AI 中文总结
研究非互易相互作用是否能诱导新普适类这一问题，采用场论重整化群分析具有\(U(n)\)对称性的两个非互易耦合\(n\)矢量序参量动力学，发现非互易耦合重整化无关，临界行为由特定平衡不动点控制，表明仅非互易性不足以诱导新普适类。
AI 中文摘要
非互易相互作用在非平衡和生命系统中有广泛应用，其典型实现涉及两个实体间的不对称耦合，通常会打破时间平移不变性。本文通过场论重整化群分析具有\(U(n)\)对称性的两个非互易耦合\(n\)矢量序参量的动力学，推广到多分量序参量。结果表明，在\(\epsilon = 4 - d\)的最低阶，非互易耦合是重整化无关的，临界行为由具有\(2n\)个矢量分量的Model A普适类的平衡不动点控制，证明仅非互易性不足以诱导新的普适类。
英文摘要
Non-reciprocal interactions find broad applicability in non-equilibrium and living systems. Their canonical implementation involves asymmetric couplings between two entities, which generally induce spatio-temporal patterns and time-dependent steady states that break time-translational invariance, representing a clear deviation from equilibrium physics. Although their phenomenology is well understood, whether non-reciprocal interactions induce new universality classes, and if so, under what conditions, remains an open question. In the present work, we perform a field-theoretic renormalization group (RG) analysis of the dynamics of two non-reciprocally coupled $n$-vector order parameters possessing a $U(n)$ symmetry, generalizing previous results to order parameters with multiple components, a feature that has been shown to generate novel non-equilibrium critical behavior in certain non-reciprocal systems. To lowest order in $ε= 4-d$, we find that the non-reciprocal coupling is RG-irrelevant, and the critical behavior is governed by the equilibrium fixed point of the Model A universality class of Hohenberg and Halperin with $2n$ vector components, even though the transition is into a non-equilibrium state. Our results demonstrate that non-reciprocity alone may not be sufficient to induce novel universality classes.
