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Selfcoupled Equations for the Field Correlators

Yu. A. Simonov
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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 $D_1$ 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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Yu. A. Simonov. 1997-12-03. Selfcoupled Equations for the Field Correlators. https://arxiv.org/abs/hep-ph/9712250

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