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This article is cited in 1 scientific paper (total in 1 paper)
Conversion of second-class constraints and resolving the zero-curvature conditions in the geometric quantization theory
I. A. Batalina, P. M. Lavrovb a Lebedev Physical Institute, RAS, Moscow, Russia
b Tomsk State Pedagogical University, Tomsk, Russia
Abstract:
In the approach to geometric quantization based on the conversion of second-class constraints, we resolve the corresponding nonlinear zero-curvature conditions for the extended symplectic potential. From the zero-curvature conditions, we deduce new linear equations for the extended symplectic potential. We show that solutions of the new linear equations also satisfy the zero-curvature condition. We present a functional solution of these new linear equations and obtain the corresponding path integral representation. We investigate the general case of a phase superspace where boson and fermion coordinates are present on an equal basis.
Keywords:
symplectic potential, second-class constraint, conversion method.
Received: 17.07.2015
Citation:
I. A. Batalin, P. M. Lavrov, “Conversion of second-class constraints and resolving the zero-curvature conditions in the geometric quantization theory”, TMF, 187:2 (2016), 200–212; Theoret. and Math. Phys., 187:2 (2016), 621–632
Linking options:
https://www.mathnet.ru/eng/tmf9007https://doi.org/10.4213/tmf9007 https://www.mathnet.ru/eng/tmf/v187/i2/p200
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Abstract page: | 281 | Full-text PDF : | 130 | References: | 49 | First page: | 18 |
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