Summary
The connection between Schwinger's proper-time and Feynman's path integral methods is exploited in order to obtain a space-time description of spontaneous pair creation in an external field. The relevance of classical closed trajectories in Euclidean space-time and the connection with the tunnel effect of nonrelativistic quantum mechanics are discussed.
Riassunto
Si esamina la connessione tra il metodo di Schwinger del tempo proprio e quello di Feynman dell'integrazione sui percorsi al fine di ottenere una descrizione spazio-temporale del processo di creazione spontanea di coppie in un campo esterno. Si discute l'analogia con l'effetto tunnel della meccanica quantistica non relativistica e si mette in evidenza l'importanza delle traiettorie class'che chiuse nello spazio-tempo euclideo.
Резюме
Чтобы получить пространственно-временное описание спонтанного образования пар во внешнем поле, используется связь между собственным временем Швингера и фейнмановским методом интегрирования по траекториям. Обсуждаются важность классических замкнутых траекторий в эвклидовом пространстве-времени и аналогия с туннельным эффектом нерелятивистской квантовой механики.
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References
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Catara, F., Consoli, M. & Eberle, E. Spontaneous pair creation in an electric field: A space-time analysis. Il Nuovo Cimento B 70, 45–54 (1982). https://doi.org/10.1007/BF02814010
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DOI: https://doi.org/10.1007/BF02814010