论文标题
临界费用自发损坏的比例对称性
Critical Fermions with Spontaneously Broken Scale Symmetry
论文作者
论文摘要
我们研究了三个欧几里得维度的相对论费，具有四型和六弗斯的相互作用。在许多费米香气的极限中，除了孤立的自由固定点外，该理论还显示了相互作用的紫外线固定点的线。在临界线的端点，我们确定质量是通过量子尺度不变性的自发破裂而产生的。奇怪的是，破碎的平价对称是自发产生质量而不是后果的先决条件。我们还计算关键指数，并发现违反了高标准关系。讨论了与关键标量理论的进一步相似之处，以及对共形场理论和更高旋转理论的影响。
We study relativistic fermions in three euclidean dimensions with four- and six-fermion interactions of the Gross-Neveu type. In the limit of many fermion flavors, and besides the isolated free fixed point, the theory displays a line of interacting ultraviolet fixed points. At the endpoint of the critical line, we establish that mass is generated through the spontaneous breaking of quantum scale invariance. Curiously, broken parity symmetry is a prerequisite for the spontaneous generation of mass rather than a consequence thereof. We also calculate critical exponents and find that hyperscaling relations are violated. Further similarities with critical scalar theories, and implications for conformal field theories and higher spin theories are discussed.
