标题： 高阶导数移位对称理论中的尺度与保共形不变性 显示英文标题

标题： Scale and Conformal Invariance in Higher Derivative Shift Symmetric Theories

摘要： 考虑了具有高阶导数运动项（非幺正）的无限多族移位对称相互作用理论的临界行为。 根据其上限临界维数，分类了单标量移位对称理论，并在微扰论的首要非平凡阶上进行了研究。 对于两个无穷族系，一个具有四次相互作用，另一个具有三次相互作用，计算了 β 函数、临界条件和普适反常维度。 在所考虑的阶数上，三次理论在顶点处具有一圈非重整化特性，因此 β 函数仅依赖于反常维度的非平凡部分。 还研究了能量动量张量的迹，并证明了这两个族系的 QFT 在 RG 流的不动点处是共形不变的。 显示英文摘要

摘要： The critical behavior of infinite families of shift symmetric interacting theories with higher derivative kinetic terms (non unitary) is considered. Single scalar theories with shift symmetry are classified according to their upper critical dimensions and studied at the leading non trivial order in perturbation theory. For two infinite families, one with quartic and one with cubic interactions, beta functions, criticality conditions and universal anomalous dimensions are computed. At the order considered, the cubic theories enjoy a one loop non renormalization of the vertex, so that the beta function depends non trivially only on the anomalous dimension. The trace of the energy momentum tensor is also investigated and it is shown that these two families of QFTs are conformally invariant at the fixed point of the RG flow.