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Sourceless static Yang-Mills systems

Статические системы Янга-Милчса без источников

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Il Nuovo Cimento B (1971-1996)

Summary

Kalb’s ansatz for static Yang-Mills systems was recently investigated by Morris in the case of vanishing external sources, and a radially symmetric solution was found by him which represents a point magnetic monopole with a unit magnetic charge. This solution is compared to the monopole solution previously obtained by Carmeli which includes both electric and magnetic parts, and the conditions under which each of the above solutions goes to the other one are give. These solutions seem to solve the ’t Hooft-Polyakov ansatz for the spontaneously broken Georgi-Glashow model in the limit of vanishing Higgs fields.

Riassunto

L’assunto di Kalp per i sistemi statici di Yang-Mills è stato recentemente studiato da Morris nel caso di fonti esterne che si annullano, ed è stata trovata da quest’ultimo una soluzione con simmetria radiale che rappresenta un monopolo magnetico puntiforme con una carica magnetica unitaria. Si confronta questa soluzione con la soluzione del monopolo ottenuta precedentemente da Carmeli che include sia la parte elettrica che quella magnetica e si danno le condizioni in base alle quali ciascuna soluzione tende all’altra. Queste soluzioni sembrano risolvere l’assunto di ’t Hooft-Polyakov per il modello di Georgi-Glashow spontaneamente violato al limite in cui si annullano i campi di Higgs.

Резюме

Приближение Калба для статических систем Янга-Миллса недавно было исследовано Моррисом в случае исчезающе малых внешних источников. Им было получено радиально симметричное решение, которое представляет точечный магнитный монополь с единичным магнитным зарядом. Это рещение сравнивается с монопольным решением, ранее полученным Кармели, которое включает электрическую и магнитную части. Приводятся условия, при которых каждое из вышеуказанных решений переходит в другое решение. Эти решения, по-видимому, решаются в приближении ’т Хуфта-Полякова для спонтанно нарушенной модели джорджи-Глашоу в пределе исчезающе малых полей Хиггса.

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References

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Cameli, M., Huleihil, K. Sourceless static Yang-Mills systems. Nuov Cim B 67, 21–30 (1982). https://doi.org/10.1007/BF02721067

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  • DOI: https://doi.org/10.1007/BF02721067

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