R Cartas-Fuentevilla, K Peralta-Martinez, D A Zarate-Herrada, J L A Calvario-Acocal
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引用次数: 0
摘要
研究表明,具有量子 S 矩阵强/弱对偶对称性的标准 sin/sinh 戈登场论可以用椭圆函数及其对偶对称性来表述,这将对应于量子对称性的经典实现。具体来说,我们证明了划分强耦合和弱耦合状态的所谓自偶点只对应于椭圆函数对偶变换下一组固定点中的一个点。此外,运动方程可以用反椭圆函数的精确形式求解;在自发对称性破缺的情况下,这些求解表明类激波孤子可以衰减为类尖顶孤子。
Strong/weak duality symmetries for Jacobi–Gordon field theory through elliptic functions
It is shown that the standard sin/sinh Gordon field theory with the strong/weak duality symmetry of its quantum S-matrix, can be formulated in terms of elliptic functions with their duality symmetries, which will correspond to the classical realization of that quantum symmetry. Specifically we show that the so called self-dual point that divides the strong and the weak coupling regimes, corresponds only to one point of a set of fixed points under the duality transformations for the elliptic functions. Furthermore, the equations of motion can be solved in exact form in terms of the inverse elliptic functions; in spontaneous symmetry breaking scenarios, these solutions show that kink-like solitons can decay to cusp-like solitons.
期刊介绍:
Publishing 50 issues a year, Journal of Physics A: Mathematical and Theoretical is a major journal of theoretical physics reporting research on the mathematical structures that describe fundamental processes of the physical world and on the analytical, computational and numerical methods for exploring these structures.