Two-flavor adjoint QCD
Two-flavor adjoint QCD
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DOI：
10.1103/physrevd.98.034026
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发表时间：
2018-05
影响因子：
5
通讯作者：
M. Anber;E. Poppitz
中科院分区：
文献类型：
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作者：
M. Anber;E. Poppitz
本文研究了具有两个无质量伴随Weyl费米子的四维SU（2）Yang-Mills理论。当在尺寸$L$远小于强耦合尺度的空间圆上紧化时，该理论可以通过弱耦合非微扰半经典方法求解。我们研究了在R ^4极限下对称性的可能实现，发现所有连续和离散的0-形式和1-形式的t Hooft反常匹配条件都被一个对称性实现和无质量谱所饱和，这与在小L极限下发现的对称性实现和无质量谱完全相同，在红外线上只有一个无质量的味双重费米子.这一观察提出了这样一种可能性，即在可解析解的小尺寸圆和强耦合的无限尺寸圆之间没有相变的理论比以前认为的要大，并为晶格研究提供了新的挑战。
We study four dimensional $SU(2)$ Yang-Mills theory with two massless adjoint Weyl fermions. When compactified on a spatial circle of size $L$ much smaller than the strong-coupling scale, this theory can be solved by weak-coupling nonperturbative semiclassical methods. We study the possible realizations of symmetries in the $\mathbb R^4$ limit and find that all continuous and discrete $0$-form and $1$-form 't Hooft anomaly matching conditions are saturated by a symmetry realization and massless spectrum identical to that found in the small-$L$ limit, with only a single massless flavor-doublet fermion in the infrared. This observation raises the possibility that the class of theories which undergo no phase transition between the analytically-solvable small-size circle and strongly-coupled infinite-size circle is larger than previously thought, and offers new challenges for lattice studies.