Abstract
The correlation lengths of nonperturbative-nonconfining and confining stochastic background Yang–Mills fields are obtained by means of a direct analytic path-integral evaluation of the Green functions of the so-called one- and two-gluon gluelumps. Numerically, these lengths turn out to be in a good agreement with those known from the earlier, Hamiltonian, treatment of such Green functions. It is also demonstrated that the correlation function of nonperturbative-nonconfining fields decreases with the deviation of the path in this correlation function from the straight-line one.
Highlights
Stochastic vacuum model [1] puts in practice the idea that it is the stochasticity of nonperturbative background Yang–Mills fields that provides confinement
Despite the numerical support by various lattice simulations [3,4,5,6], this model, appealing by its simplicity, requires theoretical support in the form of analytic studies of the said two-point function. Such calculations have been performed in various Abelian models, where confinement is provided by the monopole condensation [7], in the instanton-vacuum model [8], and recently in AdS/QCD [9]
Ref. [11] explored the possibility for nonperturbativenonconfining and confining background fields to have different correlation lengths. Such a possibility is specific for QCD, and unlikely to exist in Abelian models with confinement
Summary
Departamento de Fısica and Centro de Fısica das Interaccoes Fundamentais, Instituto Superior Tecnico, UT Lisboa, Av. Rovisco Pais, 1049-001 Lisboa, Portugal. The correlation lengths of nonperturbative-nonconfining and confining stochastic background Yang–Mills fields are obtained by means of a direct analytic path-integral evaluation of the Green functions of the so-called one- and two-gluon gluelumps. These lengths turn out to be in a good agreement with those known from the earlier, Hamiltonian, treatment of such Green functions. It is demonstrated that the correlation function of nonperturbative-nonconfining fields decreases with the deviation of the path in this correlation function from the straight-line one
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