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arXiv 1402.2364hep-thnucl-th
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外尔对称有效Action和SU(3)QCD中的单极凝聚

Weyl symmetric Effective Action and Monopole Condensation in SU(3) QCD

Y. M. Cho, Franklin H. Cho, Kyoungtae Kimm

摘要:

我们给出了如何将SU(2)QCD中的非线性凝聚的结果推广到SU(3)QCD。我们给出了SU(3)QCD的规范无关Weyl对称Abel分解,它将胶子分解为色中性神经元和色振子。这种分解使我们能够将规范不变量和宇称守恒的非阿贝尔背景规范分开,并将非阿贝尔规范对称性简化为一种更容易处理的离散色反射对称性.由此得到了三个SU(2)子群中Weyl对称的单圈有效作用量的红外有限和规范不变积分表达式。在规范不变的条件下,加上色反射不变性,我们得到了SU(3)QCD有效势,它产生了稳定的量子凝聚和质量隙。我们讨论了我们的结果的物理含义。

英文摘要:

We show how to generalize the previous result of the monopole condensation in SU(2) QCD to SU(3) QCD. We present the gauge independent Weyl symmetric Abelian decomposition of the SU(3) QCD which decomposes the gluons to the color neutral neurons and the colored chromons. The decomposition allows us to separate the gauge invariant and parity conserving monopole background gauge independently, and reduces the non-Abelian gauge symmetry to a discrete color reflection symmetry which is easier to handle. With this we obtain the infra-red finite and gauge invariant integral expression of the one-loop effective action which is Weyl symmetric in three SU(2) subgroups. Integrating it gauge invariantly imposing the color reflection invariance we obtain the SU(3) QCD effective potential which generates the stable monopole condensation and the mass gap. We discuss the physical implications of our result.

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