Stability of nonlinear spinor fields with application to the Gross-Neveu model
- 15 October 1987
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 36 (8) , 2422-2428
- https://doi.org/10.1103/physrevd.36.2422
Abstract
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We show that the well-known relations existing between the different stability criteria for scalar field equations are no longer valid for spinor fields.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.Keywords
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