EFT从p-方案扩张至$ε$ -方案中的RMT
Dilaton EFT from p-regime to RMT in the $ε$-regime
摘要：
本文报道了低能有效场论（EFT）的新结果，该场论包括一个强耦合近共形规范理论中描述出射光标量的介子场，该规范理论具有${ 0^{++} }$量子数，在SU（3）色规范群的二指数对称（六重态）表象中具有无质量费米子味偶。在行走的客厅里，基于观测到的光标量、强耦合下的小$β$ -函数和手征凝聚体的大反常尺度，引入了EFT假设，以检验它是否解释了连接手征对称性破缺的渐近自由紫外不动点和远红外尺度的缓慢变化的近尺度不变物理。在这份报告中，在小康普顿波长限制的戈德斯通玻色子相对于晶格体积的大小（p-制度），并在限制时，戈德斯通波长超过体积的大小（$ε$制度）的标度对称性破缺的EFT签名的特征EFT探测。随机矩阵理论（RMT）分析的狄拉克EFT的最低部分的狄拉克频谱中的$ε$制度直接测试预测的基本EFT参数。的预测，敏感的选择的π介子的潜力，是有限的p-制度之前，使用外推从远高于手征极限与未经测试的不确定性。$ε$机制的EFT分析最早是在\cite{Fodor:2019vmw}中提出的，一些结果在这次会议上提出，我们在会后继续进行分析，以促进讨论。
英文摘要：
New results are reported from tests of a low-energy effective field theory (EFT) that includes a dilaton field to describe the emergent light scalar with ${ 0^{++} }$ quantum numbers in the strongly coupled near-conformal gauge theory with a massless fermion flavor doublet in the two-index symmetric (sextet) representation of the SU(3) color gauge group. In the parlor of walking --- based on the observed light scalar, the small $β$-function at strong coupling, and the large anomalous scale dimension of the chiral condensate --- the dilaton EFT hypothesis is introduced to test if it explains the slowly changing nearly scale invariant physics that connects the asymptotically free UV fixed point and the far-infrared scale of chiral symmetry breaking. The characteristic dilaton EFT signatures of scale symmetry breaking are probed in this report in the small Compton wavelength limit of Goldstone bosons relative to the size of the lattice volume (p-regime) and in the limit when the Goldstone wavelength exceeds the size of the volume ($ε$-regime). Random matrix theory (RMT) analysis of the dilaton EFT is applied to the lowest part of the Dirac spectrum in the $ε$-regime to directly test predictions for the fundamental EFT parameters. The predictions, sensitive to the choice of the dilaton potential, were limited before to the p-regime, using extrapolations from far above the chiral limit with untested uncertainties. The dilaton EFT analysis of the $ε$-regime was first suggested in \cite{Fodor:2019vmw}, with some results presented at this conference and with our continued post-conference analysis added to stimulate discussions.
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