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arXiv 0808.3965hep-phhep-latnucl-th
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强电场和磁场中的强子

Hadrons in Strong Electric and Magnetic Fields

Brian C. Tiburzi

摘要:

我们利用手征微扰理论研究了强电场和磁场中的强子性质。采用强场功率计数,并采用Schwinger的本征时间方法得到了π介子和核子的结果。在弱场的极限下,我们相应地恢复了π介子和核子的电、磁极化率的单圈手征微扰理论结果。在强常数场中,我们推广了Gell-Mann-Oakes-Renner关系.对于电场的情况,我们发现非微扰效应导致强子衰变。对于足够强的磁场,手征分析证实,核子的层次结构变得颠倒,引起质子β衰变。通过考虑弱场极限,探讨了渐近展开式的性质。在微扰展开崩溃的区域中,一阶项与非微扰结果最一致。

英文摘要:

We use chiral perturbation theory to investigate hadronic properties in strong electric and magnetic fields. A strong-field power counting is employed, and results for pions and nucleons are obtained using Schwinger's proper-time method. In the limit of weak fields, we accordingly recover the well known one-loop chiral perturbation theory results for the electric and magnetic polarizabilities of pions and nucleons. In strong constant fields, we extend the Gell-Mann-Oakes-Renner relation. For the case of electric fields, we find that non-perturbative effects result in hadron decay. For sufficiently strong magnetic fields, the chiral analysis confirms that the nucleon hierarchy becomes inverted giving rise to proton beta-decay. Properties of asymptotic expansions are explored by considering weak field limits. In the regime where the perturbative expansion breaks down, the first-order term gives the best agreement with the non perturbative result.

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