Title
Instanton contribution to the quark form factor Instanton contribution to the quark form factor
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Lancaster, Pa ,
Subject
Physics
Source (journal)
Physical review : D : particles and fields. - Lancaster, Pa, 1970 - 2003
Volume/pages
66(2002) :7 , 9 p.
ISSN
0556-2821
0556-2821
Article Reference
074009
Carrier
E-only publicatie
Target language
English (eng)
Full text (Publishers DOI)
Abstract
The nonperturbative effects in the quark form factor are considered in the Wilson loop formalism. The properties of the Wilson loops with cusp singularities are studied taking into account the perturbative and nonperturbative contributions, where the latter are considered within the framework of the instanton liquid model. For the integration path corresponding to this form factor-the angle with infinite sides-the explicit expression for the vacuum expectation value of the Wilson operator is found to leading order. The calculations are performed in the weak-field limit for the instanton vacuum contribution and compared with the one- and two-loop order results for the perturbative part. It is shown that the instantons produce the powerlike corrections to the perturbative result, which are comparable in magnitude with the perturbative part at the scale of order of the inverse average instanton size. It is demonstrated that the instanton contributions to the quark form factor are exponentiated to high orders in the small instanton density parameter.
Full text (open access)
https://repository.uantwerpen.be/docman/irua/0a4a09/8998.pdf
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