非简并双正弦-戈登模型中真空层级反转与多扭结解绑的量子效应
Quantum vacuum inversion and multi-kink unbinding in the non-degenerate double sine-Gordon model
- Weinberg Institute for Theoretical Physics, Department of Physics, The University of Texas at Austin（德克萨斯大学奥斯汀分校温伯格理论物理研究所）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
研究非简并双正弦-戈登模型中真空层级反转及多扭结解绑，通过单圈计算和矩阵乘积态验证，发现量子效应导致真空反转，多扭结在临界后扩张并趋于解绑。
AI中文摘要：
我们研究了非简并双正弦-戈登模型中真空能量及多扭结束缚的量子修正。以主真空的介子质量定义正规序，单圈计算预言了经典真空层级的反转，其中量子涨落倾向于中心次真空，当耦合强度超过由真空经典劈裂及其介子质量比所设定的阈值时发生反转。针对$n=4$的矩阵乘积态计算证实了这一反转，且对晶格间距下体能量密度的外推支持其在连续极限中的持续存在。交叉点低于单圈预言，在$\alpha=0.3$时低22%，并与高斯有效势的预测紧密吻合。在$\alpha=0.3$下的有限链计算表明，拓扑荷$Q=4$的多扭结中心区域随真空能量差的减小而扩张，正如集体坐标描述所预言，且在交叉点之后，该区域随系统尺寸增大而增长。因此，该复合体在接近失去束缚时，其总质量的修正仍低于经典值的十分之一。
英文摘要：
A composite soliton can lose its binding through a change in the ordering of the vacua that fill its interior and its exterior, while the quantum correction to its mass stays small. We show this in the non-degenerate double sine-Gordon model, normal ordered at the meson mass of the primary vacuum. At one loop the central secondary vacuum becomes the true vacuum at a coupling of order the classical splitting of the vacua, because the quantum tension of a string of secondary vacuum carries the logarithm of the meson-mass ratio. Matrix-product-state calculations for $n=4$ confirm the inversion, extrapolate to the continuum, and are reproduced by the Gaussian effective potential. Finite-chain calculations at two lattice spacings show the string joining the two halves of the $Q=4$ multi-kink lengthening as its tension falls and, past the crossing, filling the box, with the slope of the energy in the box length equal to the vacuum-energy difference and the correction to the mass still under a tenth of the classical value.
