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arXiv 1111.3595hep-phhep-exhep-lat
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重子电磁性质的背景场方法

Background field approach to electromagnetic properties of baryons

Tim Ledwig

摘要:

研究了外磁场$B$中粒子的自能。该依赖性通常是$\sqrt{P(B)}$类型,其中$P$是$B$中的多项式和参与质量。非分析点取决于质量和电荷星座,对于稳定粒子是没有问题的,但限制了共振的线性能量位移近似。本文在SU(2)协变手征微扰理论中计算了核子和$Δ(1232)$ -同量异位素的$B$依赖自能,并给出了一种不用三点函数方法而得到核子反常磁矩的有限体积修正的方法。我们发现有限体积修正可以解释小π质量区格点量子色动力学与手征微扰理论结果的差异。

英文摘要:

We investigate the self-energies of particles in an external magnetic field $B$. The dependence is generally of the type $\sqrt{P(B)}$ with $P$ a polynomial in $B$ and the participating masses. The non-analytic point depends on the mass and charge constellations, is unproblematic for stable particles but constrains the linear energy shift approximation for resonances. We calculate the $B$ dependent self-energies of the nucleon and $Δ(1232)$-isobar in the SU(2) covariant chiral perturbation theory and outline a way to obtain finite volume corrections to the nucleon anomalous magnetic moment without using the three point function method. We show that finite volume corrections might explain present discrepancies of lattice QCD and chiral perturbation theory results in the small pion mass region.

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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