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Nonlocality I: Nonlocality, singularity, and elastic scattering in quantum fields

2005/12/20 by Hai-Jhun Wanng, Wanng, Hai-Jhun
Physics and Astronomy · #Atomic and Subatomic Physics Research #FOS: Physical sciences #Gyrotron and Vacuum Electronics Research #High Energy Physics - Theory (hep-th) #Quantum Electrodynamics and Casimir Effect #Quantum Physics (quant-ph) #hep-th #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0512162

6 pages, 2 graphes. Changes added

openalex publication_date 2005/12/20 · arxiv created 2006/09/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using path integrals we express the quantum nonlocality of AB-effect type in the form of singularity. The gauge-fixing term in path integrals induce the AB effect in ordinary scattering processes. This means that all scattering processes are accompanied by nonlocal effect. The formulae are then extended to theory of fields that additionally include a scalar potential. It turns out that the degree of freedom of nonlocality in quantum fields is just the degree of the ghosts. Furthermore, renormalization method can be related to this type of nonlocal effect.

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