论文标题
关于Lifshitz型场理论的正规化
On the regularization of Lifshitz-type field theories
论文作者
论文摘要
我们考虑使用Lorentz对称性的明确破坏LifShitz型标量理论，此外，这些对称性在紫外线固定点附近表现出各向异性缩放定律。仅在空间坐标上使用适当的时间正则化方法，我们在此类理论中得出了单循环有效电位的正则形式。我们研究了一环有效电位的主要特征，还研究了IR和UV制度中规模依赖性电位的RG流动。耦合的β函数是得出的。
We consider Lifshitz-type scalar theories with explicit breaking of the Lorentz symmetry that, in addition, exhibit anisotropic scaling laws near the ultraviolet fixed point. Using the proper time regularization method on the spatial coordinates only, we derive the regularized form of the one-loop effective potential in such theories. We study the main features of the one-loop effective potential and, also, the RG flow of the scale-dependent potential both in the IR and UV regimes. The beta functions for the couplings are derived.
