修正的PQCD的重正化Wick展开
Renormalized Wick expansion for a modified PQCD
摘要：
本文讨论了微扰QCD的Wick展开的重整化方案。通过对胶子和夸克的波函数和顶点进行通常的乘性标度，考虑了无质量QCD。然而，在这个无质量的理论中，也允许有质量的夸克和胶子反项，因为凝聚体预计会产生质量。引入了一组自然的物理量展开参数：耦合本身和质量$m_q$和$m_g$分别与夸克和胶子。这个过程允许通过这些新的质量尺度实现维度转化效果。新生成泛函的一般表达式的质量参数$m_q$和$m_g$的积分在任意但恒定的胶子或夸克场在每种情况下获得。此外，单圈势，更详细地评估的情况下，只有夸克凝聚被保留。这个最低阶的结果再次表明了真空中夸克凝聚的动力学产生。
英文摘要：
The renormalization scheme for the Wick expansion of a modified version of the perturbative QCD introduced in previous works is discussed. Massless QCD is considered, by implementing the usual multiplicative scaling of the gluon and quark wave functions and vertices. However, also massive quark and gluon counter-terms are allowed in this mass less theory since the condensates are expected to generate masses. A natural set of expansion parameters of the physical quantities is introduced: the coupling itself and to masses $m_q$ and $m_g$ associated to quarks and gluons respectively. This procedure allows to implement a dimensional transmutation effect through these new mass scales. A general expression for the new generating functional in terms of the mass parameters $m_q$ and $m_g$ is obtained in terms of integrals over arbitrary but constant gluon or quark fields in each case. Further, the one loop potential, is evaluated in more detail in the case when only the quark condensate is retained. This lowest order result again indicates the dynamical generation of quark condensates in the vacuum.
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