论文标题
引导$ 4D $ qfts的$ a $ anomaly
Bootstrapping the $a$-anomaly in $4d$ QFTs
论文作者
论文摘要
我们研究了从紫外线综合场理论（CFT）获得的相关变形获得的间隙4D量子场理论（QFTS）。为简单起见，我们假设存在$ \ mathbb {z} _2 $对称性和单个$ \ mathbb {z} _2 $ -ODD稳定粒子，而没有$ \ Mathbb {z} _2 _2 _2 _2 $ -E-even ven venth粒子。使用单位性，交叉和最大分析性的假设，我们在数值上对UV CFT的$ a $ ANomaly的值进行了数值计算，这是各种非扰动参数的函数，描述了粒子的两到二散射幅度。
We study gapped 4d quantum field theories (QFTs) obtained from a relevant deformation of a UV conformal field theory (CFT). For simplicity, we assume the existence of a $\mathbb{Z}_2$ symmetry and a single $\mathbb{Z}_2$-odd stable particle and no $\mathbb{Z}_2$-even particles at low energies. Using unitarity, crossing and the assumption of maximal analyticity we compute numerically a lower bound on the value of the $a$-anomaly of the UV CFT as a function of various non-perturbative parameters describing the two-to-two scattering amplitude of the particle.
