论文标题
线性sigma模型中中性斜质质量的磁场依赖性,具有夸克:强场案例
Magnetic field dependence of the neutral pion mass in the linear sigma model with quarks: The strong field case
论文作者
论文摘要
我们使用带有夸克的线性sigma模型在一环水平上找到对中性斜向质量的磁场诱导的修饰。通过在强场状态中存在磁性背景的情况下,通过使用带电的颗粒传播器来引入磁场效应。我们表明,当考虑磁场对模型耦合的影响,真空sigma场和中性涡旋自我能源时,中性斜向质量随着磁场强度的函数而单调降低。我们发现了与最近的晶格QCD计算的出色定性和定量一致性,随着野外强度的单调降低趋势,当晶格数据接近较大值的物理真空质量时,单调降低的趋势以及降低。
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.