Non-Abelian conversion and quantization of nonscalar second-class constraints

DOI10.1063/1.1935430zbMath1110.53064arXivhep-th/0501097OpenAlexW3101420655MaRDI QIDQ3438505

M. A. Grigoriev, Igor A. Batalin, Simon L. Lyakhovich

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0501097

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55)

Related Items (7)

Hamiltonian and Lagrangian BRST quantization in Riemann manifold ⋮ General conversion method for constrained systems ⋮ Conversion of second-class constraints and resolving the zero-curvature conditions in the geometric quantization theory ⋮ Dualisation of free fields ⋮ Reducible Stueckelberg symmetry and dualities ⋮ Fedosov quantization of Lagrange–Finsler and Hamilton–Cartan spaces and Einstein gravity lifts on (co) tangent bundles ⋮ Hamiltonian and Lagrangian BRST quantization in Riemann manifold. II

Cites Work

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• Coisotropic submanifolds in Poisson geometry and branes in the Poisson sigma model
• Characteristic classes of gauge systems
• Star product for second-class constraint systems from a BRST theory
• Weak Dirac bracket construction and the superparticle covariant quantization problem
• EXISTENCE THEOREM FOR THE EFFECTIVE GAUGE ALGEBRA IN THE GENERALIZED CANONICAL FORMALISM WITH ABELIAN CONVERSION OF SECOND-CLASS CONSTRAINTS
• Generalized Poisson sigma models
• Fedosov deformation quantization as a BRST theory

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