Canonical quantization of Galilean covariant field theories

DOI10.1016/j.aop.2005.04.013zbMath1086.81076OpenAlexW1996843468MaRDI QIDQ2575049

Yanyan Li

Publication date: 5 December 2005

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

Full work available at URL: https://doi.org/10.1016/j.aop.2005.04.013

zbMATH Keywords

scatteringsymmetriesDirac equationProca fieldCoulomb interactionGalilei invarianceLévy-Leblond equations

Mathematics Subject Classification ID

Model quantum field theories (81T10) Quantization in field theory; cohomological methods (81T70) Axiomatic quantum field theory; operator algebras (81T05) Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50)

Related Items (3)

Galilean covariant effective theory for bound states of heavy mesons ⋮ Path-integral quantization of Galilean fermi fields ⋮ The Schrödinger and Pauli-Dirac oscillators in noncommutative phase space

Cites Work

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• Nonrelativistic wave equations with gauge fields
• Galilei-covariant path-integral quantization of non-relativistic complex scalar fields.
• Poincaré gauge theory and Galilean covariance
• Nonrelativistic particles and wave equations
• Reduction of the representations of the generalised Poincare algebra by the Galilei algebra
• Lorentz-like covariant equations of non-relativistic fluids
• Galilean covariant Lagrangian models
• Galilei Group and Nonrelativistic Quantum Mechanics
• Relativistic Chaplygin gas with field-dependent Poincaré symmetry

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