发表机构
Iowa State University; Institute of Modern Physics, Chinese Academy of Sciences（爱荷华州立大学; 中国科学院近代物理研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究针对二维 $ϕ^4$ 理论的离散光锥量子化（DLCQ）哈密顿量求解，纳入微扰零模修正，大幅降低计算成本的同时保证临界耦合精度，为更高维规范理论研究提供了可行方法。
AI 中文摘要
我们提出了一种求解二维 $ϕ^4$ 理论中离散光锥量子化（DLCQ）哈密顿量以获取质量谱的改进方法，该方法纳入了微扰零模贡献。我们证明，该修正可随分辨率提升加速质量本征态的数值收敛，且能以大幅降低的计算成本得到精度相当的临界耦合。具体而言，在基矢空间维度降低一个数量级以上的情况下，我们利用高斯过程回归外推至连续极限，得到的外推临界耦合为 $23.10 \pm 0.25$，而基矢空间更大且未加入零模修正时的对应值为 $23.53 \pm 0.26$。本文提出的方法有望用于更高维规范理论的研究。
英文摘要
We present an advancement for solving the Discretized Light-Cone Quantization (DLCQ) Hamiltonian for mass spectra in 2D $ϕ^4$ theory that incorporates perturbative zero-mode contributions. We demonstrate that this correction accelerates numerical convergence of the mass eigenstates with increasing resolution and yields a critical coupling of comparable accuracy with a substantial reduction in computational costs. Specifically, with more than one order of magnitude reduction in basis space dimensionality we achieve an extrapolated critical coupling of $23.10 \pm 0.25$ compared with $23.53 \pm 0.26$ in the larger basis but without zero-mode correction. We employ Gaussian Process Regression for extrapolation to the continuum limit. The approach we present here is prospective for studies of higher-dimensional gauge theories.
Comments11 pages, 5 figures, 4 tables
Journal refPhys. Lett. B 882 (2026) 140992
DOI：10.1016/j.physletb.2026.140992
