发表机构
University of Geneva（日内瓦大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文构造了时空依赖相互作用的可积手征费米子场论，利用Yang-Baxter方程和qKZ差分方程得到精确波函数，并以手征SU(2) Gross-Neveu模型为例说明。
AI 中文摘要
我们构造了一类具有同时依赖于空间和时间的相互作用的可积手征费米子量子场论。该构造始于一个满足编织幺正性和Yang-Baxter方程的幺正、正则、差分形式的两体散射矩阵。每个自由运动的右行或左行粒子携带一个特征坐标，该坐标沿其轨迹保持恒定，散射矩阵依赖于这些坐标之差。多体振幅在坐标排序扇区上形成一个离散联络。Yang-Baxter方程给出其局部平坦性，而空间圆上的周期性产生表达全局平坦性的量子Knizhnik-Zamolodchikov差分方程。就满足交换和qKZ约束的参考振幅而言，这些输运决定了精确的固定粒子数波函数。我们推导了时空依赖相互作用的特征形式，并用一个手征$SU(2)$ Gross-Neveu实现说明了该构造。右行和左行特征量的独立重参数化产生真正的时空依赖性，而等斜率仿射映射则恢复空间均匀、时间依赖的情形。
英文摘要
We construct a class of integrable chiral fermionic quantum field theories with interactions depending on both space and time. The construction starts with a unitary, regular, difference-form two-body scattering matrix that satisfies braiding unitarity and the Yang--Baxter equation. Each freely moving right- or left-moving particle carries a characteristic coordinate that remains constant along its trajectory, and the scattering matrix depends on differences of these coordinates. The many-body amplitudes form a discrete connection over coordinate-ordering sectors. The Yang--Baxter equation gives its local flatness, while periodicity on a spatial circle produces quantum Knizhnik--Zamolodchikov difference equations expressing global flatness. In terms of a reference amplitude satisfying the exchange and qKZ constraints, these transports determine the exact fixed-particle-number wavefunction. We derive the characteristic form of the spacetime-dependent interaction and illustrate the construction with a chiral $SU(2)$ Gross--Neveu realization. Independent reparametrizations of the right- and left-moving characteristics yield genuine space-time dependence, whereas equal-slope affine maps recover the spatially homogeneous, time-dependent case.
