Resummation of~diagram expansions in~polarized systems with charged particles
Teoretičeskaâ i matematičeskaâ fizika, Tome 44 (1980) no. 1, pp. 75-84
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Classical equilibrium system including charged and neutral particles is considered. By means of splitting the interaction potential into the short-range and long-range electrostatic parts, the diagram expansions with respect to electrostatic interaction due to the presence of the charge of particles and induced as well as rigid dipoles are constructed. A procedure of the resummation of the initial expansions is suggested which means essentially the transition to irreducible diagrams and removes completely the long-range divergencies due to the slow decreasing of the electrostatic interaction as well as the short-distance divergencies. With the help of taking explicitly into account the dipole interaction one obtains the usual renormalization of the Coulomb interaction by means of the dielectric constant $\varepsilon$. Polarisation corrections in higher approximations are found which cannot he described by means of the direct introducing of the constant $\varepsilon$ into the Coulomb interaction potential.
@article{TMF_1980_44_1_a5,
author = {V. L. Kuz'min},
title = {Resummation of~diagram expansions in~polarized systems with charged particles},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {75--84},
publisher = {mathdoc},
volume = {44},
number = {1},
year = {1980},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1980_44_1_a5/}
}
V. L. Kuz'min. Resummation of~diagram expansions in~polarized systems with charged particles. Teoretičeskaâ i matematičeskaâ fizika, Tome 44 (1980) no. 1, pp. 75-84. http://geodesic.mathdoc.fr/item/TMF_1980_44_1_a5/