V. I. Shevchenko

Field correlators in QCD: Theory and applications

Abstract This review is aimed to demonstrate the basics and use of formalism of gauge-invariant nonlocal correlators in nonabelian gauge theories. Many phenomenologically interesting nonperturbative aspects of gluodynamics and QCD can be described in terms of correlators of the nonabelian field strength tensors. It is explained how the properties of correlator ensemble encode the structure of QCD vacuum and determine different nonperturbative observables. It is argued that in gluodynamics and QCD the dominant role is played by the lowest nontrivial two-point correlator (Gaussian dominance). Lattice measurements of field correlators are discussed. Important for the formalism theoretical tools, such as nonabelian Stokes theorem, background perturbation theory, cluster expansion, as well as phenomenological applications to the heavy quarkonium dynamics and QCD phase transition are reviewed.

Production of scalar KK¯molecules in φ radiative decays

The potentialities of the production of the scalar

Generalized coordinate gauge, nonabelian Stokes theorem and the dual QCD Lagrangian

K\bar K

Confinement Mechanism in the Field Correlator Method

molecules in the

Perturbative contributions to field correlators in gluodynamics

\phi

Meson spectrum on the light-cone

radiative decays are considered beyond the narrow resonance width approximation. It is shown that

Current correlators in QCD: Operator product expansion versus large distance dynamics

BR(\phi\rightarrow\gamma f_0(a_0)\rightarrow\gamma\pi\pi(\pi\eta))\approx (1\div 2)\times 10^{-5}\ ,\BR(\phi\rightarrow\gamma (f_0+a_0)\rightarrow\gamma K^+K^-)\alt 10^{-6}

Interaction of Wilson loops in confining vacuum

and

Method of vacuum correlation functions: Results and prospects

BR(\phi\rightarrow\gamma (f_0+a_0) \to \gamma K^0\bar K^0)\alt 10^{-8}

Production of scalar {ital K{bar K}} molecules in {phi} radiative decays

. The mass spectra in the