Field theory in SUq(2)

DOI10.1063/1.533205zbMath0973.81126OpenAlexW1595812666MaRDI QIDQ2737889

P. N. Bibikov

Publication date: 30 August 2001

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

Full work available at URL: https://doi.org/10.1063/1.533205

zbMATH Keywords

Dirac fieldscalar fieldLagrangiansnoncommutative differential calculusadditional spin 0 gauge fielddeformed equations

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Yang-Mills and other gauge theories in quantum field theory (81T13) Noncommutative geometry methods in quantum field theory (81T75) Infinite-dimensional manifolds (58B99)

Cites Work

• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Poisson manifolds and the Schouten bracket
• Bicovariant differential calculi on \(S_ \mu U(2)\)
• Differential calculus on compact matrix pseudogroups (quantum groups)
• Spinor analysis for quantum group SU_q(2)

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