On second quantization on noncommutative spaces with twisted symmetries

DOI10.1088/1751-8113/43/15/155401zbMath1192.81323arXiv0811.0773OpenAlexW2002949893MaRDI QIDQ3558097

Gaetano Fiore

Publication date: 29 April 2010

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

Full work available at URL: https://arxiv.org/abs/0811.0773

zbMATH Keywords

second quantizationcohomological methodsquantization in field theorytwisted Hopf algebranoncommutative geometry methods\(*\)-deformationfield theory on Moyal spaces

Mathematics Subject Classification ID

Quantization in field theory; cohomological methods (81T70) Noncommutative geometry methods in quantum field theory (81T75) Deformation quantization, star products (53D55) Deformations of associative rings (16S80) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Hopf algebras and their applications (16T05)

Related Items (7)

BRAIDED FIELD QUANTIZATION FROM QUANTUM POINCARÉ COVARIANCE ⋮ On quantum mechanics with a magnetic field on \(\mathbb R^n\) and on a torus \(\mathbb T^n\), and their relation ⋮ Twisted bialgebroids versus bialgebroids from a Drinfeld twist ⋮ Twisted quadrics and algebraic submanifolds in \(\mathbb{R}^n\) ⋮ Twisted submanifolds of \(\mathbb{R}^n\) ⋮ Interpolations between Jordanian twists induced by coboundary twists ⋮ Class of invariants for the two-dimensional time-dependent Landau problem and harmonic oscillator in a magnetic field

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