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arXiv 0905.2390hep-ph
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QED2 +1中电子和QCD3 +1中夸克在时间欧几里德空间中的禁闭

Confinement of electrons in QED2+1 and quarks in QCD3+1 in Temporal Euclidean space

Vladimir Sauli

摘要:

在没有任何解析假设的情况下,我们在Minkowski空间中求解了梯形QED ~(2 +1)。此外,我们将格林函数的时间欧几里德空间,其中我们表明,在特殊情况下的梯形QED 2 +1的解决方案是完全等价的闵可夫斯基之一。在时间欧几里德空间框架下求解了QCD夸克能隙方程。在这两个模型中,所得到的复费米子传播子表现出禁闭,因为它不满足Khallen-Lehmann表示。

英文摘要:

Without any analytical assumption we solve the ladder QED2+1 in Minkowski space. Further, we transform Greens functions to the Temporal Euclidean space, wherein we show that in the special case of ladder QED2+1 the solution is fully equivalent to the Minkowski one. QCD quark gap equation is solved in the framework of Temporal Euclidean space as well. In both models, the obtained complex fermion propagators exhibits confinement, since it does not satisfies Khallen-Lehmann representation.

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。

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