Stability of nonlinear spinor fields with application to the Gross-Neveu model

Journal Article · Thu Oct 15 04:00:00 EDT 1987 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.36.2422· OSTI ID:6145188

Blanchard, P; Stubbe, J; Va-grave-accentzquez, L

We consider the stability problem for the localized solutions of classical nonlinear spinor fields in space dimensions N = 1 and N = 3 within the framework of the Shatah-Strauss formalism. We show that the well-known relations existing between the different stability criteria for scalar field equations are no longer valid for spinor fields. We discuss the application of the Shatah-Strauss formalism to several models: e.g., the Gross-Neveu, Thirring, and the Soler models.

• Research Organization: Research Center, Bielefeld-Bochum-Stochastic, University of Bielefeld, D-4800 Bielefeld 1, Federal Republic of Germany
• OSTI ID: 6145188
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 36:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUND STATE
CLASSICAL MECHANICS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
EIGENVALUES
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
KLEIN-GORDON EQUATION
LAGRANGIAN FIELD THEORY
MECHANICS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
QUANTUM FIELD THEORY
SCALAR FIELDS
SPINOR FIELDS
STABILITY
THIRRING MODEL
WAVE EQUATIONS