论文标题
一项关于具有质量尺寸的规范重力的试点研究
A pilot study on canonical gravity with mass dimension one fermions
论文作者
论文摘要
质量尺寸一（MDO）费米子场建立在电荷共轭操作员的一组完整的双螺旋特征派上，遵循Fermi-Dirac的统计数据。这些纺纱器是描述暗物质的潜在候选者。该对象的双重结构的重新定义具有局部相邻的理论，并满足了洛伦兹的完全不变性。在这项工作中，我们根据ADM形式主义的规范表述，研究了这种费米恩与重力的相互作用的重要方面。我们使用带有MDO物质字段的类似太空表面$σ_T$的歧管在四个场上构建动作，此外，我们提出了一种条件，即该动作具有与暗能量相关的术语。我们发现，汉密尔顿和差异性约束在经典水平的重力动态水平上，将这种材料含量浸入时空中，这使我们对暗物质能量密度的贡献进行了解释，这与叶子的失去函数及其能量密度的散发性磁通量相似。
The mass dimension one (MDO) fermionic field is built on a complete set of dual-helicity eigenspinors of the charge conjugation operator, which obeys the statistic of Fermi-Dirac. These spinors are a potential candidate for the description of dark matter. The redefinition of the dual structure of this object holds a local adjacent theory and satisfies complete Lorentz invariance. In this work, we investigate important aspects of the interaction of this fermion with gravity in the light of a canonical formulation in ADM formalism. We construct an action via tetrad fields using a manifold on a family of space-like surfaces $Σ_t$ that carries the MDO matter field, and additionally we propose a condition for the action to have a term associated with dark energy. We found the Hamiltonian and diffeomorphism constraints at the classical level for gravitational dynamics with the immersion of this material content in space-time, which leads us to the interpretation of the contribution of dark matter energy density, parallel to the lapse function of foliation and its directional flux of energy density in the hypersurface of manifold.
