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Confinement-producing attempt to sum infrared singularities in quantum statistics

Journal Article · · Sov. J. Nucl. Phys. (Engl. Transl.); (United States)
OSTI ID:5571757
Fradkin's method of modified perturbation theory ''in the exponential'' is applied to the summation of the infrared singularities of the propagator of a massive scalar particle interacting with a neutral scalar massless field at a nonzero temperature T. In contrast to the T = 0 case, enhancement of the pole of the propagator on the mass shell does not occur. The propagator obtained is an entire function of the square of the four-momentum, and this corresponds to confinement of the massive particle. An expression is obtained for the confinement length, which tends to infinity as T..-->..0. The results of the analogous summation for the electron propagator in quantum electrodynamics with Tnot =0 are given.
Research Organization:
P. N. Lebedev Physics Institute, Academy of Sciences of the USSR
OSTI ID:
5571757
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

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