发表机构
Faculty of Arts and Science, Kyushu University（九州大学理工学部）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出手性孤子晶格的高阶形式描述，基于Stückelberg耦合统一处理弦与壁，精确再现晶格间距、壁间相互作用及无间隙声子，无需参数拟合。
AI 中文摘要
手性孤子晶格（CSL）通常被描述为紧致标量场的周期性缠绕构型。在本文中，我们基于二形式规范场$C_2$与三形式规范场$A_3$之间的Stückelberg耦合，在高阶形式框架下表述CSL，其中弦和壁可以直接作为扩展源处理。高阶形式规范不变性要求弦的世界面是壁的世界体的边界。在二次对偶有效理论中，有质量高阶形式模式的交换在平行壁之间产生排斥性Yukawa相互作用。其系数由对偶性固定，所得的CSL晶格间距与精确的Sine-Gordon结果吻合良好，无需参数拟合。随后，我们将该描述扩展到非线性、多分支的高阶形式理论。该理论再现了精确的稀薄壁-壁相互作用系数、周期性CSL及其能量最小化条件，以及无间隙的CSL声子。声子被识别为周期性高阶形式背景的集体位移，而标量缠绕则被重新解释为非线性高阶形式理论的分支流。
英文摘要
The chiral soliton lattice (CSL) is conventionally described as a periodic winding configuration of a compact scalar field. In this paper, we formulate the CSL in a higher-form framework based on a Stückelberg coupling between a two-form gauge field $C_2$ and a three-form gauge field $A_3$, in which strings and walls can be treated directly as extended sources. Higher-form gauge invariance requires the string worldsheet to be the boundary of the wall worldvolume. In the quadratic dual effective theory, exchange of the massive higher-form mode generates a repulsive Yukawa interaction between parallel walls. With its coefficient fixed by duality, the resulting CSL lattice spacing agrees well with the exact Sine--Gordon result without parameter fitting. We then extend the description to a nonlinear, multi-branch higher-form theory. It reproduces the exact dilute wall--wall interaction coefficient, the periodic CSL and its energy-minimization condition, as well as the gapless CSL phonon. The phonon is identified as a collective displacement of the periodic higher-form background, while scalar winding is reinterpreted as branch flow of the nonlinear higher-form theory.
Comments32 pages, 2 figures
