Title: opbasis - a Python package to derive minimal operator bases Show Chinese title

Title: opbasis - 一个用于推导最小算子基的Python包

Abstract: Finding a complete and yet minimal on-shell basis of operators of a given mass-dimension that are compatible with a specific set of transformation properties is the first step in any Effective Field Theory description. This step is the main bottleneck for systematic studies of leading logarithmic corrections to integer-power lattice artifacts in Symanzik Effective Field Theory targeting various local fields and lattice actions. The focus on discrete symmetry transformations in lattice field theory, especially reduced hypercubic spacetime symmetry with Euclidean signature, complicates the use of standard continuum field theory tools. Here, a new Python package is being presented that targets the typical lattice field-theorist's use cases. While the main target lies on continuum EFTs describing 4D non-Abelian lattice gauge theories, the applicability can be extended beyond Effective Field Theories. New discrete symmetries, twisted masses, or the introduction of boosts are just a few examples of possible extensions that can be easily implemented by the user. This should allow for a wider range of theories and applications beyond the initial focus of this package. The general functionality of the package is explained along the lines of three examples: The $\mathrm{O}(a)$ operator basis of the axial-vector in Wilson QCD, operator bases compatible with the symmetries of unrooted Staggered quarks as well as a pedestrian derivation of a $B^*(\mathbf{p})\pi(-\mathbf{p})$ operator with pseudo-scalar quantum numbers. Each example makes use of an increasing range of features and requires user-defined extensions show-casing the versatility of the package. Show Chinese abstract

Abstract: 寻找一个与特定变换性质相容的给定质量维数的算符的完整且最小的在壳基是任何有效场论描述的第一步。 这一步是系统研究Symanzik有效场论中整数幂格点瑕疵的领先对数修正时的主要瓶颈，特别是针对各种局部场和格点作用量的研究。 在格点场论中对离散对称性变换的关注，尤其是具有欧几里得符号的简化超立方时空对称性，使得标准连续场论工具的使用变得复杂。 这里介绍了一个新的Python包，旨在满足典型的格点场论学家的使用案例。 虽然主要目标是描述四维非阿贝尔格点规范理论的连续EFT，但其适用范围可以扩展到有效场论之外。 新的离散对称性、扭曲质量或引入提升只是用户可以轻松实现的可能扩展的几个例子。 这应该允许超越该包初始焦点的更广泛的理论和应用范围。 该包的一般功能通过三个示例进行说明：轴矢量在威尔逊QCD中的$\mathrm{O}(a)$算符基，与无根阶梯夸克对称性相容的算符基，以及一个具有赝标量子数的$B^*(\mathbf{p})\pi(-\mathbf{p})$算符的简单推导。 每个示例都使用了越来越多的功能，并需要用户定义的扩展，展示了该包的灵活性。