Selfcoupled Equations for the Field Correlators

1997/12/03 by Yu. A. Simonov, Simonov, Yu. A.
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/9712250

LaTeX, 14 pages, no figures

arxiv created 1997/12/03 · openalex publication_date 1997/12/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

New nonlinear equations for field correlators in the large N_c gluodynamics are derived. Nonperturbative confining correlators are shown to satisfy a system of nonlinear scale-invariant equations. Keeping only the simplest, bilocal correlators one can find the exponential large distance behaviour for both independent correlators D and D₁ and express coefficients in the exponentials -- the gluonic correlation length T_g -- through the string tension. Numerically these results are in agreement with lattice data.

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