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

Journal Article · Thu Sep 15 04:00:00 EDT 1977 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.16.1890· OSTI ID:5430205

Rafelski, J

The properties of classical meson fields interacting with the Dirac field are considered in more detail analytically. We obtain a virial relation between the kinematic 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.

• Research Organization: Argonne National Laboratory, Argonne, Illinois 60439
• OSTI ID: 5430205
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 16:6; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CLASSICAL MECHANICS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
EIGENFUNCTIONS
EIGENSTATES
ELEMENTARY PARTICLES
ENERGY
EQUATIONS
FIELD THEORIES
FUNCTIONS
HADRONS
KINETIC ENERGY
MECHANICS
MESONS
SPINORS
VIRIAL THEOREM
WAVE EQUATIONS