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ÊÀÍÎÍÈ×ÅÑÊÎÅ ÊÂÀÍÒÎÂÀÍÈÅ ÊÀËÈÁÐÎÂÎ×ÍÛÕ ÒÅÎÐÈÉ ÑÎ ÑÊÀËßÐÍÛÌ ÊÎÍÄÅÍÑÀÒÎÌ È ÏÐÎÁËÅÌÀ ÑÏÎÍÒÀÍÍÎÃÎ ÍÀÐÓØÅÍÈß ÑÈÌÌÅÒÐÈÈ

Â. Â. Âëàñîâ, Â. À. Ìàòâååâ, À. Í. Òàâõåëèäçå, Ñ. Þ. Õëåáíèêîâ, Ì. Å. Øàïîøíèêîâ

Èíñòèòóò ÿäåðíûõ èññëåäîâàíèé ÀÍ ÑÑÑÐ, Ìîñêâà

 ðàìêàõ êàíîíè÷åñêîãî êâàíòîâàíèÿ ðàññìîòðåí âîïðîñ î ïîñòðîåíèè ôèçè÷åñêèõ ïåðåìåííûõ â êàëèáðîâî÷íûõ òåîðèÿõ. Ïîêàçàíî, ÷òî ïîñëåäîâàòåëüíîå ðàññìîòðåíèå òðåáóåò çàäàíèÿ êëàññà ôóíêöèé äëÿ ëàãðàíæåâà ìíîæèòåëÿ A0 - âðåìåííîé êîìïîíåíòû âåêòîð-ïîòåíöèàëà.  òåîðèÿõ ñ íåòðèâèàëüíûì ìèíèìóìîì ñêàëÿðíîãî ïîòåíöèàëà âûðîæäåíèå âàêóóìà âîçìîæíî òîëüêî ïðè îïðåäåëåííûõ îãðàíè÷åíèÿõ íà A0. Îäíàêî ýòî âûðîæäåíèå íå èìååò íèêàêîãî îòíîøåíèÿ ê ïîÿâëåíèþ ìàññû âåêòîðíûõ áîçîíîâ è âîîáùå íèêàê íå ïðîÿâëÿåòñÿ â òåîðèè âîçìóùåíèé.  íåàáåëåâûõ òåîðèÿõ ó÷åò ãðàíè÷íûõ óñëîâèé äëÿ A0 íåîáõîäèì äëÿ âûÿñíåíèÿ ðåàëèçàöèè àëãåáðû ãëîáàëüíûõ çàðÿäîâ.

In the framework of canonical quantization we discuss the construction of physical quantities in gauge theories. It is shown that to treat the problem consistently one needs first to specify the A0 - timelike component of vector potential. There are just the certain restrictions on A0 functions that may give rise to the vacuum degeneracy in the theories with non-trivial minimum of the scalar potential. However, this degeneracy has nothing to do with the vector boson mass generation and, besides, never reveals itself in the perturbation theory. In non-Abelian theories the boundary conditions on A0 are to be carefully taken into account when the realization of global charges algebra on physical states is studied.

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