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Dynamics and causality constraints in field theory

1997/08/18 by Manoelito M. de Souza, de Souza, Manoelito M.
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Quantum Physics (quant-ph) #gr-qc #hep-ph #hep-th #quant-ph

paper · pdf · doi:10.48550/arxiv.hep-th/9708096

10 pages, Revtex, 4 ps figures

arxiv created 1997/08/18 · openalex publication_date 1997/08/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss the physical meaning and the geometric interpretation of causality implementation in classical field theories. Causality is normally implemented through kinematical constraints on fields but we show that in a zero-distance limit they also carry a dynamical information, which calls for a revision of our standard concepts of interacting fields. The origin of infinities and other inconsistencies in field theories is traced to fields defined with support on the lightcone; a finite and consistent field theory requires a lightcone generator as the field support.

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