用ITEP算子乘积展开原理表示解析QCD
Reconciling the analytic QCD with the ITEP operator product expansion philosophy
摘要：
解析QCD模型是QCD的一种版本，其中运行耦合参数a（Q^2）具有与类空物理量相同的解析性质，即，在复Q^2平面上，除了类时半轴上没有奇点。在这样的模型中，α（Q^2）与它的微扰类似物之间的差别通常是在大动量时的幂项~（λ ^2/Q^2）^k，从而在起源于紫外区的类空物理量中引入了非微扰项。因此，它违背了ITEP-OPE的理念，即这些术语只能来自IR制度。我们调查是否有可能构建分析QCD模型，尊重ITEP-OPE哲学，并在同一时间，再现不仅是高能量QCD可观的，但也低能量的，其中测量良好的半强子τ衰变比。
英文摘要：
Analytic QCD models are those versions of QCD in which the running coupling parameter a(Q^2) has the same analytic properties as the spacelike physical quantities, i.e., no singularities in the complex Q^2 plane except on the timelike semiaxis. In such models, a(Q^2) usually differs from its perturbative analog by power terms ~(Lambda^2/Q^2)^k for large momenta, introducing thus nonperturbative terms in spacelike physical quantities whose origin is the UV regime. Consequently, it contradicts the ITEP-OPE philosophy which states that such terms can come only from the IR regimes. We investigate whether it is possible to construct analytic QCD models which respect the ITEP-OPE philosophy and, at the same time, reproduce not just the high-energy QCD observables, but also the low-energy ones, among them the well-measured semihadronic tau decay ratio.
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