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Propagation of waves in a randomly inhomogeneous medium with strongly developed fluctuations. II. Infrared representation and large-distance behavior

Journal Article · · Theor. Math. Phys.; (United States)
OSTI ID:5828546
; ;
The problem of the infrared divergences in the case of massless noise with correlation function 1/k/sup 2/ is studied directly in three-dimensional space by means of an infrared perturbation theory of the type developed by Fradkin. Summation of the infrared divergences leads to an integral representation for the propagator that, first, is completely free of infrared singularities on the mass shell and, second, exactly reproduces when expanded with respect to the coupling constant the series of ordinary perturbation theory. This representation is used to calculate the coordinate asymptotic behavior of the propagator at large distances, and it is shown that instead of the ordinary damping of the type exp(-..beta..r) the damping exp(-..beta..r 1n(r/r/sub 0/)) is obtained, the parameter r/sub 0/ also being determined. Moreover, in the momentum representation the singularity of the propagator disappears altogether through the physical mass's becoming infinite on account of the infrared divergences. Such a mechanism is of interest in connection with the quark confinement problem in quantum chromodynamics.
Research Organization:
Leningrad State Univ., USSR
OSTI ID:
5828546
Journal Information:
Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 68:3; ISSN TMPHA
Country of Publication:
United States
Language:
English

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Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
COMPOSITE MODELS
CORRELATION FUNCTIONS
COUPLING CONSTANTS
ELECTRODYNAMICS
ELECTROMAGNETIC RADIATION
EXTENDED PARTICLE MODEL
FIELD THEORIES
FLUCTUATIONS
FUNCTIONS
INFRARED DIVERGENCES
INFRARED RADIATION
MATHEMATICAL MODELS
NOISE
PARTICLE MODELS
PERTURBATION THEORY
PROPAGATOR
QUANTUM CHROMODYNAMICS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
RADIATIONS
SINGULARITY
THREE-DIMENSIONAL CALCULATIONS
ULTRAVIOLET DIVERGENCES
VARIATIONS
WAVE PROPAGATION