Galilean symmetry in noncommutative field theory

DOI10.1016/S0370-2693(03)00704-4zbMath1034.81047arXivhep-th/0304215OpenAlexW3103085291MaRDI QIDQ1811487

Luigi Martina, Peter A. Horvathy, Peter C. Stichel

Publication date: 11 June 2003

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0304215

zbMATH Keywords

conformal symmetry breakingMoyal field theoryreordered interaction potential

Mathematics Subject Classification ID

Symmetry breaking in quantum theory (81R40) Noncommutative geometry methods in quantum field theory (81T75)

Related Items (11)

Symmetries of field theories on the noncommutative plane ⋮ Nonrelativistic anyons in external electromagnetic field ⋮ Dirac oscillator in a Galilean covariant non-commutative space ⋮ Galilean noncommutative gauge theory: symmetries and vortices ⋮ Spinless Duffin-Kemmer-Petiau oscillator in a Galilean non-commutative phase space ⋮ Space-time symmetry of noncommutative field theory ⋮ Nonrelativistic supersymmetry in noncommutative space ⋮ A new type of conformal dynamics. ⋮ Bosons, fermions and anyons in the plane, and supersymmetry ⋮ INVERSE SQUARE PROBLEM AND so(2, 1) SYMMETRY IN NONCOMMUTATIVE SPACE ⋮ Aspects of phase-space noncommutative quantum mechanics

Cites Work

• Second central extension in Galilean covariant field theory
• The exotic Galilei group and the ``Peierls substitution.
• Quantum mechanics on the noncommutative plane and sphere
• Testing non-commutative QED, constructing non-commutative MHD

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