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arXiv 1606.05587hep-phnucl-th
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SU(2)弱外磁场中的低能夸克有效耦合

SU(2) low energy quark effective couplings in weak external magnetic field

Fabio L. Braghin

摘要:

本文通过考虑夸克相互作用的胶子交换机制中夸克的极化,计算了弱外磁场对SU(2)Nambu-Jona-Lasinio耦合的修正。夸克场被分裂成两个分量,一个是凝聚的,另一个是相互作用的夸克的背景场,前者被整合出来。通过求解与磁场相关的低能夸克有效相互作用,将所得行列式扩展到相对大的夸克质量和小的磁场,$(eB_0/{M^*}^2)<1$。除了对NJL和矢量NJL有效耦合的修正外,还出现了不同的破坏同位旋和手征对称性的依赖于$B_0-$的有效耦合。

英文摘要:

In this work corrections to the usual flavor SU(2) Nambu-Jona-Lasinio coupling due to a weak external magnetic field are calculated by considering quark polarization in a (dressed) gluon exchange mechanism for quark interactions. The quark field is splitted into two components, one that condenses and another one that is a background field for interacting quarks, being the former integrated out. The resulting determinant is expanded for relatively large quark mass and small magnetic field, $(eB_0/{M^*}^2)<1$ by resolving magnetic field dependent low energy quark effective interactions. Besides the corrections for the NJL and vector NJL effective couplings, different $B_0-$dependent effective couplings that break isospin and chiral symmetry emerge.

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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