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arXiv 1401.7399hep-ph
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Nambu-Jona-Lasinio模型中的维数正则化首阶计算

Next to leading order calculation with dimensional regularization in Nambu--Jona-Lasinio Model

T. Inagaki, D. Kimura, H. Kohyama

摘要:

本文研究了Nambu-Jona-Lasinio模型的$1/N_c$展开和维数正则化.在四维极限下,介子传播子在$1/N_c$展开式的首阶中具有简单的形式。因此,下一个到前导阶的计算减少到普通的一个循环计算。在这里,我们得到一个明确的形式的$1/N_c$校正和数值计算的$N_c$依赖的间隙方程。

英文摘要:

The Nambu--Jona-Lasinio model is investigated in the $1/N_c$ expansion with the dimensional regularization. At the four-dimensional limit the meson propagators have simple forms in the leading order of the $1/N_c$ expansion. Thus the next to leading order calculation reduces to an ordinary one loop calculation. Here we obtain an explicit form of the $1/N_c$ correction and numerically evaluate the $N_c$ dependence for the gap equation.

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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