正则微分方程和相对上同调的选择规则注释

IF 5.5 1区物理与天体物理 Q1 Physics and Astronomy

Journal of High Energy Physics Pub Date : 2025-03-04 DOI:10.1007/JHEP03(2025)009

Jiaqi Chen, Bo Feng

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引用次数: 0

摘要

利用(n+1)-d对数形式在n-d对数形式上的投影，给出了典型微分方程系数矩阵的-d对数形式的解释。这个投影是用交点数的首阶公式完成的。这个公式给出了一种计算系数矩阵的简单方法。当与相对扭上同调相结合时，可以避免使用调节器方法计算的冗余。

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Notes on selection rules of canonical differential equations and relative cohomology

We give an explanation of the d log-form of the coefficient matrix of canonical differential equations using the projection of (n+1)-d log forms onto n-d log forms. This projection is done using the leading-order formula for intersection numbers. This formula gives a simple way to compute the coefficient matrix. When combined with the relative twisted cohomology, redundancy in computation using the regulator method can be avoided.

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来源期刊

Journal of High Energy Physics 物理-物理：粒子与场物理

CiteScore

10.30

自引率

46.30%

发文量

2107

审稿时长

1.5 months

期刊介绍： The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal. Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles. JHEP presently encompasses the following areas of theoretical and experimental physics: Collider Physics Underground and Large Array Physics Quantum Field Theory Gauge Field Theories Symmetries String and Brane Theory General Relativity and Gravitation Supersymmetry Mathematical Methods of Physics Mostly Solvable Models Astroparticles Statistical Field Theories Mostly Weak Interactions Mostly Strong Interactions Quantum Field Theory (phenomenology) Strings and Branes Phenomenological Aspects of Supersymmetry Mostly Strong Interactions (phenomenology).