Quantum interactions of topological solitons from electrodynamics
Quantum interactions of topological solitons from electrodynamics
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DOI：
10.1103/physrevb.97.224424
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发表时间：
2018-03
影响因子：
3.7
通讯作者：
Hirohiko Shimada;Kazutaka Takahashi;H. Ueda
中科院分区：
文献类型：
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作者：
Hirohiko Shimada;Kazutaka Takahashi;H. Ueda
通过对量子涨落的路径积分，研究了二维量子反铁磁体中拓扑孤子经典稳定构型的Casimir能量。在Bogomol'nyi不等式饱和的孤子周围的磁振子涨落可以看作是一个带电标量场与孤子感应的有效磁场的耦合。磁振子-孤子耦合与Pauli哈密顿量密切相关，利用Pauli哈密顿量，采用外场中2+1d量子电动力学导数展开的世界线公式计算了有效作用量.由此产生的框架是更灵活的比传统的散射分析的基础上的Dashen-Hasslacher-Neveu公式。我们得到了一个短程吸引势阱和一个长程1/r型排斥势。
The Casimir energy for the classically stable configurations of the topological solitons in 2D quantum antiferromagnets is studied by performing the path-integral over quantum fluctuations. The magnon fluctuation around the solitons saturating the Bogomol'nyi inequality may be viewed as a charged scalar field coupled with an effective magnetic field induced by the solitons. The magnon-soliton couping is closely related to the Pauli Hamiltonian, with which the effective action is calculated by adapting the worldline formulation of the derivative expansion for the 2+1d quantum electrodynamics in an external field. The resulting framework is more flexible than the conventional scattering analysis based on the Dashen-Hasslacher-Neveu formula. We obtain a short-range attractive well and a long-range $1/r$-type repulsive potential between two solitons.