论文标题
隐藏的洛伦兹对称性的动态紧急重力
Dynamically emergent gravity from hidden local Lorentz symmetry
论文作者
论文摘要
重力可以视为局部洛伦兹（LL）对称性的结果，这对于定义弯曲时空中的纺纱场至关重要。重力作用可能会在一定的紫外线截止刻度下允许度量标准的零场极限，从而使该动作成为LL对称性的线性实现。因此，在截止量表的四维引力作用中仅允许使用三种类型的项：宇宙常数，LL场强度的线性项和纺纱动力学项，其系数在LL和diffefemormorphist的一般任意功能中。特别是，除纺纱磁场外，所有动力学术语均被禁止，因此其他场是辅助的。它们的动力学术语，包括LL仪表场和Vierbein的动力学术语。 LL对称性必然是自发折断的，因此不过是隐藏的局部对称性，重力从中出现。
Gravity can be regarded as a consequence of local Lorentz (LL) symmetry, which is essential in defining a spinor field in curved spacetime. The gravitational action may admit a zero-field limit of the metric and vierbein at a certain ultraviolet cutoff scale such that the action becomes a linear realization of the LL symmetry. Consequently, only three types of term are allowed in the four-dimensional gravitational action at the cutoff scale: a cosmological constant, a linear term of the LL field strength, and spinor kinetic terms, whose coefficients are in general arbitrary functions of LL and diffeomorphism invariants. In particular, all the kinetic terms are prohibited except for spinor fields, and hence the other fields are auxiliary. Their kinetic terms, including those of the LL gauge field and the vierbein, are induced by spinor loops simultaneously with the LL gauge field mass. The LL symmetry is necessarily broken spontaneously and hence is nothing but a hidden local symmetry, from which gravity is emergent.
