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STR: A Mathematica package for the method of uniqueness
International Journal of Modern Physics C ( IF 1.5 ) Pub Date : 2020-06-26 , DOI: 10.1142/s0129183120501466
Michelangelo Preti 1, 2
Affiliation  

We present Star–Triangle Relations (STRs), a Mathematica® package designed to solve Feynman diagrams by means of the method of uniqueness in any Euclidean space-time dimension. The method of uniqueness is a powerful technique to solve multi-loop Feynman integrals in theories with conformal symmetry imposing some relations between the powers of propagators and the space-time dimension. In our algorithm, we include both identities for scalar and Yukawa type integrals. The package provides a graphical environment in which it is possible to draw the desired diagram with the mouse input and a set of tools to modify and compute it. Throughout the use of a graphic interface, the package should be easily accessible to users with little or no previous experience on diagrams computation. This manual includes some pedagogical examples of computation of Feynman graphs as the scalar two-loop kite master integral and a fermionic diagram appearing in the computation of the spectrum of the [Formula: see text]-deformed [Formula: see text] SYM in the double scaling limit.

中文翻译:

STR:唯一性方法的 Mathematica 包

我们提出了星三角关系 (STR),这是一个 Mathematica® 软件包,旨在通过任何欧几里得时空维度的唯一性方法来求解费曼图。唯一性方法是求解具有共形对称性理论中的多环费曼积分的有力技术,该理论在传播子的幂和时空维数之间施加了一些关系。在我们的算法中,我们包括标量和 Yukawa 类型积分的恒等式。该软件包提供了一个图形环境,可以在其中通过鼠标输入和一组工具来修改和计算所需的图表。在整个图形界面的使用过程中,对于以前很少或没有图表计算经验的用户,应该可以轻松访问该软件包。
更新日期:2020-06-26
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