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Schwinger’s equation for one-body propagator of a selfcoupled spinor field

Journal Article · · Acta Physica Academiae Scientiarum Hungaricae
DOI:https://doi.org/10.1007/BF03158100· OSTI ID:4071358
The enormalization problems of the Thirring model, completed by a meson- fermion derivative coupling, was previously investigated, and the many-particle propagators originating from the derivative coupling were determined by means of a non perturbative treatment. The nonperturbative treatment of the self-coupled spinor field must still be considered. As a preliminary step the Schwinger equation of the one-body propagator was deduced by a nonperturbative method. The external source method was used. As the equation obtained shows some features which differ from those of the corresponding equations of quantum electrodynamics and meson theories, the Schwinger equation must be of the second order. (J.S.R.)
Research Organization:
Roland Eotvos Univ., Budapest, Hungary
Sponsoring Organization:
USDOE
NSA Number:
NSA-15-011797
OSTI ID:
4071358
Journal Information:
Acta Physica Academiae Scientiarum Hungaricae, Journal Name: Acta Physica Academiae Scientiarum Hungaricae Journal Issue: 2 Vol. 12; ISSN 0001-6705
Country of Publication:
Country unknown/Code not available
Language:
English