自旋网络缺陷的非阿贝尔规范场
Non-abelian Gauge Fields from Defects in Spin-Networks
摘要：
\emph{Effective}规范场产生于对凝聚态中石墨烯晶格缺陷动力学的描述。晶格/自旋网络的相邻节点之间的相互作用由哈伯德模型描述，其长距离的有效场论由\emph{emergent}规范场的狄拉克方程给出。所讨论的自旋网络可以用来描述在平坦时空中以恒定加速度沿给定方向运动的非惯性观测者所经历的几何。我们期望这样的自旋网络能够描述圈量子引力中黑洞的量子视界结构。我们认为，阿贝尔和非阿贝尔规范场的标准模型可以确定的涌现自由度所需的对称性约化自旋网络中的缺陷的动力学。
英文摘要：
\emph{Effective} gauge fields arise in the description of the dynamics of defects in lattices of graphene in condensed matter. The interactions between neighboring nodes of a lattice/spin-network are described by the Hubbard model whose effective field theory at long distances is given by the Dirac equation for an \emph{emergent} gauge field. The spin-networks in question can be used to describe the geometry experienced by a non-inertial observer in flat spacetime moving at a constant acceleration in a given direction. We expect such spin-networks to describe the structure of quantum horizons of black holes in loop quantum gravity. We argue that the abelian and non-abelian gauge fields of the Standard Model can be identified with the emergent degrees of freedom required to describe the dynamics of defects in symmetry reduced spin-networks.
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