标题： 低能量子色动力学中的抗磁性和顺磁性相 显示英文标题

标题： Diamagnetic and Paramagnetic Phases in Low-Energy Quantum Chromodynamics

摘要： 虽然已知在磁场背景下QCD真空在低能域表现出反磁性和顺磁性特征，但在由π介子主导的区域中相应相的系统性研究仍然缺乏。 在这里，我们在双味手征微扰理论框架内，考虑π介子间的相互作用，分析零温与有限温部分在磁化率和磁化强度之间微妙的相互作用。 顺磁性和反磁性相中磁化率随温度和磁场强度的变化是非单调的。 我们的低能分析补充了目前在更高温度和更强磁场下运行的格点QCD。 显示英文摘要

摘要： While it is known that the QCD vacuum in a magnetic background exhibits both diamagnetic and paramagnetic characteristics in the low-energy domain, a systematic investigation of the corresponding phases emerging in the pion-dominated regime is still lacking. Here, within two-flavor chiral perturbation theory, taking into account the pion-pion interaction, we analyze the subtle interplay between zero- and finite-temperature portions in the magnetization and magnetic susceptibility. The dependence of the magnetic susceptibility on temperature and magnetic field strength in the paramagnetic and diamagnetic phase is non-monotonic. Our low-energy analysis complements lattice QCD that is currently operating at higher temperatures and stronger magnetic fields.