论文标题
在存在非金属和扭转的情况下，最小耦合
Minimal coupling in presence of non-metricity and torsion
论文作者
论文摘要
我们处理一个问题，即在存在扭转和/或非金属的情况下定义最小耦合处方的含义，仔细解释幼稚的替代$ \ partial \ to \ na $在物质领域之间引入了额外的耦合，并且在潮流和/或非计量的情况下可以将其视为非最终信息。我们还将研究在动作级别（MCPL）或场方程级别（MCPF）处的最小耦合处方会导致不同的动力学。为此，我们将首先根据一般的非利曼式空间的协变量为物质字段编写Euler-Lagrange方程，并衍生相关的Noether电流和电荷的形式。然后，我们将看到，如果在我们讨论时应用最小的耦合处方，对于旋转0和1字段，MCPL和MCPF的结果是等效的，而对于Spin 1/2磁场，则如果使用MCPF或MCPL，则有差异，因为前者前者负责违规行为。
We deal with the question of what it means to define a minimal coupling prescription in presence of torsion and/or non-metricity, carefully explaining while the naive substitution $\partial\to\na$ introduces extra couplings between the matter fields and the connection that can be regarded as non-minimal in presence of torsion and/or non-metricity. We will also investigate whether minimal coupling prescriptions at the level of the action (MCPL) or at the level of field equations (MCPF) lead to different dynamics. To that end, we will first write the Euler-Lagrange equations for matter fields in terms of the covariant derivatives of a general non-Riemannian space, and derivate the form of the associated Noether currents and charges. Then we will see that if the minimal coupling prescriptions is applied as we discuss, for spin 0 and 1 fields the results of MCPL and MCPF are equivalent, while for spin 1/2 fields there is a difference if one applies the MCPF or the MCPL, since the former leads to charge violation.
