QCD和电弱理论中的Bogoliubov补偿方法
Bogoliubov compensation approach in QCD and in the electroweak theory
摘要:
本文描述了Bogoliubov补偿原理在计算电弱理论和QCD中的非微扰贡献中的应用。我们得到了补偿方程的唯一解,它对理论参数和相应形状因子的函数依赖性施加了很强的限制。我们计算了运行规范电弱耦合$α_w(M_W)=0.0374$的值,与实验值相差不超过10%。我们从基本QCD导出了有效Nambu-Jona-Lasinio相互作用,并将其参数表示为初始QCD参数:低动量时的$α_s$和轻夸克的当前质量。这导致低质量强子物理的满意的描述。
英文摘要:
We describe application of Bogoliubov compensation principle to calculation of non-perturbative contribution in the electroweak theory and QCD. We obtain unique solutions of compensation equations, which impose strong restrictions on parameters of theories and on functional dependence of corresponding form-factors. We calculate value of running gauge electroweak coupling $α_w(M_W)=0.0374$, that differs from the experimental value less than by 10%. We derive effective Nambu-Jona-Lasinio interaction from fundamental QCD and express its parameters in terms of initial QCD parameters: $α_s$ at low-momenta and current mass of light quarks. This leads to satisfactory description of low-mass hadron physics.
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