de Sitter时空中的磁催化与费米子质量产生
Magnetic Catalysis and Fermion Mass Generation in de Sitter Spacetime
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中文总结 AI 辅助
该研究利用NJL模型，结合Bunch–Davies真空条件，分析de Sitter时空中带电费米子的动力学，发现曲率恢复手征对称性、磁场增强手征对称性破缺，还揭示了相关相结构。
中文摘要 AI 辅助
我们考虑在均匀背景磁场存在时de Sitter空间中带电费米子的动力学，并利用Nambu–Jona-Lasinio（NJL）模型讨论手征对称性破缺的磁催化效应。我们通过施加Bunch–Davies真空条件计算该背景下带电费米子场的模式函数，在平均场近似下求解能隙方程。我们推导了若干极限区域的能隙解析表达式，如强磁场极限和大曲率极限。研究发现，曲率效应会恢复手征对称性，而磁场则通过磁催化的常规机制增强手征对称性破缺；数值计算揭示了与手征对称性破缺相关的相结构。
英文摘要
We consider the dynamics of a charged fermion in de Sitter space in the presence of a uniform background magnetic field, and discuss magnetic catalysis of chiral symmetry breaking using the Nambu--Jona-Lasinio (NJL) model. We evaluate the mode functions of the charged fermion field in this background by imposing the Bunch--Davies vacuum condition. The gap equation is solved in the mean-field approximation. We derive analytic expressions for the gap in several limiting regimes, such as the large-magnetic-field and large-curvature limits. We find that the curvature effect restores chiral symmetry, whereas the magnetic field enhances chiral symmetry breaking through the conventional mechanism of magnetic catalysis. The phase structure associated with chiral symmetry breaking is revealed by numerical calculations.
