1996/12/08 by Achim Kempf, Kempf, Achim · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Quantum Algebra (math.QA) #Quantum Physics (quant-ph) #gr-qc #hep-th #math-ph #math.MP #math.QA #q-alg #quant-ph
paper · pdf · doi:10.48550/arxiv.hep-th/9612082
6 pages, LaTex, (to appear in Proc. 21st Intl. Coll. on Group Theor. Methods in Physics, Goslar, July '96)
arxiv created 1996/12/08 · openalex publication_date 1996/12/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The possibility of the existence of small correction terms to the canonical commutation relations and the uncertainty relations has recently found renewed interest. In particular, such correction terms could induce finite lower bounds Δx0, Δp0 to the resolution of distances and/or momenta. I review a general framework for the path integral formulation of quantum field theories on such generalised geometries, and focus then on the mechanisms by which Δp0>0, and/or Δx0>0 lead to IR and/or UV regularisation.