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首页> 外文期刊>Fizika: A journal of experimental and theoretical physics, B. general physics, nuclear physics, particles and fields >MOMENTUM-INDEPENDENT RENORMALIZATION OF THE SCHWINGER-DYSON EQUATIONWITH AN INSTANTANEOUS-INTERACTION KERNEL
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MOMENTUM-INDEPENDENT RENORMALIZATION OF THE SCHWINGER-DYSON EQUATIONWITH AN INSTANTANEOUS-INTERACTION KERNEL

机译:瞬时相互作用核的SCHWINGER-DYSON方程的动量独立归一化

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We consider the problem of renormalization of the Schwinger-Dyson equation, encounteredwhen the interquark interaction kernel is modeled by an instantaneous potential. Moreprecisely, the Coulomb potential, needed for describing the short-distance part of thegluon exchange, leads to ultraviolet divergences in the Schwinger-Dyson equation. Thestandard prescription which has been used up till now to subtract these divergences,suffers from a serious conceptual problem: it is not momentum independent. In this work wepropose a new and momentum-independent renormalization prescription, and take special careto preserve the correct chiral limit for light pseudoscalar mesons.
机译:我们考虑了用瞬时势来建模夸克相互作用核时所遇到的Schwinger-Dyson方程的重新正规化问题。更准确地说,描述胶子交换的短距离部分所需的库仑电势导致了Schwinger-Dyson方程中的紫外线发散。迄今为止一直被用来消除这些差异的标准处方受到严重的概念问题的困扰:它不是动量无关的。在这项工作中,我们提出了一个新的且与动量无关的重整化处方,并特别注意保持轻假标量介子的正确手性极限。

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