Abstract
We study stability of a generalized sine-Gordon model with two coupled scalar fields in two dimensions. Topological soliton solutions are found from the first-order equations that solve the equations of motion. The perturbation equations can be cast in terms of a Schrödinger-like operators for fluctuations and their spectra are calculated.
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REFERENCES
Bazeia, D., dos Santos, M. J., and Ribeiro, R. F. (1995). Solitons in systems of coupled scalar fields. Physics Letters A 208, 84.
Bazeia, D., Nascimento, J. R. S., Ribeiro, R. F., and Toledo, D. (1997). Soliton stability in systems of two real scalar fields. Journal of Physics A: Mathematical and General 30, 8157.
Bazeia, D. and Santos, M. M. (1996). Classical stability of solitons in systems of coupled scalar fields. Physics Letters A 217, 28.
Bogomol'nyi, E. B. (1976). The stability of classical solutions. Soviet Journal of Nuclear Physics 24, 449.
Cooper, F., Khare, A., and Sukhatme, U. (1995). Supersymmetry and quantum mechanics. Physics Reports 251, 267.
Cooper, F., Khare, A., and Sukhatme, U. (2001). Supersymmetry in Quantum Mechanics, World Scientific, Singapore.
de Lima Rodrigues, R., Da Silva Filho P. V., and Vaidya, A. N. (1998). SUSY QM and solitons from two coupled scalar fields in two dimensions. Physical Review D 58, 125023.
Dias, G. S., Graca E. L., and de Lima Rodrigues, R. (2002). hep-th/0205195.
Dutt, R., Khare, A., and Sukhatme U. P. (1998). Supersymmetry, shape invariance, and exactly solvable potentials. American Journal of Physics 13, 974.
Junker, G. (1996). Supersymmetric Methods in Quantum and Statistical Physics, Springer-Verlag, Berlin.
Lahiri, A., Roy, P., and Bagchi, B. (1990). Supersymmetry in quantum mechanics. International Journal of Modern Physics A 5, 1383.
Morse, P. M. and Feshbach, H. (1953). Methods of Mathematical Physics, Vol II, McGraw-Hill, New York, USA.
Peter, P. (1996). Surface current-carrying domain walls. Journal of Physics A: Mathematical and General 29, 5125.
Prasad M. K. and Sommerfield, C. H. (1975). Exact classical solution for the 't Hooft monopole and the Julia-Zee dyon. Physical Review Letters 35, 760.
Rajaraman, R. (1979). Solitons of coupled scalar field theories in two-dimensions. Physical Review Letters 42, 200.
Rajaraman, R. (1982). Solitons and Instantons, North-Holland, Amsterdam.
Riazi, M. N., Golshan, M. N., and Mansuri, K. (2001). Coupled systems of scalar fields: stability of quantization of soliton-like solutions. International Journal of Theoretical Physics, Group Theory Nonlinear Optics 7(3), 91.
Riazi, N., Azizi, A., and Zebarjad, S. M. (2002). Soliton decay in coupled system of scalar fields. Physical Review D 66, 065003.
Shifman, M. A. and Voloshin, M. B. (1998). Degenerate domain wall solutions in supersymmetric theories. Physical Review D 57, 2590.
Vilenkin, A. and Shellard, E. P. S. (1994). Cosmic Strings and Other Topological Defects, Cambridge University Press, Cambridge.
Witten, E. (1981). Dynamical breaking of supersymmetry. Nuclear Physics B185, 513.
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Cordero, R., Mota, R.D. Soliton Stability in a Generalized Sine-Gordon Potential. International Journal of Theoretical Physics 43, 2215–2222 (2004). https://doi.org/10.1023/B:IJTP.0000049020.06344.54
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DOI: https://doi.org/10.1023/B:IJTP.0000049020.06344.54