论文标题
对物质beta功能的非呈现引力贡献,以消除尺寸调节器
Nonvanishing gravitational contribution to matter beta functions for vanishing dimensionful regulators
论文作者
论文摘要
我们探讨了量子重力对重新归一化组框架内物质的影响。首先,我们的结果提供了一个明确的例子,说明如何通过分析对β函数的重力贡献,而不是分析可以从beta函数中提取的通用数量(例如关键指数)来得出误导性结论。这可能是解释扰动研究与功能重新归一化组研究之间差异的关键。其次,我们加强了一个证据,即渐近安全的重力可以为具有量规相互作用的物质理论产生预测性的紫外线,即使在消失的尺寸调节函数的极限也是如此。我们还发现,通过高阶,重力诱导的物质相互作用,情况可能会更加微妙。
We explore the effect of quantum gravity on matter within a Renormalization Group framework. First, our results provide an explicit example of how misleading conclusions can be drawn by analyzing the gravitational contributions to beta functions, instead of analyzing universal quantities, such as critical exponents, that can be extracted from the beta functions. This could be key to explain differences between perturbative studies and Functional Renormalization Group studies. Second, we strengthen the evidence that asymptotically safe gravity could generate a predictive ultraviolet completion for matter theories with gauge interactions, even in the limit of vanishing dimensionful regulator function. We also find that the situation can be more subtle with higher-order, gravity-induced matter interactions.