AI 中文总结
研究\(3 + 1d\)标量QED模型，通过在朗道能级基下工作，给出了自对偶背景下物质场传播子的封闭形式有限表达式，为带电粒子在电磁场中提供玩具模型，可扩展到相关物理研究。
AI 中文摘要
在这项工作中，我们给出了一个处于恒定自对偶磁场构型的\(3 + 1d\)标量QED模型。我们提供了配分函数、\(\beta\)函数和传播子的精确封闭形式解析计算。据我们所知，我们给出了自对偶背景下物质场传播子的首个封闭形式有限表达式，这通过完全在朗道能级基下工作得以实现。该理论可作为平行电场和磁场中带电粒子的玩具模型，自然可扩展到对\(3 + 1d\)手征磁效应和脉冲星物理的研究。
英文摘要
In this work, we present a \(3+1d\) scalar QED model in a constant self-dual magnetic field configuration. We provide exact closed form analytic calculations of the partition function, the \(β\)-function, and the propagators. To our knowledge, we present the first closed-form finite expression for the matter field propagators in a self-dual background, which is made accessible by working entirely in the Landau level basis. This theory serves as a toy model for charged particles in parallel electric and magnetic fields, with natural extensions to studies of \(3+1d\) chiral magnetic effects and pulsar physics.
