Gluon Field Strength Correlation Functions within a Constrained Instanton Model

Details Gluon Field Strength Correlation Functions within a Constrained Instanton Model Gluon Field Strength Correlation Functions within a Constrained Instanton Model

1999-03-22

arxiv.org/abs/hep-ph/9903450v2

Eur.Phys.J.C13:331-345,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

25 pages (RevTex), 7 ps figures; some references added, one figure replaced

Scientific paper

10.1007/s100520000254

We suggest a constrained instanton (CI) solution in the physical QCD vacuum which is described by large-scale vacuum field fluctuations. This solution decays exponentially at large distances. It is stable only if the interaction of the instanton with the background vacuum field is small and additional constraints are introduced. The CI solution is explicitly constructed in the ansatz form, and the two-point vacuum correlator of gluon field strengths is calculated in the framework of the effective instanton vacuum model. At small distances the results are qualitatively similar to the single instanton (SI) case, in particular, the form factor $D_{1}$ is small, which is in agreement with the lattice calculations.

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