论文标题
NJL模型中的磁场中的尺寸还原和广义式触发
Dimensional reduction and the generalized pion in a magnetic field within the NJL model
论文作者
论文摘要
在这项工作中，在Nambu-Jona-Lasinio模型的框架中存在背景磁场的存在中中性亲质质子的质量。考虑到各向异性的四个特性相互作用，在磁化QCD系统中产生了张量电流，该系统在夸克的Dirac方程中形成异常的磁矩（AMM）耦合。通过求解差距方程，我们发现动态生成的AMM的符号与夸克电荷的符号相反，其幅度绝对比组成质量小。我们构建了两个广义的Nambu-goldstone Pions，它们成为传统标量和新兴张量张量性手性冷凝物周围量子波动的组合。我们在分析上证明，金石性质因两粒子状态的尺寸降低而破坏了，而较轻的广义pionnic模式的相应减少质量是红外动力学的残余。
In this work, the mass of the neutral pion is investigated in the presence of background magnetic fields in the framework of the Nambu--Jona-Lasinio model. Taking into account the anisotropic four-fermion interactions, a tensor current arises in the magnetized QCD system, which forms an anomalous magnetic moment (AMM) coupling in the Dirac equation for the quarks. By solving the gap equations, we find that the sign of the dynamically generated AMM is opposite to the sign of the quark's charge and its magnitude is definitely smaller than the constituent mass. We construct two generalized Nambu-Goldstone pions, which emerge as combinations of the quantum fluctuations around the conventional scalar and the emergent tensor chiral condensates. We analytically demonstrate that the Goldstone nature has been spoiled by the dimensional reduction in the two-particle state and the corresponding decreasing mass of the lighter generalized pionic mode is a remnant of the infrared dynamics.
