Peierls brackets in non-Lagrangian field theory

DOI10.1142/S0217751X14501577zbMath1303.70025arXiv1408.2329MaRDI QIDQ2940678

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Publication date: 20 January 2015

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.2329

zbMATH Keywords

Lagrange anchorPeierls bracketnon-Lagrangian dynamics

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Poisson manifolds; Poisson groupoids and algebroids (53D17) Deformation quantization, star products (53D55) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Algebraic geometry methods for problems in mechanics (70G55) More general nonquantum field theories in mechanics of particles and systems (70S20)

Related Items (2)

Local and gauge invariant observables in gravity ⋮ Green hyperbolic complexes on Lorentzian manifolds

Cites Work

• BRST analysis of general mechanical systems
• Local BRST cohomology in (non-)Lagrangian field theory
• Spacetime locality of the BRST formalism
• The generalized Peierls bracket
• New classical brackets for dissipative systems
• Covariant Poisson brackets in geometric field theory
• Deformation quantization of Poisson manifolds
• Local BRST cohomology in the antifield formalism. I: General theorems
• Rigid symmetries and conservation laws in non-Lagrangian field theory
• Covariant phase space, constraints, gauge and the Peierls formula
• The commutation laws of relativistic field theory
• SPINOR TWO-POINT FUNCTIONS AND PEIERLS BRACKET IN DE SITTER SPACE

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