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Blow-up in nonlinear models of extended particles with confined constituents

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1988-11-15
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American Physical Society
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It is shown that the indefinite character of the charge in classical models of extended particles with confined constituents is a serious handicap since infinite amounts of positive and negative charge can be emitted in some solutions, causing a blow-up in finite time.
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© 1988 The American Physical Society. This work has been supported by Comision Asesora de Investigacion Cientifica y Tecnica (CAICYT) under Grant No. 2140/83. We are also grateful to Centro de Investigaciones Energeticas, Medioambientales y Tecnologicas (CIEMAT) for use of computer facilities.
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1.- A. F. Rañada, M. F. Rañada, Physica D 9, 251 (1983), ----Phys. Rev. D 29, 985 (1984). 2.- J. Werle, in Quantum Theory of Particle and Fields, edited by B. Jancevicz and J. Lukierski (World Scienti6c, Singapore, 1983). 3.- M. F. Rañada, Phys. Rev. D 30, 1830 (1984). 4.- A. F. Rañada, ibid. 33, 1714 (1986). 5.- W. E. Thirring, Ann. Phys. (N.Y.) 3, 91 (1958). 6.- E. A. Kuznetsov, A. V. Mikhailov, Teor. Mat. Fiz. 30, 303 (1977). 7.- D. J. Kaup, A. C. Newell, Lett. Nuovo Cimento 20, 325 (1977). 8.- A. Álvarez, B. Carreras, Phys. Lett. 86A, 327 (1981). 9.- A. Álvarez, Kuo Pen-Yu, L. Vázquez, Appl. Math. Comput. 13, 1 (1983). 10.- A. Álvarez, M. Soler, Phys. Rev. Lett. 50, 1230(1983). 11.- A. Álvarez, Phys. Rev. D 31, 2701 (1985). 12.- A. Álvarez, M. Soler, ibid. 34, 644 (1986).
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