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ANOMALOUS PION DECAY IN EFFECTIVE QCD AT FINITE TEMPERATURE

机译:有限温度下有效QCD中离子的异常衰减

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摘要

The width of the process pi(0) --> gamma gamma is calculated within effective QCD at finite temperature. We use two different effective models which describe chiral symmetry breaking and its restoration at finite temperature in SU(2)(f): (i) an effective lagrangian with a nonlocal separable interaction kernel, (ii) A- and B-scaled NJL lagrangians which implement the scale anomaly of QCD. We calculate the temperature dependences of the quark and pion masses as well as of the pion-quark-antiquark coupling strength below and above the double quark mass threshold. At zero temperature we obtain a fairly good agreement with the experimental value for the decay width. The temperature dependence of the decay width is related to that of the pion mass. Gamma(pi 0-->gamma gamma) is enhanced in the vicinity of the Mott temperature (M(pi) = 2m(q)) for the nonlocal as well as for the A-scaled model and suppressed for the B-scaled model. We compare our results with the SU(2) Nambu-Jona-Lasinio model which is contained as a limiting case in our approach. [References: 25]
机译:在有限的温度下,在有效QCD范围内计算过程pi(0)-> gamma的宽度。我们使用两个不同的有效模型来描述手性对称性的断裂及其在SU(2)(f)中在有限温度下的恢复:(i)具有非局部可分离相互作用核的有效拉格朗日,(ii)A级和B级NJL拉格朗日实现了QCD的规模异常。我们计算夸克和介子质量的温度依赖性以及双夸克质量阈值以下和之上的介子-夸克-反夸克耦合强度。在零温度下,我们获得了与衰减宽度的实验值相当好的​​一致性。衰减宽度与温度的相关性与介子质量的相关性。对于非局部以及A比例模型,在Mott温度(M(pi)= 2m(q))附近,γ(pi 0-> gammaγ)会增强,而对B比例模型则受到抑制。我们将我们的结果与SU(2)Nambu-Jona-Lasinio模型进行比较,该模型在我们的方法中作为一个限制案例。 [参考:25]

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