Summary
The amplification of the space-time symmetry of nonlinear spinor theory culminates in a conformally covariant self-interacting spinor theory. Auxiliary equations are formulated which bring to light dynamical and topological features underlying the emergence of intrinsic nonlinear field patterns as a collaborative effect of higher symmetry. The existence of sets of classical solutions might have import for the corresponding quantum field theory.
Riassunto
L'ampliamento della simmetria dello spazio-tempo delle teorie spinoriali non lineari culmina in una teoria spinoriale autointeragente invariante conforme. Si formulano equazioni ausiliarie che evidenziano caratteristiche dinamiche e topologiche che sottolineano l'emergere di andamenti del campo intrinseci non lineari come effetto collaborativo di una simmetria più elevata. L'esistenza di insiemi di soluzioni classiche può avere importanza per la corrispondente teoria quantica dei campi.
Резюме
Усиление симметрии пространства-времени нелинейной спинорной теории достигает апогея в конформно ковариантной само-взаимодействующей спинорной теории. Формулируются вспомогательные уравнения, которые проливают свет на динамические и топологические особенности, лежащие в основе внутреннего нелинейного поля. Сушествование системы классических решений может иметь важное значение для соответствующей квантовой теории поля.
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Du, P., van der Merwe, T. Space-time symmetries and nonlinear field theory. Nuov Cim A 60, 247–264 (1980). https://doi.org/10.1007/BF02902461
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DOI: https://doi.org/10.1007/BF02902461