Confining QCD strings, Casimir scaling, and a Euclidean approach to high-energy scattering
Nov, 2002
58 pages
Published in:
- Phys.Rev.D 68 (2003) 074004
e-Print:
- hep-ph/0211287 [hep-ph]
Report number:
- HD-THEP-02-22
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Abstract:
We compute the chromo-field distributions of static color-dipoles in the fundamental and adjoint representation of SU(Nc) in the loop-loop correlation model and find Casimir scaling in agreement with recent lattice results. Our model combines perturbative gluon exchange with the non-perturbative stochastic vacuum model which leads to confinement of the color-charges in the dipole via a string of color-fields. We compute the energy stored in the confining string and use low-energy theorems to show consistency with the static quark-antiquark potential. We generalize Meggiolaro's analytic continuation from parton-parton to gauge-invariant dipole-dipole scattering and obtain a Euclidean approach to high-energy scattering that allows us in principle to calculate S-matrix elements directly in lattice simulations of QCD. We apply this approach and compute the S-matrix element for high-energy dipole-dipole scattering with the presented Euclidean loop-loop correlation model. The result confirms the analytic continuation of the gluon field strength correlator used in all earlier applications of the stochastic vacuum model to high-energy scattering.- 11.80.Fv
- 12.38.Lg
- gauge field theory: SU(N)
- correlation function
- color: dipole
- color: electric field
- scaling: Casimir
- gluon: exchange
- vacuum state: stochastic
- nonperturbative
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