Space-time noncommutativity from particle mechanics

DOI10.1016/j.physletb.2004.04.079zbMath1247.81229arXivhep-th/0402220OpenAlexW2093548263WikidataQ63354297 ScholiaQ63354297MaRDI QIDQ452750

Aleksandr Pinzul, Allen Stern

Publication date: 17 September 2012

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

Full work available at URL: https://arxiv.org/abs/hep-th/0402220

zbMATH Keywords

reparametrization symmetryspace-time noncommutativity

Mathematics Subject Classification ID

Noncommutative geometry in quantum theory (81R60)

Related Items

NONCOMMUTATIVITY IN A SIMPLE TOY MODEL ⋮ Topics in noncommutative geometry inspired physics ⋮ Relativistic particles on quantum space-time ⋮ Lie algebraic noncommuting structures from reparametrization symmetry ⋮ Path integral representations in noncommutative quantum mechanics and noncommutative version of Berezin-Marinov action ⋮ Noncommutative field theory from quantum mechanical space-space noncommutativity ⋮ INTERACTING RELATIVISTIC PARTICLE: TIME–SPACE NONCOMMUTATIVITY AND SYMMETRIES ⋮ GUP-BASED AND SNYDER NONCOMMUTATIVE ALGEBRAS, RELATIVISTIC PARTICLE MODELS, DEFORMED SYMMETRIES AND INTERACTION: A UNIFIED APPROACH

Cites Work

• The noncommutative Landau problem
• Poincaré gauge theory for gravitational forces in (1+1) dimensions
• Constrained dynamics. With applications to Yang-Mills theory, general relativity, classical spin, dual string model
• Quantum mechanics on the noncommutative plane and sphere
• On the unitarity problem in space/time noncommutative theories