We implement a dynamical resummation method (DRM) as an extension of the dynamical renormalization group to study the time evolution of infrared dressing in nongauge theories. Super renormalizable and renormalizable models feature infrared divergences similar to those of a theory at a critical point, motivating a renormalization group improvement of the propagator that yields a power-law decay of the survival probability $\propto t^{-\mathrm{\Delta }}$. The DRM confirms this decay, yields the dressed state, and determines that the anomalous dimension $\mathrm{\Delta }$ is completely determined by the slope of the spectral density at threshold independent of the ultraviolet behavior, suggesting certain universality for infrared phenomena. The dressed state is an entangled state of the charged and massless quanta. The entanglement entropy is obtained by tracing over the unobserved massless quanta. Its time evolution is determined by the DRM, is infrared finite, and describes the information flow from the initial single particle to the asymptotic multiparticle dressed state. We show that effective field theories of massless axionlike particles coupled to fermion fields do not feature infrared divergences and provide a criterion for infrared divergences in effective field theories valid for nongauge theories up to one loop.

中文翻译：

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实时红外修整：异常维度的出现

我们实施了动态恢复方法 (DRM) 作为动态重整化群的扩展，以研究非测量理论中红外敷料的时间演变。超级可重整化和可重整化模型具有类似于临界点理论的红外发散，激发传播子的重整化群改进，从而产生生存概率的幂律衰减$\propto {吨}^{-\mathrm{\Delta }}$. DRM 确认了这种衰减，产生了穿着状态，并确定了异常维度$\mathrm{\Delta }$完全由阈值处的光谱密度斜率决定，与紫外线行为无关，这表明红外线现象具有一定的普遍性。穿着态是带电和无质量量子的纠缠态。纠缠熵是通过追踪未观察到的无质量量子获得的。它的时间演化由 DRM 决定，是红外有限的，描述了从初始单粒子到渐近多粒子修饰状态的信息流。我们表明，与费米子场耦合的无质量类轴子粒子的有效场论不具有红外发散特征，并为有效场理论中的红外发散提供了一个标准，该标准适用于最多一个循环的非规范理论。