强耦合规范理论的渐近安全性
Asymptotic safety guaranteed for strongly coupled gauge theories
摘要：
我们证明了在四维空间中存在相互作用的紫外固定点，在强耦合，并远离大$N$ Veneziano限制。这是建立示范性的半简单的超对称规范理论与手征物质和超势的相互作用，通过使用重整化群和精确的方法从超对称。我们确定整个超共形窗口的紫外不动点作为场多重性的函数。所得结果与$a$ -定理、共形荷的界、Seiberg对偶性和酉性一致.我们还发现流形的Leigh-Strassler模型展示线的红外不动点。在弱耦合，研究结果证实使用微扰理论三个循环。提供了具有低场多重性的基准模型，包括具有标准~模型类规范扇区的示例。粒子物理，模型的建立，和共形场论的影响。
英文摘要：
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.
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