N-磁振子散射的精确解
Exact solutions for N-magnon scattering
摘要:
巨磁振子解在AdS/CFT对应的各个方面都起着重要的作用。我们应用Dressing方法构造了一个关于R × S^3上任意N个磁振子散射态的显式公式。解可以写成广田形式,并且用N × N矩阵的行列式表示。这样的表示可以证明是有用的构造一个有效的粒子哈密顿描述磁振子动力学。
英文摘要:
Giant magnon solutions play an important role in various aspects of the AdS/CFT correspondence. We apply the dressing method to construct an explicit formula for scattering states of an arbitrary number N of magnons on R x S^3. The solution can be written in Hirota form and in terms of determinants of N x N matrices. Such a representation may prove useful for the construction of an effective particle Hamiltonian describing magnon dynamics.
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