Functional Fourier transforms and the loop equation

Journal Article · Sat Feb 01 04:00:00 EST 1986 · Sov. J. Nucl. Phys. (Engl. Transl.); (United States)

OSTI ID:5794449

Bershadskii, M A; Vaisburd, I D; Migdal, A A

The Migdal-Makeenko momentum-space loop equation is investigated. This equation is derived from the ordinary loop equation by taking the Fourier transform of the Wilson functional. A perturbation theory is constructed for the new equation and it is proved that the action of the loop operator is determined by vertex functions which coincide with those of the previous equation. It is shown how the ghost loop arises in direct iterations of the momentum-space equation with respect to the coupling constant. A simple example is used to illustrate the mechanism of appearance of an integration in the interior loops in transition to observables.

• Research Organization: Scientific Council for the Complex Problem ''Cybernetics''Academy of Sciences of the USSR
• OSTI ID: 5794449
• Journal Information: Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Journal Name: Sov. J. Nucl. Phys. (Engl. Transl.); (United States) Vol. 43:2; ISSN SJNCA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING CONSTANTS
FIELD THEORIES
FOURIER TRANSFORMATION
FUNCTIONS
INTEGRAL TRANSFORMATIONS
LATTICE FIELD THEORY
PERTURBATION THEORY
QUANTUM FIELD THEORY
TRANSFORMATIONS
VERTEX FUNCTIONS
WILSON LOOP