Asymptotic safety of gravity coupled to matter
Asymptotic safety of gravity coupled to matter
复制标题
引力与物质耦合的渐近安全性
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
D. Perini
中科院分区：
文献类型：
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作者：
R. Percacci;D. Perini
对纯引力UV极限的非微扰处理表明，它存在一个稳定的不动点，该不动点具有正的牛顿常数和宇宙学常数。我们证明了这个结果是稳定的标量场与一般的潜力和非最小耦合的标量曲率下添加。存在一个固定点，在该点上质量和所有非最小标量相互作用消失，而引力耦合的值几乎与纯引力情况下的值相同。我们讨论了这个不动点周围的线性化流动，发现临界面是四维的。在存在其他任意无质量的最小耦合物质场的情况下，不动点的存在、宇宙常数的符号和临界面的维数取决于场的类型和数量。特别地，对于某些物质含量，存在多项式渐近自由标量势，这表明了著名的平凡问题的引力解。
Nonperturbative treatments of the UV limit of pure gravity suggest that it admits a stable fixed point with a positive Newton constant and a cosmological constant. We prove that this result is stable under the addition of a scalar field with a generic potential and nonminimal coupling to the scalar curvature. There is a fixed point where the mass and all nonminimal scalar interactions vanish, while the gravitational couplings have values which are almost identical to those in the pure gravity case. We discuss the linearized flow around this fixed point and find that the critical surface is four dimensional. In the presence of other, arbitrary, massless minimally coupled matter fields, the existence of the fixed point, the sign of the cosmological constant, and the dimension of the critical surface depend on the type and number of fields. In particular, for some matter content, there exist polynomial asymptotically free scalar potentials, suggesting a gravitational solution to the well-known problem of triviality.