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New methods in the theory of gauge fields

1999/09/07 by Valery Koryukin, Koryukin, Valery
Computer Science · Engineering · #Computational Physics and Python Applications #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Sensor Technology

paper · pdf · doi:10.48550/arxiv.gr-qc/9909023

openalex publication_date 1999/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

One of the fundamental problems of the theoretical physics is the search of the axioms, which ought to be the basis for the one-valued construction of Lagrangians of the relativistic fields. The creation of the gauge fields theory was the great success in the solution of this problem. The gauge formalism allowed to derive the total Lagrangians of the interacting fields from the postulated Lagrangians of the noninteracting (free) fields. We offer to do quite the reverse in consequence of what it is necessary to seek from the out set the construction principles of the total Lagrangians. By the theory construction we shall differ the wave-functions being the solutions of the differential equations (``theoretical'' functions) from the wave-functions which is constructed on the base of the experimental data possibly received by a scattering of particles (``empiric'' functions). The ``empiric'' functions are necessary only for the definition (it is possibly only approximately) of the transition operators which will affect at the ``theoretical'' functions. This operators will be approximated the differential operators so, that the generalized variance of the differentiable ``theoretical'' fields will be the minimal one.

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