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The case of equivalence of low and high energy constraints on Regge vector spectrum in AdS/QCD
Journal of Physics G: Nuclear and Particle Physics ( IF 3.5 ) Pub Date : 2021-04-27 , DOI: 10.1088/1361-6471/abf2a1
S S Afonin , T D Solomko

The AdS/QCD models are believed to interpolate between low and high energy sectors of QCD. This belief is usually based on observations that many phenomenologically reasonable predictions follow from bounds imposed at high energies although the hypothetical range of applicability of semiclassical bottom-up holographic models is restricted by the gauge/gravity duality to low energies where QCD is strongly coupled. For testing the feasibility of high energy constraints it is interesting to calculate holographically some observable constants at low and high momenta independently and compare. We consider an AdS/QCD model describing the Regge-like linear spectrum of spin-1 mesons in a general form and show that under definite physical assumptions, the low-energy constraints on two-point correlation functions lead to nearly the same numerical values for the parameters of linear radial spectrum as the high energy ones. The found approximate coincidence looks surprising in view of the fact that such a property for observables is natural for conformal theories while real strong interactions are not conformal.



中文翻译:

AdS/QCD中Regge矢量谱的高低能量约束等价的情况

AdS/QCD 模型被认为是在 QCD 的低能和高能部分之间进行插值。这种信念通常基于以下观察,即许多现象学上合理的预测来自高能下的界限,尽管半经典自下而上全息模型的假设适用范围受到规范/重力二元性对低能 QCD 强耦合的限制。为了测试高能量约束的可行性,有趣的是独立计算低动量和高动量下的一些可观察常数并进行比较。我们考虑以一般形式描述自旋 1 介子的类 Regge 线性谱的 AdS/QCD 模型,并表明在确定的物理假设下,两点相关函数的低能量约束导致线性径向谱参数的数值与高能量参数几乎相同。所发现的近似巧合看起来令人惊讶,因为可观察量的这种属性对于保形理论来说是自然的,而真正的强相互作用不是保形的。

更新日期:2021-04-27
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