非对称度规理论对粒子物理的意义。泡利耦合的新解释
Implications of nonsymmetric metric theories for particle physics. New interpretation of the Pauli coupling
摘要:
在这项工作中,我们提供了一个可能的几何解释的自旋的基本粒子。特别是,它是研究如何改变物质的波动方程的反对称贡献的度量张量。在这种情况下,物质波方程的显式形式的一般弯曲的时空中进行了研究,然后方程被特殊化到平坦的情况。与NGT的传统方法不同,在NGT中,引力场负责打破平坦Minkowski度规的对称性,我们发现更自然地考虑,在一般情况下,即使在平坦的情况下,时空的度规也可以是非对称的。这种假设的物理后果进行了详细探讨。有趣的是,我们发现度规张量分裂成玻色子和费米子;度规的反对称部分对自旋非常敏感,对于无自旋标量粒子来说是不可检测的。然而,费米子以一种非平凡的方式与它耦合(只有当存在相互作用时)。另外,由于度规的非对称性,泡利耦合也是自动导出的
英文摘要:
In this work we provide a possible geometrical interpretation of the spin of elementary particles. In particular, it is investigated how the wave equations of matter are altered by the addition of an antisymmetric contribution to the metric tensor. In this scenario the explicit form of the matter wave equations is investigated in a general curved space-time, and then the equations are particularized to the flat case. Unlike traditional approaches of NGT, in which the gravitational field is responsible for breaking the symmetry of the flat Minkowski metric, we find more natural to consider that, in general, the metric of the space-time could be nonsymmetric even in the flat case. The physical consequences of this assumption are explored in detail. Interestingly enough, it is found that the metric tensor splits into a bosonic and a fermionic; the antisymmetric part of the metric is very sensitive to the spin and turns out to be undetectable for spinless scalar particles. However, fermions couple to it in a non-trivial way (only when there are interactions). In addition, the Pauli coupling is derived automatically as a consequence of the nonsymmetric nature of the metric
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