ON THE STABILITY OF NONLINEAR SPINOR FIELDS WITH APPLICATION TO THE GROSS-NEVEU MODEL

Blanchard, P.; Stubbe, J.; Vazquez, L.

doi:10.1103/PhysRevD.36.2422

ON THE STABILITY OF NONLINEAR SPINOR FIELDS WITH APPLICATION TO THE GROSS-NEVEU MODEL

Jan, 1987

20 pages

Published in:

Phys.Rev.D 36 (1987) 2422

DOI:

10.1103/PhysRevD.36.2422

Report number:

BiBOS-235

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Abstract: (APS)

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We show that the well-known relations existing between the different stability criteria for scalar field equations are no longer valid for spinor fields.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.

FIELD THEORY: NONLINEAR
FERMION
FIELD EQUATIONS: SOLUTION
BOUND STATE
ENERGY
FIELD THEORY: DILATON
FIELD THEORY: TWO-DIMENSIONAL
FIELD THEORETICAL MODEL: GROSS-NEVEU
Thirring model
FIELD THEORY: FOUR-DIMENSIONAL

References(13)

Figures(0)

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