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arXiv 2301.06154hep-phhep-latnucl-th
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QCD中的Nambu-Goto弦:偶极相互作用、散射与纠缠

The Nambu-Goto string in QCD: Dipole interactions, scattering and entanglement

Yizhuang Liu, Maciej A. Nowak, Ismail Zahed

AI总结:

本文利用Nambu-Goto弦研究QCD中偶极相互作用、散射与纠缠,发现快子主导的交换势、涌现熵及纠缠熵,并证明总散射截面满足弗罗瓦特界。

摘要:

我们重新审视了QCD中偶极-偶极相互作用、散射和纠缠的弦论方法的一些方面,使用Nambu-Goto(NG)弦,而不借助全息对偶。我们首先证明,两个静态偶极子之间交换闭合NG弦的势能在所有距离上都是吸引的。在这种交换背后存在一种涌现熵,在大距离下由快子主导,在短距离下消失,这是禁闭-退禁闭相变的一种度量。同一个快子在散射振幅中占主导地位,该散射振幅作为两个固定偶极子型强子在大快度间隔下分离的两个威尔逊环的关联函数,其中包含了世界面费米子的贡献。虽然快子导致平均弦比特密度随快度指数增长,但总散射截面仍通过量子遮蔽满足弗罗瓦特界。弦论散射交换还携带纠缠熵,当达到该界时纠缠熵饱和。对于具有不同偶极尺寸的强子,快子交换在共形极限下发生在双曲空间中。完整S矩阵的结果让人联想到穆勒演化偶极波函数在微扰QCD中总偶极-偶极截面中的结果。

英文摘要:

We revisit some aspects of the stringy approach to dipole-dipole interactions, scattering and entanglement in QCD, using the Nambu-Goto (NG) string, without recourse to holography. We first show that the potential between two static dipoles exchanging closed NG strings is attractive at all separations. Underlining the exchange there is an emergent entropy, that is dominated by the tachyon at large separation, and vanishes at short separation, a measure of the confinement-deconfinement transition. The same tachyon is dominant in the scattering amplitude, as a correlator of two Wilson loops for two fixed dipole-like hadrons separated at large rapidity gap, where the contribution of the worldsheet fermions is included. While the tachyon causes the mean string bit density to grow exponentially with the rapidity, the total scattering cross section still satisfies the Froissart bound by quantum shadowing. The stringy scattering exchange also carries an entanglement entropy, that saturates when the bound is reached. For hadrons with varying dipole sizes, the tachyon exchange takes place in hyperbolic space in the conformal limit. The result for the full S-matrix is reminiscent of the one from Mueller$^\prime$s evolved dipole wavefunction, for the total dipole-dipole cross section in perturbative QCD.

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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