论文标题
$ε$ - 利用
Dilaton EFT from p-regime to RMT in the $ε$-regime
论文作者
论文摘要
根据低能能有效田间理论（EFT）的测试报告了新结果，该测试包括Dilaton领域，以$ {0^{++}} $量子数字在强烈耦合的近乎正式的量表理论中使用$ {0^{++}} $量子数，并在两index somemetric（sext sext）中具有无数质量的费米风味double（sext suext suextication s suextection）（3）。 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.在本报告中，在巨石玻色子的小康普顿波长极限中，相对于晶格体积的大小（p-grigime），在本报告中探测了比例对称破裂的特征性DILATON EFT签名，当金石波长超过体积的大小时（$ε$ -Regimime）。 DILATON EFT的随机矩阵理论（RMT）分析应用于$ε$ - 优质中的Dirac Spectrum的最低部分，以直接测试基本EFT参数的预测。对DILATON电位的选择敏感的预测在P-Legime之前受到限制，并使用未经测试的不确定性从高于手性极限的外推。首先在\ cite {fodor：2019vmw}中提出了$ε$ - 政权的dilaton eft分析，并在本次会议上提出了一些结果，并在会议后进行了持续的会议分析以刺激讨论。
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.
