A class of classical relativistic nonlinear field models has been recently introduced by two of us [A. Degasperis and F. Tinebra, J. Math. Phys. 34, 2950 (1993)] they are solvable by an explicit mapping to free field equations. Here we show the behavior of particular solutions of these models for both scalar and spinor fields. In the real spectrum we find brachion and tachion localized solutions, and we show the large-time behavior of wave packets, while in the complex spectrum we prove that the asymptotic states may contain solitons, antisolitons, and point-like charged particles (``pointons''). We report on several processes such as soliton-antisoliton pair creation and annihilation, and pointon decay in two solitons.
Solutions of 1+1 relativistic field models
DE LILLO, Silvana;
1998
Abstract
A class of classical relativistic nonlinear field models has been recently introduced by two of us [A. Degasperis and F. Tinebra, J. Math. Phys. 34, 2950 (1993)] they are solvable by an explicit mapping to free field equations. Here we show the behavior of particular solutions of these models for both scalar and spinor fields. In the real spectrum we find brachion and tachion localized solutions, and we show the large-time behavior of wave packets, while in the complex spectrum we prove that the asymptotic states may contain solitons, antisolitons, and point-like charged particles (``pointons''). We report on several processes such as soliton-antisoliton pair creation and annihilation, and pointon decay in two solitons.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
