标题： 夸克线性σ模型中中性π介子质量的磁场依赖性：强场情况 显示英文标题

标题： Magnetic field dependence of the neutral pion mass in the linear sigma model with quarks: The strong field case

摘要： 我们使用包含夸克的线性σ模型，在一环水平上寻找磁场引起的中性π介子质量的变化。 磁场效应是通过在强磁场区域中使用带电粒子传播子来引入的。 我们表明，当考虑磁场对模型耦合、真空σ场和中性π介子自能的影响时，中性π介子质量随着场强的增加而单调减少。 我们发现与最近的格点QCD计算有很好的定性和定量一致，再现了随着场强增加而单调减少的趋势，以及当格点数据从较大值接近物理真空π介子质量时的减少。 显示英文摘要

摘要： We use the linear sigma model with quarks to find the magnetic field-induced modifications to the neutral pion mass at one-loop level. The magnetic field effects are introduced by using charged particle propagators in the presence of a magnetic background in the strong field regime. We show that when accounting for the effects of the magnetic field on the model couplings, the vacuum sigma field and the neutral pion self-energy, the neutral pion mass decreases monotonically as a function of the field strength. We find an excellent qualitative and quantitative agreement with recent lattice QCD calculations, reproducing the monotonically decreasing trend with the field strength as well as the decrease when lattice data approaches the physical vacuum pion mass from larger values.