Refined algebraic quantisation in a system with nonconstant gauge invariant structure functions

DOI10.1063/1.4817485zbMath1284.81181arXiv1305.4424OpenAlexW3099223900MaRDI QIDQ5407628

Eric Martínez-Pascual

Publication date: 7 April 2014

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

Full work available at URL: https://arxiv.org/abs/1305.4424

Mathematics Subject Classification ID

Commutation relations and statistics as related to quantum mechanics (general) (81S05) Constrained dynamics, Dirac's theory of constraints (70H45)

Related Items

Alternative symplectic structures in second–class constrained systems

Cites Work

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• Constrained dynamics and quantum gravity
• Quantization and bosonic BRST theory
• Solving general gauge theories on inner product spaces
• On correspondence of BRST-BFV, Dirac, and refined algebraic quantizations of constrained systems
• Gauge fixing and abelianization in simple BRST quantization
• Proper BRST quantization of relativistic particles
• ON GROUP AVERAGING FOR SO(n, 1)
• Refined algebraic quantization in the oscillator representation of SL(2, ℝ)
• Constraint rescaling in refined algebraic quantisation: Momentum constraint
• On the quantization of reducible gauge systems
• Group averaging of massless scalar fields in 1 + 1 de Sitter
• A uniqueness theorem for constraint quantization
• On the generality of refined algebraic quantization
• Group averaging in the (p,q) oscillator representation of SL(2,R)
• Quantization of diffeomorphism invariant theories of connections with local degrees of freedom
• BRST quantization of gauge theories like SL(2,R) on inner product spaces
• Foundations of Quantum Mechanics
• Superselection sectors in the Ashtekar–Horowitz–Boulware model
• REFINED ALGEBRAIC QUANTIZATION WITH THE TRIANGULAR SUBGROUP OFSL(2, ℝ)
• Reduction, quantization, and nonunimodular groups
• Group averaging for de Sitter free fields