AI 中文总结
采用泛函重整化群研究有限温度、密度和磁场下的(2+1)维Gross-Neveu-Yukawa模型相图，揭示了手征凝聚的非平凡行为及临界点随磁场的变化规律。
AI 中文摘要
我们采用局部势近似下的泛函重整化群（FRG），超越平均场近似研究有限温度、密度和磁场下(2+1)维Gross-Neveu-Yukawa（GNY）模型的相图。强磁场会导致磁催化、系统维度缩减并增强手征对称性破缺。我们采用流体动力学算法求解有效势的FRG流方程，相比以往方法可深入红外区域。研究发现手征凝聚在相图多个区域呈现非平凡行为：小磁场大化学势区存在多个一级相变和德哈斯-范阿尔芬振荡，且随磁场增强，临界点向更高温度移动。
英文摘要
We investigate the phase diagram of the (2+1)-dimensional Gross-Neveu-Yukawa (GNY) model at finite temperature, density, and magnetic field beyond mean-field, using the Functional Renormalization Group (FRG) in the local potential approximation. Large magnetic fields result in magnetic catalysis, a dimensional reduction of the system, and enhancement of chiral symmetry breaking. We employ a hydrodynamical algorithm to solve the FRG flow equation for the effective potential, which allows for go further into the infrared region than with previously used methods. We find that the chiral condensate exhibits non-trivial behavior in various regions of the phase diagram: several first-order phase transitions and de Haas -- van Alphen oscillations at small magnetic field and large chemical potential, as well as a critical endpoint which shifts to higher temperature with increasing magnetic field.
Comments9 pages, 3 figures
