Exploring correlations in the stochastic Yang-Mills vacuum
arXiv:1010.6273 · doi:10.1016/j.physletb.2010.12.026
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.
arXiv comment14 pages, 3 figures; an Appendix is included, which addresses the path-dependence of the correlation function; version to appear in Phys. Lett. B
References in corpus (29)
- Potential NRQCD: an effective theory for heavy quarkonium
- Effective field theories for heavy quarkonium
- Casimir scaling of SU(3) static potentials
- Field correlators in QCD. Theory and applications
- Field strength correlators in full QCD
- Static SU(3) potentials for sources in various representations
- Gluelump spectrum in the QCD string model
- Virtualities of Quarks and Gluons in QCD Vacuum and Nonlocal Condensates within Single Instanton Approximation
- A lattice determination of QCD field strength correlators
- Field Strength Correlators and Dual Effective Dynamics in QCD
- Evidences for two scales in hadrons
- String Nature of Confinement in (Non-)Abelian Gauge Theories
- Gluon Field Strength Correlation Functions within a Constrained Instanton Model
- String Representation of Field Correlators in the SU(3)-Gluodynamics
- Field Correlators in Abelian-Projected Theories and Stochastic Vacuum Model
- Analytic calculation of field-strength correlators
- QCD sum rule analysis of the field strength correlator
- String Representation of Field Correlators in the Dual Abelian Higgs Model
- Confinement Mechanism in the Field Correlator Method
- On the dependence of the gauge-invariant field-strength correlators in QCD on the shape of the Schwinger string
- Confining Properties of Abelian(-Projected) Theories
- String Representation for the 't Hooft Loop Average in the Abelian Higgs Model
- Instanton IR stabilization in the nonperturbative confining vacuum
- The gauge invariant quark correlator in QCD sum rules and lattice QCD
- k-string tensions in the 4-d SU(N)-inspired dual Abelian-Higgs-type theory
- Following Gluonic World Lines to Find the QCD Coupling in the Infrared
- k-string tensions in the 3-d SU(N) Georgi-Glashow model
- Calculating the gauge-invariant two-point correlation function of gluonic field strengths
- Non-Abelian field strength bilocal correlator at finite temperature in the model of dilute instanton gas