论文标题
总体理论中的固定点行
Line of Fixed Points in Gross-Neveu Theories
论文作者
论文摘要
在许多fermion风味的极限中，证明了三个维度的六元格式理论显示出相互作用的紫外线固定点的线，其特征在于完全边缘的六个相互作用。我们使用肾小球化组方法确定了UV-Complete理论，通用缩放维度和相图的共形窗口。无数理论自然出现，质量的产生在不破坏离散对称性的情况下进行。突出显示了与大$ n $的关键标量理论的惊人相似之处，并指出了共形场理论和ADS/CFT猜想的含义。
In the limit of many fermion flavors it is demonstrated that the sextic Gross-Neveu theory in three dimensions displays a line of interacting UV fixed points, characterised by an exactly marginal sextic interaction. We determine the conformal window of UV-complete theories, universal scaling dimensions, and the phase diagram using renormalisation group methods. Massless theories arise naturally, and the generation of mass proceeds without the breaking of a discrete symmetry. Striking similarities with critical scalar theories at large $N$ are highlighted, and implications from the viewpoint of conformal field theory and the AdS/CFT conjecture are indicated.
