Summary
Using explicit co-ordinates, we display the Faddeev-Popov ghost field as the difference between the vertical, globally defined, connection of a principal fibre bundle and the gauge-dependent Yang-Mills field. We identify the Cartan-Maurer fibration conditions with the Becchi-Rouet-Stora equations and define generalized gauge transformations.
Riassunto
Per mezzo di coordinate esplicite si spiega il campo spettrale di Faddeev-Popov come differenza tra la connessione verticale, globalmente definita tra un fascio di fibre principale e il campo di Yang-Mills dipendente dal gauge. Si identificano le condizioni della fibrazione di Cartan-Maurer con le equazioni di Becchi-Ronet-Stora e si definiscono le trasformazioni generalizzate di gauge.
Реэюме
Испольэуя явные координаты, мы представляем поле «духа» Фаддеева-Попова, как раэность между вертикальной, глобально определенной, свяэью главного семейства нитей и полем Янга-Миллса, эависяшим от калибровки. Мы идентифицируем условия Картана-Маурера с уравнениями Бекки-Руз-Стора и определяем обобшенные калибровочные преобраэования.
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Publication supported by the U.S. Department of Energy under Contract No. EY76-C-03-0068.
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Thierry-Mieg, J. Explicit classical construction of the Faddeev-Popov ghost field. Nuov Cim A 56, 396–404 (1980). https://doi.org/10.1007/BF02732091
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DOI: https://doi.org/10.1007/BF02732091