High-order field theory and weak Euler-Lagrange-Barut equation for classical relativistic particle-field systems
نویسندگان
چکیده
Abstract In both quantum and classical field systems, conservation laws such as the of energy momentum are widely regarded fundamental properties. A broadly accepted approach to deriving is built using Noether’s method. However, this procedure still unclear for relativistic particle-field systems where particles world lines. present study, we establish a general manifestly covariant or geometric theory systems. contrast viewed fields, specific challenges. These challenges arise from two sides. The first comes mass-shell constraint. To deal with constraint, Euler–Lagrange–Barut (ELB) equation used determine particle’s lines in four-dimensional (4D) Minkowski space. Besides, infinitesimal criterion, which differential formal theory, reconstructed by an integro-differential form. other difficulty that fields depend on heterogeneous manifolds. overcome challenge, propose weak version ELB allows us connect local continuous symmetries By applying can systematically derive examining underlying system. Our proposed provides new perspective understanding
منابع مشابه
Field theory and weak Euler-Lagrange equation for classical particle-field systems.
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ژورنال
عنوان ژورنال: Plasma Science & Technology
سال: 2023
ISSN: ['1009-0630', '2058-6272']
DOI: https://doi.org/10.1088/2058-6272/acdc07