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High Energy Physics - Lattice

arXiv:2501.14293 (hep-lat)
[Submitted on 24 Jan 2025 ]

Title: Toward tensor renormalization group study of lattice QCD

Title: 面向张量重正化群的格点QCD研究

Authors:Atis Yosprakob
Abstract: The tensor renormalization group is a promising complementary approach to traditional Monte Carlo methods for lattice systems, as it is inherently free from the sign problem. We discuss recent developments crucial for its application to lattice QCD: the multi-layer construction for multi-flavor gauge theory and the armillary sphere formulation for non-Abelian gauge theory. These techniques are important for reducing the size of the initial tensor and for eliminating non-local entanglement structures within the tensor network. We present selected numerical results and discuss potential generalizations to lattice QCD.
Abstract: 张量重正化群是格点系统的一种有前景的补充方法,与传统的蒙特卡洛方法相比,它本质上不受符号问题的影响。 我们讨论了对其实现到格点QCD至关重要的最新进展:多层结构用于多味规范理论,以及球面结构用于非阿贝尔规范理论。 这些技术对于减小初始张量的大小以及消除张量网络中的非局部纠缠结构非常重要。 我们展示了选定的数值结果,并讨论了其推广到格点QCD的潜力。
Comments: 10 pages, 6 figures, contribution for the 41st International Symposium on Lattice Field Theory (Lattice 2024), 28 July - 3 August 2024, Liverpool, UK
Subjects: High Energy Physics - Lattice (hep-lat)
Cite as: arXiv:2501.14293 [hep-lat]
  (or arXiv:2501.14293v1 [hep-lat] for this version)
  https://doi.org/10.48550/arXiv.2501.14293
arXiv-issued DOI via DataCite

Submission history

From: Atis Yosprakob [view email]
[v1] Fri, 24 Jan 2025 07:16:14 UTC (1,298 KB)
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