AI 中文总结
本研究采用泛函重整化群与广义流方程，计算类QCD理论中共形窗口的非微扰修正，得到临界味数等结果，提出共形相变新图像，挑战相关标度与行走 regime，支持一阶量子相变。
AI 中文摘要
动力学对称性破缺在质量与标度产生中起关键作用。在类QCD理论中，其对费米子味数的依赖决定了相结构及向共形区域的转变。本研究采用泛函重整化群与广义流方程计算非微扰修正，包括对实现整体对称性至关重要的动量依赖与场不变量。结果表明，动力学手征对称性破缺所需的临界规范耦合对味数有强依赖，且在N_c=3时，于N_f^crit≃7.30处急剧增大。这建立了共形相变的新图像，对Miransky/BKT标度与行走 regime 的存在提出挑战，支持一阶量子相变，并指向具有奇异动力学与对称费米子质量间隙的临界区域。
英文摘要
Dynamical symmetry breaking plays a crucial role in mass and scale generation. In QCD-like theories, its dependence on the number of fermion flavours determines the phase structure and the transition to the conformal regime. In this work, we employ the functional renormalisation group and the generalised flow equation to compute non-perturbative corrections, including momentum dependencies and field invariants essential for an adequate realisation of the global symmetry. As a consequence, the critical gauge coupling required for dynamical chiral symmetry breaking acquires a strong dependence on the number of flavours and increases sharply at $N_f^\textrm{crit}\simeq 7.30$ for $N_c=3$. This establishes a new picture of the conformal phase transition that challenges Miransky/BKT scaling and the existence of walking regimes, favours a first-order quantum phase transition, and points towards a critical region with exotic dynamics and symmetric fermion mass gaps.
Comments32 pages, 7 figures
