Summary
The phase diagram in the coupling constant in QED and its connection with the spontaneous chiral symmetry breaking are discussed. The mechanism of such a breaking connected with the collapse phenomenon is considered and a simple physical interpretation of the recent results of the computer simulations in lattice QED is given. The problem of the existence of the nontrivial continuum QED is analysed and, as a result, the following hypothesis is considered: in the Landau-Pomeranchuk-Fradkin « zero-charge » situation (the renormalization constantZ 3=0) theS-matrix of continuum QED with a fixed bare coupling constant,α (0)=α c∼1, is nontrivial. The physical content of such a hypothetical continuum theory is revealed.
Riassunto
Si discutono il diagramma di fase nella costante di accoppiamento in QED e la sua connessione con la rottura di simmetria chirale spontanea. Si considera il meccanismo di questa rottura connesso con il fenomeno di collasso e si fornisce una semplice interpretazione fisica dei risultati recenti delle simulazioni con il calcolatore nel QED del reticolo. Si analizza il problema dell’esistenza della QED non banale nel continuo e, come risultato, si considera l’ipotesi seguente: nella situazione «a carica zero» di Landau-Pomeranchuk-Fradkin (la costante di rinormalizzazioneZ 3=0) la matriceS della QED nel continuo con una costante di accoppiamento nuda fissata,α (0)=α c∼1 è non banale. Si rivela il contenuto fisico di questa teoria ipotetica nel continuo.
Реэюме
Обсуждается фаэовая диаграмма по константе свяэи в квантовой злектродинамике и ее свяэь со спонтанным нарущением киральной симметрии. Рассматривается механиэм такого нарущения, свяэанный с явлением коллапса. Предлагается простая фиэическая интерпретация недавних реэультатов моделирования на ЭВМ в рамках квантовой злектродинамики на рещетке. Аналиэируется проблема сушествования нетривиальной непрерывной квантовой злектродинамики. Рассматривается следуюшая гипотеэа: в случае « нулевого эаряда » Ландау-Поме-ранчук а-Фрадкина (постоянная перенормировкиZ 3=0)S-матрица непрерывной кван?товой злектродинамики с фиксированной голой постоянной свяэи,α (0)=α c∼1, является нетривиальной. Аналиэируется фиэический смысл такой гипотетической непрерывной теории.
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Miransky, V.A. Dynamics of spontaneous chiral symmetry breaking and the continuum limit in quantum electrodynamics. Nuov Cim A 90, 149–170 (1985). https://doi.org/10.1007/BF02724229
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DOI: https://doi.org/10.1007/BF02724229