Bootstrapping phase transitions in QCD and frustrated spin systems
Bootstrapping phase transitions in QCD and frustrated spin systems
复制标题
QCD 和受挫自旋系统中的引导相变
DOI：
10.1103/physrevd.91.021901
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发表时间：
2015
影响因子：
5
通讯作者：
Tomoki Ohtsuki
中科院分区：
文献类型：
--
作者：
Yu Nakayama;Tomoki Ohtsuki
考虑到它在预测QCD和阻挫自旋系统中手征相变阶数的物理重要性，我们进行了一维[]-对称共形场论的共形引导程序，特别关注和4.具有这些对称性的重整化群不动点的存在性多年来一直存在争议，但我们的共形引导程序提供了非微扰证据。在和4种情况下，我们发现在两个不同的扇区中算子的标度维数的界中存在奇异行为，我们声称这两个扇区分别对应于手征和共线不动点。与较大的值的情况相比，我们没有发现反手性不动点的证据。我们的结果表明，在QCD和阻挫自旋系统的手征相变的可能性是连续的临界指数，我们预测从共形引导程序。
In view of its physical importance in predicting the order of chiral phase transitions in QCD and frustrated spin systems, we perform the conformal bootstrap program of []-symmetric conformal field theories indimensions with a special focus onand 4. The existence of renormalization group fixed points with these symmetries has been controversial over the years, but our conformal bootstrap program provides nonperturbative evidence. In both theand 4 cases, we find singular behaviors in the bounds of scaling dimensions of operators in two different sectors, which we claim correspond to chiral and collinear fixed points, respectively. In contrast to the cases with larger values of, we find no evidence for the antichiral fixed point. Our results indicate the possibility that the chiral phase transitions in QCD and frustrated spin systems are continuous with the critical exponents that we predict from the conformal bootstrap program.