标题： 静态夸克势能在量子引力中 显示英文标题

标题： Static Quark Potentials in Quantum Gravity

摘要： 我们从量子引力与SU(2)规范场在$6^{3}\times 4$和$8^{3}\times 4$单纯形格点上的模拟中，给出了静态电荷之间的势能。 作用量由引力项和规范项组成，其中引力项为Regge的欧几里得爱因斯坦作用量的离散形式，规范项为Wilson作用量，相应的耦合常数分别为$m_{p}^{2}$和$\beta$。 在引力部分定义明确的相中，几何期望值是稳定的，我们研究了Polyakov环的关联性，并提取了源和汇之间距离为$R$时的相应势能。 我们将平坦单纯形格点上的势能与波动的Regge骨架上的势能进行了比较。 在束缚相中，势能具有线性形式，而在非束缚相中，发现了一种被屏蔽的库仑行为。 我们的结果表明，量子引力效应不会破坏由于非阿贝尔规范场导致的束缚。 显示英文摘要

摘要： We present potentials between static charges from simulations of quantum gravity coupled to an SU(2) gauge field on $6^{3}\times 4$ and $8^{3}\times 4$ simplicial lattices. The action consists of the gravitational term given by Regge's discrete version of the Euclidean Einstein action and a gauge term given by the Wilson action, with coupling constants $m_{p}^{2}$ and $\beta$ respectively. In the well-defined phase of the gravity sector where geometrical expectation values are stable, we study the correlations of Polyakov loops and extract the corresponding potentials between a source and sink separated by a distance $R$. We compare potentials on a flat simplicial lattice with those on a fluctuating Regge skeleton. In the confined phase, the potential has a linear form while in the deconfined phase, a screened Coulombic behavior is found. Our results indicate that quantum gravitational effects do not destroy confinement due to non-abelian gauge fields.