Virial theorem and stability of localized solutions of relativistic classical interacting fields

Research output: Contribution to journalArticle

32 Citations (Scopus)

Abstract

The properties of classical meson fields interacting with the Dirac field are considered in more detail analytically. We obtain a virial relation between the kinetic and potential energy of the interacting Dirac field. The stability of the classical solutions of the coupled fields constrained to the lowest particle solution of the Dirac equation in three space dimensions is investigated. A criterion allowing the determination of stability of Abelian meson fields in interaction with the Dirac field is given.

Original languageEnglish (US)
Pages (from-to)1890-1899
Number of pages10
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume16
Issue number6
DOIs
StatePublished - 1977
Externally publishedYes

Fingerprint

virial theorem
mesons
Dirac equation
kinetic energy
potential energy
interactions

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

@article{c8070419b1f84215ac901b0444e5c668,
title = "Virial theorem and stability of localized solutions of relativistic classical interacting fields",
abstract = "The properties of classical meson fields interacting with the Dirac field are considered in more detail analytically. We obtain a virial relation between the kinetic and potential energy of the interacting Dirac field. The stability of the classical solutions of the coupled fields constrained to the lowest particle solution of the Dirac equation in three space dimensions is investigated. A criterion allowing the determination of stability of Abelian meson fields in interaction with the Dirac field is given.",
author = "Johann Rafelski",
year = "1977",
doi = "10.1103/PhysRevD.16.1890",
language = "English (US)",
volume = "16",
pages = "1890--1899",
journal = "Physical review D: Particles and fields",
issn = "0556-2821",
publisher = "American Institute of Physics",
number = "6",

}

TY - JOUR

T1 - Virial theorem and stability of localized solutions of relativistic classical interacting fields

AU - Rafelski, Johann

PY - 1977

Y1 - 1977

N2 - The properties of classical meson fields interacting with the Dirac field are considered in more detail analytically. We obtain a virial relation between the kinetic and potential energy of the interacting Dirac field. The stability of the classical solutions of the coupled fields constrained to the lowest particle solution of the Dirac equation in three space dimensions is investigated. A criterion allowing the determination of stability of Abelian meson fields in interaction with the Dirac field is given.

AB - The properties of classical meson fields interacting with the Dirac field are considered in more detail analytically. We obtain a virial relation between the kinetic and potential energy of the interacting Dirac field. The stability of the classical solutions of the coupled fields constrained to the lowest particle solution of the Dirac equation in three space dimensions is investigated. A criterion allowing the determination of stability of Abelian meson fields in interaction with the Dirac field is given.

UR - http://www.scopus.com/inward/record.url?scp=20544446186&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=20544446186&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.16.1890

DO - 10.1103/PhysRevD.16.1890

M3 - Article

AN - SCOPUS:20544446186

VL - 16

SP - 1890

EP - 1899

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 6

ER -