渐近安全性的非最小提示
Nonminimal hints for asymptotic safety
摘要:
在引力的渐近安全假设中,紫外线中存在非零相互作用。这种属性也应该渗透到物质部门。基于对称性的论证表明,标量与曲率张量的非最小导数相互作用因此应该存在于紫外区。我们进行了非最小的渐近安全的情况下的可行性测试工作在截断的重整化群流,在那里我们发现存在一个相互作用的不动点相应的非最小耦合。这种非最小相互作用的反向耦合可能反过来破坏重力扇区中的渐近安全不动点。作为一个关键的发现,我们观察到的非平凡指标的影响下的不动点性质的稳定性的非最小衍生物的相互作用,进一步加强的情况下,在重力物质系统的渐近安全。
英文摘要:
In the asymptotic-safety scenario for gravity, nonzero interactions are present in the ultraviolet. This property should also percolate into the matter sector. Symmetry- based arguments suggest that nonminimal derivative interactions of scalars with curvature tensors should therefore be present in the ultraviolet regime. We perform a nonminimal test of the viability of the asymptotic-safety scenario by working in a truncation of the Renormalization Group flow, where we discover the existence of an interacting fixed point for a corresponding nonminimal coupling. The back-coupling of such nonminimal interactions could in turn destroy the asymptotically safe fixed point in the gravity sector. As a key finding, we observe nontrivial indications of stability of the fixed-point properties under the impact of nonminimal derivative interactions, further strengthening the case for asymptotic safety in gravity-matter systems.
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