Hidden conformal symmetry from the lattice
Hidden conformal symmetry from the lattice
复制标题
DOI：
10.1103/physrevd.108.l091505
复制
发表时间：
2023-05
影响因子：
5
通讯作者：
L. C. T. Appelquist;R. Brower;K. Cushman;G. Fleming;A. Gasbarro;A. Hasenfratz;J. Ingoldby;
中科院分区：
文献类型：
--
作者：
L. C. T. Appelquist;R. Brower;K. Cushman;G. Fleming;A. Gasbarro;A. Hasenfratz;J. Ingoldby;
我们分析了在基本表象中有八个狄拉克费米子的SU（3）规范理论的格点研究中新扩展和改进的数据。我们专注于从这些研究中出现的光复合态，由一组pseudoscalars和一个单一的光标量。我们首先考虑这个理论刚好在共形窗口之外的观点。在这种情况下，赝标量产生于手征对称性的自发破缺。识别标量在这种情况下，作为一个近似的介子，我们适合的晶格数据的介子有效场理论，发现它产生一个很好的拟合，即使在最低阶。为了比较，我们考虑理论在共形窗内的可能性。费米子质量提供了一种变形，触发了约束。我们采用简单的标度律来拟合晶格数据，发现它的质量较差。
We analyze newly expanded and refined data from lattice studies of an SU(3) gauge theory with eight Dirac fermions in the fundamental representation. We focus on the light composite states emerging from these studies, consisting of a set of pseudoscalars and a single light scalar. We first consider the view that this theory is just outside the conformal window. In this case, the pseudoscalars arise from spontaneous breaking of chiral symmetry. Identifying the scalar in this case as an approximate dilaton, we fit the lattice data to a dilaton effective field theory, finding that it yields a good fit even at lowest order. For comparison, we then consider the possibility that the theory is inside the conformal window. The fermion mass provides a deformation, triggering confinement. We employ simple scaling laws to fit the lattice data, and find that it is of lesser quality.