强耦合动力学中的大质量族
Large mass hierarchies from strongly-coupled dynamics
摘要：
在大型强子对撞机，这似乎意味着存在大质量的层次结构的新物理信号的情况下，我们的动机调查的理论可能性，这些可能会出现在新的强耦合规范理论扩展粒子物理学的标准模型动态。为此，我们研究了格点数据的非阿贝尔规范理论在（近）共形制度-具体地说，$\mathrm{SU}(2)$与$N_{\mathrm{f}}=1$和$2$动力学费米子味的伴随表示。我们把我们的注意力集中在最轻的自旋2和自旋0共振的质量之间的比率$R$，并绘制一个简单的玩具模型的规范/重力对偶的背景下进行比较。对于大的反常尺寸动态出现的模型，我们表明，这种质量比可以很大，与$R > 5$。此外，我们的结果表明，$R$可能与IR不动点的普适性质有关.我们的研究结果提供了一个有趣的一步了解大质量比的非微扰制度的量子场论（近）红外共形行为。
英文摘要：
Motivated by the absence of signals of new physics at the LHC, which seems to imply the presence of large mass hierarchies, we investigate the theoretical possibility that these could arise dynamically in new strongly-coupled gauge theories extending the standard model of particle physics. To this purpose, we study lattice data on non-Abelian gauge theories in the (near-)conformal regime---specifically, $\mathrm{SU}(2)$ with $N_{\mathrm{f}}=1$ and $2$ dynamical fermion flavours in the adjoint representation. We focus our attention on the ratio $R$ between the masses of the lightest spin-2 and spin-0 resonances, and draw comparisons with a simple toy model in the context of gauge/gravity dualities. For models in which large anomalous dimensions arise dynamically, we show indications that this mass ratio can be large, with $R > 5$. Moreover, our results suggest that $R$ might be related to universal properties of the IR fixed point. Our findings provide an interesting step towards understanding large mass ratios in the non-perturbative regime of quantum field theories with (near) IR conformal behaviour.
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