1993/10/04 by A. P. Balachandran, Giuseppe Bimonte, G. Bimonte +4 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #gr-qc #hep-lat #hep-th
paper · pdf · doi:10.1016/0550-3213(94)90527-4
published as Nucl.Phys. B418 (1994) 477-493 · 24 pages, 8 figures on a uuencoded postscript file, DSF-T-29/93, INFN-NA-IV-29/93 and SU-4240-550
arxiv created 1993/10/04 · openalex publication_date 1994/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
There exists a physically well-motivated method for approximating manifolds by certain topological spaces with a finite or a countable set of points. These spaces, which are partially ordered sets (posets), have the power to effectively reproduce important topological features of continuum physics like winding numbers and fractional statistics, and that too often with just a few points. In this work we develop the essential tools for doing quantum physics on posets. The poset approach to covering space quantization soliton physics, gauge theories and the Dirac equation are discussed with emphasis on physically important topological aspects. These ideas are illustrated by simple examples like the covering space quantization of a particle on a circle, and the sine-Gordon solitons.