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A new proposal for the fermion doubling problem

2002/07/16 by John P. Costella, Costella, John P.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #Spectral Theory in Mathematical Physics #hep-lat

paper · pdf · doi:10.48550/arxiv.hep-lat/0207008

12 pages, improved version

openalex publication_date 2002/07/16 · arxiv created 2002/07/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper I propose the use of a lattice derivative operator that is equivalent to the ideal SLAC derivative operator in all lattice calculations, but without the prohibitively expensive computational cost of the latter. A pedagogical motivation and derivation of the closed form of the SLAC derivative in position space is presented, and the proposed method for its cost-effective implementation is presented in detail.

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