Strong Coupling Quantum Einstein Gravity at a z=2 Lifshitz Point
Strong Coupling Quantum Einstein Gravity at a z=2 Lifshitz Point
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DOI：
10.1103/physrevd.79.124038
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发表时间：
2009-05
影响因子：
5
通讯作者：
M. Sakamoto
中科院分区：
文献类型：
--
作者：
M. Sakamoto
我们求解了D+1维爱因斯坦引力的重整化Wheeler-DeWitt方程，其中D=\mathrm{\text{odd}}$在强耦合极限下，预计这将适合于探测短距离的量子几何，为了检验Ho\ifmmode \check{r}\else \v{r}\fi{}ava的观点，即短距离的量子引力将由具有动力学临界指数的非相对论系统描述。zg1$.我们的结果支持这一想法，并表明，惠勒-德维特方程具有与$z=2$ Lifshitz点，但没有其他的$zg 2 $解决方案，以领先的强耦合扩展的解决方案。
We solve a renormalized Wheeler-DeWitt equation for Einstein gravity in $D+1$ dimensions with $D=\mathrm{\text{odd}}$ in the strong coupling limit, which is expected to be suited to probe quantum geometry at short distances, in order to test Ho\ifmmode \check{r}\else \v{r}\fi{}ava's idea that quantum gravity at short distances will be described by a nonrelativistic system with dynamical critical exponent $zg1$. Our results support the idea and show that the Wheeler-DeWitt equation possesses a solution associated with a $z=2$ Lifshitz point but no other $zg2$ solutions to leading order of the strong coupling expansion.