哈密顿形式下计算二味Schwinger模型质量谱的三种方法
Three ways of calculating mass spectra for the 2-flavor Schwinger model in the Hamiltonian formalism
AI总结：
本文提出三种在哈密顿形式下计算强子质量谱的独立方法，并在二味Schwinger模型上用DMRG验证其一致性与有效性，适用于量子计算和张量网络。
摘要：
我们提出三种独立方法，用于在哈密顿形式下计算规范理论的强子质量谱。强子质量的确定是QCD中的关键问题之一，此前已在拉格朗日形式下通过蒙特卡罗方法得到精确计算。我们确认，在哈密顿形式下可以通过考察关联函数、单点函数或色散关系来计算强子质量。这些方法适用于量子计算和张量网络方法。我们在二味Schwinger模型中用张量网络（DMRG）演示了这些方法，该模型与QCD共享重要性质。我们表明数值结果彼此一致，并与玻色化技术的解析预言一致。我们还讨论了这些方法的效率及其对其他模型的潜在应用。
英文摘要：
We propose three independent methods to compute the hadron mass spectra of gauge theories in the Hamiltonian formalism. The determination of hadron masses is one of the key issues in QCD, which has been precisely calculated by the Monte Carlo method in the Lagrangian formalism. We confirm that the mass of hadrons can be calculated by examining correlation functions, the one-point function, or the dispersion relation in Hamiltonian formalism. These methods are suitable for quantum computation and tensor network approaches. The methods are demonstrated with the tensor network (DMRG) in the 2-flavor Schwinger model, which shares important properties with QCD. We show that the numerical results are consistent with each other and with the analytic prediction of the bosonization technique. We also discuss their efficiency and potential applications to other models.
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