arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1201.0656hep-phhep-th
收藏

一种局部修正的QCD算法

A proposal of a local modified QCD

Alejandro Cabo Montes de Oca

摘要:

一个本地和重正化版本的修改后的PQCD介绍了在以前的作品。这种结构表明它可以等价于无质量QCD。更详细地讨论了只保留夸克凝聚效应的情况。然后,出现的辅助费米子场可以整合导致一个理论的作用无质量QCD,其中一个本地和规范不变的拉格朗日项,每个夸克味。这些项是由两个胶子场和两个夸克场定义的,奇怪的是,它们的形式并不损害幂次计数可重整性。胶子自能在规范耦合中按二阶计算,在新夸克耦合中按各阶计算,结果满足规范不变性的要求,成为横截的。真空能量在双圈近似下计算,也变得与规范参数无关。更高的环贡献的真空能量允许生成的夸克质量等级作为味对称性破缺效应的可能性进行了讨论。然而,在这个问题上的决定需要评估两个以上的环贡献,其中一种以上类型的夸克环开始出现,可能导致真空能量的干扰效应。

英文摘要:

A local and renormalizable version of a modified PQCD introduced in previous works is presented. The construction indicates that it could be equivalent to massless QCD. The case in which only quark condensate effects are retained is discussed in more detail. Then, the appearing auxiliary fermion fields can be integrated leading to a theory with the action of massless QCD, to which one local and gauge invariant Lagrangian term for each quark flavour is added. These terms are defined by two gluon and two quark fields, in a form curiously not harming power counting renormalizability. The gluon self-energy is evaluated in second order in the gauge coupling and all orders in the new quark couplings, and the result became transversal as required by the gauge invariance. The vacuum energy was calculated in the two loop approximation and also became gauge parameter independent. The possibilities that higher loop contributions to the vacuum energy allow the generation of a quark mass hierarchy as a flavour symmetry breaking effect are discussed. However, the decision on this issue needs the evaluation of more than two loop contributions, in which more than one type of quark loops start appearing, possibly leading to interference effects in the vacuum energy.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑