Instanton effects in quark form factor and quark-quark scattering at high energy

Details Instanton effects in quark form factor and quark-quark scattering at high energy Instanton effects in quark form factor and quark-quark scattering at high energy

2004-04-05

arxiv.org/abs/hep-ph/0404040v1

Annals Phys. 314 (2004) 321-361

Physics

High Energy Physics

High Energy Physics - Phenomenology

37 pages + 9 figures; JHEP style

Scientific paper

10.1016/j.aop.2004.05.003

The nonperturbative effects in the high-energy processes involving strongly interacting particles are studied within the instanton liquid model of the QCD vacuum (ILM) by using the Wilson integral framework. The detailed analysis of nonperturbative contributions to the electromagnetic quark form factor is presented considering the structure of the instanton induced effects in the evolution equation describing the high energy behaviour of the form factor. It is shown that the instantons yield in high energy limit the logarithmic corrections to the amplitudes which are exponentiated in small instanton density parameter. By using the Gaussian interpolation of the constrained instanton solution, we show that the all-order multi-instanton contribution is well approximated by the weak field limit result. The role of the instantons in high energy diffractive quark-quark scattering, in particular, in formation of the soft Pomeron, is also considered. We show that within the ILM the C-odd diffractive amplitude is suppressed as 1/s compared to the C-even one. The further applications of the developed approach in studying the nonperturbative effects in high energy hadronic processes are briefly discussed.

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