Accelerating solitons
Accelerating solitons
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DOI：
10.1103/physrevd.102.125002
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发表时间：
2020-07
期刊：
影响因子：
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通讯作者：
I. Melnikov;C. Papageorgakis;A. Royston
中科院分区：
文献类型：
--
作者：
I. Melnikov;C. Papageorgakis;A. Royston
本文给出了二维线性sigma模型中量子扭折的有效哈密顿量的鞍点近似。我们展示了如何有效的哈密顿量可以用来获得半经典孤子的形状因子，有效的孤子质量阶的动量转移。然而，显式结果取决于找到新的波浪状偏微分方程的显式解，该方程具有随时间变化的速度和取决于解的强迫项。在小动量转移的极限下，有效哈密顿量约化为期望的形式，即H =（P^2 + M^2）^（1/2），其中M是单圈修正的孤子质量，孤子形状因子由相应经典轮廓的傅里叶变换给出.
We present the saddle-point approximation for the effective Hamiltonian of the quantum kink in two-dimensional linear sigma models to all orders in the time-derivative expansion. We show how the effective Hamiltonian can be used to obtain semiclassical soliton form factors, valid at momentum transfers of order the soliton mass. Explicit results, however, hinge on finding an explicit solution to a new wave-like partial differential equation, with a time-dependent velocity and a forcing term that depend on the solution. In the limit of small momentum transfer, the effective Hamiltonian reduces to the expected form, namely H = (P^2 + M^2)^(1/2), where M is the one-loop corrected soliton mass, and soliton form factors are given in terms of Fourier transforms of the corresponding classical profiles.