Hyperscaling relations in mass-deformed conformal gauge theories
Hyperscaling relations in mass-deformed conformal gauge theories
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DOI：
10.1103/physrevd.82.014502
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发表时间：
2010-05
影响因子：
5
通讯作者：
L. Debbio;R. Zwicky
中科院分区：
文献类型：
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作者：
L. Debbio;R. Zwicky
我们提出了一些分析结果，应指导解释晶格数据的理论与红外固定点（IRFP）变形的质量项？L =-mq？Q.从重整化群（RG）的参数，我们得到的领先标度指数，F？你好吗？F，对于除受手征反常和张量反常影响的最低能级的所有衰变常数。这些标度关系提供了一个明确的方式来区分一个理论与IRFP从一个封闭的理论与重费米子。此外，我们提出了一个推导有关的缩放？q？q？？你好吗？q？q的缩放密度的本征值的无质量狄拉克运营商？(?)??? q？Q. RG参数屈服？q？q =（3-？*）/（1+？*）作为质量反常维度的函数？*在IRFP。的参数可以推广到其他冷凝物，如？G2？？m4/（1+？*）。我们描述了一个启发式的推导结果的冷凝物，它提供了有趣的不同方法之间的连接。我们的结果与已有的SU（2）双伴随Dirac费米子的数值研究结果进行了比较
We present a number of analytical results which should guide the interpretation of lattice data in theories with an infrared fixed point (IRFP) deformed by a mass term ?L=-mq? q. From renormalization group (RG) arguments we obtain the leading scaling exponent, F?m?F, for all decay constants of the lowest lying states other than the ones affected by the chiral anomaly and the tensor ones. These scaling relations provide a clear cut way to distinguish a theory with an IRFP from a confining theory with heavy fermions. Moreover, we present a derivation relating the scaling of ?q? q??m?q? q to the scaling of the density of eigenvalues of the massless Dirac operator ?(?)???q? q. RG arguments yield ?q? q=(3-?*)/(1+?*) as a function of the mass anomalous dimension ?* at the IRFP. The arguments can be generalized to other condensates such as ?G2??m4/(1+?*). We describe a heuristic derivation of the result on the condensates, which provides interesting connections between different approaches. Our results are compared with existing data from numerical studies of SU(2) with two adjoint Dirac fermions