论文标题
为强耦合量规理论保证的渐近安全
Asymptotic safety guaranteed for strongly coupled gauge theories
论文作者
论文摘要
我们证明，相互作用的紫外线固定点在四个维度上存在于强耦合处，并且远离$ n $ $ n $ veneziano限制。这是通过使用重态化组和超对称性的精确方法的，具有手性质和超势相互作用的半简单超对称理论的示例性。我们确定紫外线固定点的整个超符号窗口，这是场倍数的函数。结果符合$ a $ a-a-theorem，在保形费用，塞伯格二元性和统一方面的界限。我们还发现Leigh-Strassler模型的歧管表现出红外固定点的线条。在弱耦合时，使用扰动理论最多三个循环证实了发现。提供了低场多重性的基准模型，其中包括具有标准〜模型仪扇区的示例。指示对粒子物理，模型构建和保形场理论的影响。
We demonstrate that interacting ultraviolet fixed points in four dimensions exist at strong coupling, and away from large-$N$ Veneziano limits. This is established exemplarily for semi-simple supersymmetric gauge theories with chiral matter and superpotential interactions by using the renormalisation group and exact methods from supersymmetry. We determine the entire superconformal window of ultraviolet fixed points as a function of field multiplicities. Results are in accord with the $a$-theorem, bounds on conformal charges, Seiberg duality, and unitary. We also find manifolds of Leigh-Strassler models exhibiting lines of infrared fixed points. At weak coupling, findings are confirmed using perturbation theory up to three loop. Benchmark models with low field multiplicities are provided including examples with Standard~Model-like gauge sectors. Implications for particle physics, model building, and conformal field theory are indicated.
