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arXiv 0905.4326hep-th
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z=2 Lifshitz点上的强耦合量子Einstein引力

Strong Coupling Quantum Einstein Gravity at a z=2 Lifshitz Point

Makoto Sakamoto

摘要:

为了验证Horava关于短程量子引力可用一个动力学临界指数z>1的非相对论系统描述的观点,我们求解了D+1维爱因斯坦引力的重正化Wheeler-DeWitt方程,其中D=奇数.我们的结果支持了这一观点,并表明Wheeler-DeWitt方程具有与z=2 Lifshitz点相关联的解,而没有其它z>2的强耦合展开式的首阶解.

英文摘要:

We solve a renormalized Wheeler-DeWitt equation for Einstein gravity in D+1 dimensions with D= odd in the strong coupling limit, which is expected to be suited to probe quantum geometry at short distances, in order to test Horava's idea that quantum gravity at short distances will be described by a nonrelativistic system with dynamical critical exponent z>1. 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 z>2 solutions to leading order of the strong coupling expansion.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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