Path integral approach to noncommutative space–times

DOI10.1063/1.532409zbMath1001.81045arXivgr-qc/9705040OpenAlexW1991592473WikidataQ59673100 ScholiaQ59673100MaRDI QIDQ4260500

Gianpiero Mangano

Publication date: 15 December 2002

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9705040

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Noncommutative geometry methods in quantum field theory (81T75) Applications of manifolds of mappings to the sciences (58D30) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (8)

The standard electroweak model in the noncommutative DFR space–time ⋮ Coulomb potential in one dimension with minimal length: A path integral approach ⋮ SOME ASPECTS OF QUANTUM MECHANICS AND FIELD THEORY IN A LORENTZ INVARIANT NONCOMMUTATIVE SPACE ⋮ Path integral representations in noncommutative quantum mechanics and noncommutative version of Berezin-Marinov action ⋮ Noncommutative field theory from quantum mechanical space-space noncommutativity ⋮ Self-quartic interaction for a scalar field in an extended DFR noncommutative space-time ⋮ Path integral and noncommutative Poisson brackets ⋮ Path integral quantisation of finite noncommutative geometries

Cites Work

• On finite 4D quantum field theory in non-commutative geometry
• The quantum structure of spacetime of the Planck scale and quantum fields
• Uncertainty relation in quantum mechanics with quantum group symmetry
• Quantized Space-Time

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