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arXiv 1206.3700hep-phhep-th
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彩色血流表示中的QCD

QCD in the Color-Flow Representation

W. Kilian, T. Ohl, J. Reuter, C. Speckner

摘要:

对于许多实际的目的来说,在色流基中建立完整的非阿贝尔规范理论(如QCD)是很方便的。通过将规范群推广到U(N)xU(1)',使得两个U(1)因子相互抵消,给出了色流基下SU(N)相互作用的一个新的推导.我们用量子作用原理证明了微扰论中所有阶的通常基的等价性。我们将已知的费曼规则扩展到奇异的颜色表示(例如六元组)和相互作用(例如$ε_{ijk}$)。我们讨论实际应用,因为它们发生在自动计算程序。

英文摘要:

For many practical purposes, it is convenient to formulate unbroken non-abelian gauge theories like QCD in a color-flow basis. We present a new derivation of SU(N) interactions in the color-flow basis by extending the gauge group to U(N)xU(1)' in such a way that the two U(1) factors cancel each other. We use the quantum action principles to show the equivalence to the usual basis to all orders in perturbation theory. We extend the known Feynman rules to exotic color representations (e.g. sextets) and interactions (e.g. $ε_{ijk}$). We discuss practical applications as they occur in automatic computation programs.

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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