to the mass of the constituent fermions; indeed it decreases. This phenomenon enables fermionic particles with much larger masses than in the Higgs-free case to form localized states.

Original language	English
Article number	106020
Number of pages	13
Journal	Physical Review D
Volume	107
Issue number	10
DOIs	https://doi.org/10.1103/PhysRevD.107.106020
Publication status	Published - 30 May 2023

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https://arxiv.org/abs/2202.03228

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abstract = "We present localized “particlelike” states composed of a pair of neutral fermions interacting with a scalar Higgs field and the metric of spacetime, extending the Einstein-Dirac formalism introduced by Finster et al. [Particlelike solutions of the Einstein-Dirac equations, Phys. Rev. D 59, 104020 (1999)]. We demonstrate that, when the coupling between the fermions and the Higgs field is strong, there is a class of states in which the total (ADM) mass no longer increases proportionally to the mass of the constituent fermions; indeed it decreases. This phenomenon enables fermionic particles with much larger masses than in the Higgs-free case to form localized states.",

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note = "Funding: P. E. D. L. acknowledges funding from a St. Leonards scholarship from the University of St. Andrews and from UKRI under EPSRC Grant No. EP/R513337/1. A. D. L. is grateful for financial support from the EPSRC (UK) under Grant No. EP/L505079/1.",

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AU - Dritschel, David G.

N1 - Funding: P. E. D. L. acknowledges funding from a St. Leonards scholarship from the University of St. Andrews and from UKRI under EPSRC Grant No. EP/R513337/1. A. D. L. is grateful for financial support from the EPSRC (UK) under Grant No. EP/L505079/1.

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Gravitationally localized states of two neutral fermions interacting with a Higgs field

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