2003/05/14 by Vivien de Beauce, de Beauce, Vivien, Samik Sen +1
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #hep-lat #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0305125
20 pages, 4 figures Expanded version with more references
openalex publication_date 2003/05/14 · arxiv created 2003/08/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We propose a discretisation scheme based on the Dirac-Kahler formalism (DK) in which the algebraic relations between continuum operators \wedge, d, ⋆ are captured by their discrete analogues, allowing the construction of the relevant projection operators necessary to prevent species doubling. We thus avoid the traditional form of species doubling as well as spectral doubling, which does not occur in the DK setting. Chirality is also captured, since we have ⋆ from geometric discretisation.