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arXiv 0807.2861hep-th
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AdS_4/CFT_3巨磁振子的色散、量子化和有限尺寸修正

Giant magnons in AdS_4/CFT_3: dispersion, quantization and finite--size corrections

Igor Shenderovich

摘要:

我们研究了AdS 4 \times CP 3中的巨磁振子解。我们计算了它们色散关系的量子修正。我们发现,在无限大的体积中,单圈修正为零。这意味着强耦合和弱耦合区域之间的插值函数h(λ)在强耦合处不具有常数项λ^0。我们还计算第一非零有限体积校正的单圈表达式。当与Lüsher公式相比时,我们的结果可以提供最近在arXiv:0807.1924中提出的AdS 4 \times CP 3 S-矩阵的非平凡检查。

英文摘要:

We study giant magnon solutions in AdS4 \times CP3. We compute quantum corrections to their dispersion relation. We find out that the one--loop correction vanishes in infinite volume. This implies that the interpolating function h(λ) between strong and weak coupling regimes does not have a constant term λ^0 at strong coupling. We also compute first nonvanishing finite volume correction to the one--loop expression. When compared to the Lüsher formula, our results could provide a nontrivial check of the AdS4 \times CP3 S--matrix proposed recently in arXiv:0807.1924.

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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