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This article is cited in 1 scientific paper (total in 1 paper)
Associativity and Operator Hamiltonian Quantization of Gauge Theories
I. A. Batalina, A. M. Semikhatov a P. N. Lebedev Physical Institute, Russian Academy of Sciences
Abstract:
We show that the associative algebra structure can be incorporated in the BRST quantization formalism for gauge theories such that extension from the corresponding Lie algebra to the associative algebra is achieved using operator quantization of reducible gauge theories. The BRST differential that encodes the associativity of the algebra multiplication is constructed as a quadratic second-order differential operator on the bar resolution.
Keywords:
associative algebras, BRST differential, bar resolution, noncommutative differential forms.
Received: 19.01.2003
Citation:
I. A. Batalin, A. M. Semikhatov, “Associativity and Operator Hamiltonian Quantization of Gauge Theories”, TMF, 136:3 (2003), 339–364; Theoret. and Math. Phys., 136:3 (2003), 1189–1211
Linking options:
https://www.mathnet.ru/eng/tmf229https://doi.org/10.4213/tmf229 https://www.mathnet.ru/eng/tmf/v136/i3/p339
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Abstract page: | 405 | Full-text PDF : | 228 | References: | 41 | First page: | 1 |
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