论文标题
低能QCD中的最小纠缠和紧密的对称性
Minimal Entanglement and Emergent Symmetries in Low-energy QCD
论文作者
论文摘要
我们从量子信息科学的角度研究了自旋1/2重子的低能散射，重点是纠缠最小化与意外对称性的出现之间的相关性。巴里昂在su（3）风味对称性下作为八位形的变换及其在pion阈值下方的相互作用在QCD的有效田间理论（EFT）中描述。尽管2比2散射中有64个通道，但EFT中只有6个独立的操作员由SU（3）预测。我们表明，SU（3） - 对称通道中的连续纠缠最小化与EFT中日益大的新兴对称性相关。特别是，我们确定其纠缠抑制的散射通道表明SU（6），SO（8），SU（8）和SU（16）对称性。我们还观察到在散射长度不自然的通道中出现了非相关性的保形不变性。晶格模拟中提高的精度可以帮助确定低能量QCD中纠缠抑制程度，从而提高纠缠抑制程度，从而确定意外对称性的量。
We study low-energy scattering of spin-1/2 baryons from the perspective of quantum information science, focusing on the correlation between entanglement minimization and the appearance of accidental symmetries. The baryon transforms as an octet under the SU(3) flavor symmetry and its interactions below the pion threshold are described by contact operators in an effective field theory (EFT) of QCD. Despite there being 64 channels in the 2-to-2 scattering, only six independent operators in the EFT are predicted by SU(3). We show that successive entanglement minimization in SU(3)-symmetric channels are correlated with increasingly large emergent symmetries in the EFT. In particular, we identify scattering channels whose entanglement suppression are indicative of emergent SU(6), SO(8), SU(8), and SU(16) symmetries. We also observe the appearance of non-relativistic conformal invariance in channels with unnaturally large scattering lengths. Improved precision from lattice simulations could help determine the degree of entanglement suppression, and consequently the amount of accidental symmetry, in low-energy QCD.
