Summary
Pure fermion models are considered. The method of the collective boson fields to integrate Berezin-type integral over fermion fields is used. The soliton solutions of the classical fermion field equations is than used to calculate in semi-classical approximation fermion Green's functions. The singularities of the Green's functions form in the plane mass-squared-spin linear trajectories which were numerically calculated for three models.
Riassunto
Si considerano i modelli fermionici puri. Si usa il metodo dei campi bosonici collettivi per integrare l'integrale del tipo di Berezin sui campi fermionici. Si usa quindi la soluzione solitonica delle equazioni fermioniche classiche dei campi per calcolare nell'approssimazione semi-classica le funzioni fermioniche di Green. Le singolarità delle funzioni di Grean formano nel piano massa al quadrato-spin traiettorie lineari che sono state calcolate numericamente per tre modelli.
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Kraśkiewicz, J., Rączka, R. Trajectories of excited fermion states in pure fermion models of quantum field theory. Nuov Cim A 93, 28–38 (1986). https://doi.org/10.1007/BF02773439
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DOI: https://doi.org/10.1007/BF02773439