The Bullough–Dodd model coupled to matter fields
The Bullough–Dodd model coupled to matter fields
复制标题
与物质场耦合的布洛-多德模型
DOI：
10.1016/j.nuclphysb.2008.01.004
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
L. A. Ferreira
中科院分区：
文献类型：
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作者：
P. E. G. Assis;L. A. Ferreira
布洛-多德模型是一个重要的二维可积场论，在物理和几何领域都有广泛的应用。我们考虑了它的一个共形不变扩展，并利用基于扭曲Kac-Moody代数A2(2)的零曲率条件研究了它的可积性。明确地构造了单孤子解和双孤子解以及呼吸子解。我们还考虑了引入旋量（物质）场的Bullough-Dodd模型的可积扩展。所得到的理论是共形不变的，并且呈现局部内部对称性。对于这些模型中的两个例子，所有的单孤子解都是使用dressing和Hirota方法的混合构造的。其中一个模型特别令人感兴趣，因为它为孤子内部给定的守恒电荷提供了约束机制。
The Bullough–Dodd model is an important two-dimensional integrable field theory which finds applications in physics and geometry. We consider a conformally invariant extension of it, and study its integrability properties using a zero curvature condition based on the twisted Kac–Moody algebra A2(2). The one- and two-soliton solutions as well as the breathers are constructed explicitly. We also consider integrable extensions of the Bullough–Dodd model by the introduction of spinor (matter) fields. The resulting theories are conformally invariant and present local internal symmetries. All the one-soliton solutions, for two examples of those models, are constructed using a hybrid of the dressing and Hirota methods. One model is of particular interest because it presents a confinement mechanism for a given conserved charge inside the solitons.