Summary
It is proved that field operators characteristic of ultralocal quantum-field theories do not possess conjugate partner fields fulfilling canonical commutation relations in the Weyl form. Our analysis, which is based on a study of the expectation functionals, eliminates any possible partners whatsoever, not only the ones suggested by dynamical considerations.
Riassunto
Si dimostra che gli operatori di campo caratteristici delle teorie di campo ultralocali quantistiche non possiedono campi compagni coniugati che soddisfano le relazioni di commutazione canoniche nella forma di Weyl. La nostra analisi, che è basata sullo studio dei funzionali di aspettazione, esclude qualsiasi possibile campo compagno, non solo quelli suggeriti da considerazioni dinamiche.
Резюме
Доказывается, что операторы поля, характерные для ультралокальных квантовых полевых теорий, не имеют сопряженных полей-партнеров, удовлетворяюших каноническим коммутационным соотношениям в форме Вейля. Наш анализ исключает, вообще, существование любых возможных партнеров, а не только тех, которые предполаются благодаря динамическим рассмотрениям.
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Traduzione a cura della Redazione.
Перевебено ребакцией.
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Hegerfeldt, G.C., Klauder, J.R. Fields without partners. Nuov Cim A 10, 723–738 (1972). https://doi.org/10.1007/BF02899772
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DOI: https://doi.org/10.1007/BF02899772