论文标题
在大限制中，骨髓和费米子Qed中的高旋转电流略有破损
Slightly broken higher-spin current in bosonic and fermionic QED in the large-$N$ limit
论文作者
论文摘要
我们研究了$ \ mathrm {u}（1）$ gauge字段的各种CFT中略有破损的高旋转电流，包括三级QED，标量QED，Fermionic QED和Qed-Gross-neveu-yukawa理论。我们通过使用经典的非保守方程和运动方程来计算它们的异常维度。我们在大型旋转$ S $处发现异常维度的对数渐近行为（$γ_s\ sim \ sim \ sim \ sim \ sim \ sim 16/（nπ^2）\ log s $），这与其他没有规格场的交互的CFT不同，并且可能指出某些规范理论的某些独特特征。我们还研究了$ \ mathrm {su}（n）_1 $ wzw型号的略微破裂的高旋转电流，$ d = 2+ε$尺寸通过将它们作为QED理论提出，我们再次发现其异常维度具有与旋转相对的异常行为。该结果解决了关于在$ d = 2+ε$尺寸下打破较高自旋流的机制的奥秘，并且可能适用于其他有趣的问题，例如$ 2+ε$扩展Ising CFT。
We study the slightly broken higher-spin currents in various CFTs with $\mathrm{U}(1)$ gauge field, including the tricritical QED, scalar QED, fermionic QED and QED-Gross-Neveu-Yukawa theory. We calculate their anomalous dimension by making use of the classical non-conservation equation and the equations of motion. We find a logarithmic asymptotic behaviour ($γ_s\sim 16/(Nπ^2) \log s $) of the anomalous dimension at large spin $s$, which is different from other interacting CFTs without gauge fields and may indicate certain unique features of gauge theories. We also study slightly broken higher-spin currents of the $\mathrm{SU}(N)_1$ WZW model at $d=2+ε$ dimensions by formulating them as the QED theory, and we again find its anomalous dimension has a logarithmic asymptotic behaviour with respect to spin. This result resolves the mystery regarding the mechanism of breaking higher spin currents of Virasoro symmetry at $d=2+ε$ dimensions, and may be applicable to other interesting problems such as the $2+ε$ expansion of Ising CFT.
