Fermion self-trapping in the optical geometry of Einstein-Dirac solitons

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

doi:10.1103/PhysRevD.101.106012

Fermion self-trapping in the optical geometry of Einstein-Dirac solitons

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

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

Abstract

We analyze gravitationally localized states of multiple fermions with high angular momenta, in the formalism introduced by Finster, Smoller, and Yau [Phys Rev. D 59, 104020 (1999)]. We show that the resulting solitonlike wave functions can be naturally interpreted in terms of a form of self-trapping, where the fermions become localized on shells the locations of which correspond to those of “bulges” in the optical geometry created by their own energy density.

Original language	English
Article number	106012
Number of pages	13
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	101
Issue number	10
Early online date	12 May 2020
DOIs	https://doi.org/10.1103/PhysRevD.101.106012
Publication status	Published - 15 May 2020

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Leith-2020-Fermion-self-trapping-PhysRevD-106012
Copyright © 2020 American Physical Society. 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 final published version of the work, which was originally published at https://doi.org/10.1103/PhysRevD.101.106012.
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Dirac solitons in general relativity: many-fermion states, singular solutions & the inclusion of a Higgs mechanism
Leith, P. E. D. (Author), Hooley, C. (Supervisor), Horne, K. D. (Supervisor) & Dritschel, D. G. (Supervisor), 12 Jun 2023
Student thesis: Doctoral Thesis (PhD)

Cite this

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title = "Fermion self-trapping in the optical geometry of Einstein-Dirac solitons",

abstract = "We analyze gravitationally localized states of multiple fermions with high angular momenta, in the formalism introduced by Finster, Smoller, and Yau [Phys Rev. D 59, 104020 (1999)]. We show that the resulting solitonlike wave functions can be naturally interpreted in terms of a form of self-trapping, where the fermions become localized on shells the locations of which correspond to those of “bulges” in the optical geometry created by their own energy density.",

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

note = "Funding: St Leonards scholarship from the University of St Andrews and from UKRI under EPSRC Grant No. EP/R513337/1 (P.E.D.L).",

year = "2020",

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doi = "10.1103/PhysRevD.101.106012",

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AU - Hooley, Chris A.

AU - Horne, Keith

AU - Dritschel, David G.

N1 - Funding: St Leonards scholarship from the University of St Andrews and from UKRI under EPSRC Grant No. EP/R513337/1 (P.E.D.L).

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AB - We analyze gravitationally localized states of multiple fermions with high angular momenta, in the formalism introduced by Finster, Smoller, and Yau [Phys Rev. D 59, 104020 (1999)]. We show that the resulting solitonlike wave functions can be naturally interpreted in terms of a form of self-trapping, where the fermions become localized on shells the locations of which correspond to those of “bulges” in the optical geometry created by their own energy density.

U2 - 10.1103/PhysRevD.101.106012

DO - 10.1103/PhysRevD.101.106012

M3 - Article

SN - 1550-7998

VL - 101

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 10

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ER -

Fermion self-trapping in the optical geometry of Einstein-Dirac solitons

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

Cite this