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

Access to Document

10.1103/PhysRevD.107.106020

Leith_2023_PRD_Gravitationally-localized-states-fermions-Higgs-field_AAM
Copyright © 2023 Publisher / the Author(s). This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1103/PhysRevD.107.106020
Accepted author manuscript, 991 KB

https://arxiv.org/abs/2202.03228

Cite this

@article{cc71fa8ab5494504960b8a2bd38fe73a,

title = "Gravitationally localized states of two neutral fermions interacting with a Higgs field",

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.",

author = "Leith, \{Peter E. D.\} and Leggat, \{Alasdair Dorkenoo\} and Hooley, \{Chris A.\} and Keith Horne and Dritschel, \{David G.\}",

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.",

year = "2023",

month = may,

day = "30",

doi = "10.1103/PhysRevD.107.106020",

language = "English",

volume = "107",

journal = "Physical Review D",

issn = "2470-0010",

publisher = "American Physical Society",

number = "10",

}

TY - JOUR

T1 - Gravitationally localized states of two neutral fermions interacting with a Higgs field

AU - Leith, Peter E. D.

AU - Leggat, Alasdair Dorkenoo

AU - Hooley, Chris A.

AU - Horne, Keith

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.

PY - 2023/5/30

Y1 - 2023/5/30

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85161210660

U2 - 10.1103/PhysRevD.107.106020

DO - 10.1103/PhysRevD.107.106020

M3 - Article

SN - 2470-0010

VL - 107

JO - Physical Review D

JF - Physical Review D

IS - 10

M1 - 106020

ER -

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

Abstract

Access to Document

Other files and links

Fingerprint

Dirac solitons in general relativity: many-fermion states, singular solutions & the inclusion of a Higgs mechanism

Dirac solitons in general relativity and conformal gravity

Cite this

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

Abstract

Access to Document

Other files and links

Fingerprint

Student theses

Dirac solitons in general relativity: many-fermion states, singular solutions & the inclusion of a Higgs mechanism

Dirac solitons in general relativity and conformal gravity

Cite this