Solitons in some geometrical field theories
Teoretičeskaâ i matematičeskaâ fizika, Tome 40 (1979) no. 1, pp. 15-27
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A geometrical approach is developed to two-dimensional field theories, in the framework
of which a number of nonlinear models – the theory of gravitation with constant scalar
curvature, the massless scalar Born–Infeld field, and also a relativistic string – an be
described by a single nonlinear Liouville equation. The soliton solutions of this equation and their stability are investigated. It is shown that such solutions can be interpreted as particles with nonzero rest mass, and this interpretation is valid at both the classical and the quantum level.
@article{TMF_1979_40_1_a1,
author = {B. M. Barbashov and V. V. Nesterenko and A. M. Chervyakov},
title = {Solitons in some geometrical field theories},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {15--27},
publisher = {mathdoc},
volume = {40},
number = {1},
year = {1979},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1979_40_1_a1/}
}
TY - JOUR AU - B. M. Barbashov AU - V. V. Nesterenko AU - A. M. Chervyakov TI - Solitons in some geometrical field theories JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1979 SP - 15 EP - 27 VL - 40 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1979_40_1_a1/ LA - ru ID - TMF_1979_40_1_a1 ER -
B. M. Barbashov; V. V. Nesterenko; A. M. Chervyakov. Solitons in some geometrical field theories. Teoretičeskaâ i matematičeskaâ fizika, Tome 40 (1979) no. 1, pp. 15-27. http://geodesic.mathdoc.fr/item/TMF_1979_40_1_a1/