论文标题
Randers-Finsler时空中的现场理论
A field theory in Randers-Finsler spacetime
论文作者
论文摘要
Finsler几何形状是一个天然的舞台，可在违反当地洛伦茨的空间进行物理学。 Finsler指标的定向依赖性提供了一种将lorentz违反效果编码到时空几何结构中的方法。在这里，在特殊的Finsler几何形状，即所谓的Randers-Finsler Spacetime中提出了经典的田地理论，其中洛伦兹违反了背景矢量场。通过将Randers-Finsler指标推广到差异操作员，提出了针对标量，仪表和费米子的Finsler不变性动作。该理论包含非局部术语，就像基于非常特殊的相对论理论一样。通过扩展拉格朗日，出现了最小和非最小的标准模型扩展项，从而揭示了扰动的lorentz违规。对于cpt-e-ther，获得了Carrol-Field-Jackiw和衍生延伸。
Finsler geometry is a natural arena to investigate the physics of spacetimes with local Lorentz violating. The directional dependence of the Finsler metric provides a way to encode the Lorentz violating effects into the geometric structure of spacetime. Here, a classical field theory is proposed in a special Finsler geometry, the so-called Randers-Finsler spacetime, where the Lorentz violation is produced by a background vector field. By promoting the Randers-Finsler metric to a differential operator, a Finsler-invariant action for the scalar, gauge and fermions are proposed. The theory contains nonlocal terms, as in the Very Special Relativity based theories. By expanding the Lagrangian, minimal and nonminimal Standard Model Extension terms arises, revealing a perturbative Lorentz violation. For a CPT-even term, the Carrol-Field-Jackiw and derivative extensions are obtained.
