Symplectic Dirac–Kähler fields

DOI10.1063/1.533048zbMath0968.81037arXivhep-th/9910085OpenAlexW2034822203MaRDI QIDQ4498468

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Publication date: 16 August 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/9910085

zbMATH Keywords

symplectic geometryquantizationDirac spinorinhomogeneous differential formsspace-time fermionsgauge theory formulationlattice fermion problem

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on curved space or space-time backgrounds (81T20) Geometry and quantization, symplectic methods (81S10) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Applications of PDEs on manifolds (58J90) Spin and Spin({}^c) geometry (53C27) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items (6)

The orthogonal branching problem for symplectic monogenics ⋮ New representation of Dirac-Yang-Mills equations ⋮ Complex of twistor operators in symplectic spin geometry ⋮ Classification of 1st order symplectic spinor operators over contact projective geometries ⋮ Structure of the curvature tensor on symplectic spinors ⋮ On the chirality of a discrete Dirac-Kähler equation

Cites Work

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• Parity operator and quantization of \(\delta\)-functions
• Particle spin dynamics as the Grassmann variant of classical mechanics
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• Homogeneous Fedosov star products on cotangent bundles. I: Weyl and standard ordering with differential operator representation
• Basic properties of symplectic Dirac operators
• BFV quantization on Hermitian symmetric spaces
• QUANTUM-DEFORMED CANONICAL TRANSFORMATIONS, W_∞ ALGEBRAS AND UNITARY TRANSFORMATIONS
• METAPLECTIC SPINOR FIELDS AND GLOBAL ANOMALIES
• QUANTUM MECHANICS AS A GAUGE THEORY OF METAPLECTIC SPINOR FIELDS
• Metaplectic spinor fields on phase space: A path integral approach
• Can we look at the quantisation rules as constraints?

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