Abstract:
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.
Citation:
B. M. Barbashov, V. V. Nesterenko, A. M. Chervyakov, “Solitons in some geometrical field theories”, TMF, 40:1 (1979), 15–27; Theoret. and Math. Phys., 40:1 (1979), 572–581
Benjamin A. Burrington, Peng Gao, “Minimal surfaces in AdS space and integrable systems”, J. High Energ. Phys., 2010:4 (2010)
D. V. Vassilevich, “Constraints, gauge symmetries, and noncommutative gravity in two dimensions”, Theoret. and Math. Phys., 148:1 (2006), 928–940
L Bergamin, D Grumiller, W Kummer, D V Vassilevich, “Physics-to-gauge conversion at black hole horizons”, Class. Quantum Grav., 23:9 (2006), 3075
D.V. Vassilevich, R. Fresneda, D.M. Gitman, “Stability of a non-commutative Jackiw–Teitelboim gravity”, Eur. Phys. J. C, 47:1 (2006), 235
Kechkin, OV, “Sigma-models coupled to gravity in string theory”, Physics of Particles and Nuclei, 35:3 (2004), 383
L Bergamin, D Grumiller, W Kummer, “Quantization of 2D dilaton supergravity with matter”, J. High Energy Phys., 2004:05 (2004), 060
H Balasin, D Grumiller, “The ultrarelativistic limit of 2D dilaton gravity and its energy–momentum tensor”, Class. Quantum Grav., 21:12 (2004), 2859
D Grumiller, “Long time black hole evaporation with bounded Hawking flux”, J. Cosmol. Astropart. Phys., 2004:05 (2004), 005
Bergamin, L, “Complete solution of 2D superfield supergravity from graded Poisson-sigma models, and the super point particle”, Physical Review D, 68:10 (2003), 104005
D. Grumiller, W. Kummer, “The classical solutions of the dimensionally reduced gravitational Chern–Simons theory”, Annals of Physics, 308:1 (2003), 211
Luzi Bergamin, Wolfgang Kummer, “Graded Poisson-sigma models and dilaton-deformed 2D supergravity algebra”, J. High Energy Phys., 2003:05 (2003), 074
Pashaev, OK, “Resonance solitons as black holes in Madelung fluid”, Modern Physics Letters A, 17:24 (2002), 1601
M.O. Katanaev, “Effective Action for Scalar Fields in Two-Dimensional Gravity”, Annals of Physics, 296:1 (2002), 1
Daniel Grumiller, Dmitri V Vassilevich, “Non-existence of a dilaton gravity action for the exact string black hole”, J. High Energy Phys., 2002:11 (2002), 018
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