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On canonical and functional integral quantization of Yang-Mills theory

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Il Nuovo Cimento A (1965-1970)

Summary

The canonical and functional integral quantization of Yang-Mills theory is discussed. The gauge-fixing «weak» conditionsA 0a ≈0,A 3a ≈0 over phase space are found to be very convenient for any gauge group and in the presence of interactions. These conditions fix the gauge for arbitrary strong field and we obtain a description of Yang-Mills field in terms of physical degress of freedom only.

Riassunto

Si discute la quantizzazione canonica e dell’integrale funzionale della teoria di Yang e Mills. Si trova che le condizioni «deboli»A 0a ≈0,A 3a ≈0 che fissano la gauge sullo spazio delle fasi sono molto adatte per ogni gruppo di gauge e in presenza di interazioni. Queste condizioni fissano la gauge per campi forti arbitrari e otteniamo una descrizione dei campi di Yang e Mills in termini di gradi fisici di libertà solamente.

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Footnotes

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Srivastava, P.P. On canonical and functional integral quantization of Yang-Mills theory. Nuov Cim A 64, 259–268 (1981). https://doi.org/10.1007/BF02812372

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  • DOI: https://doi.org/10.1007/BF02812372

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