Feynman Diagrams in Four-Dimensional Holomorphic Theories and the Operatope
High Energy Physics - Theory
2023-08-02 v1 Mathematical Physics
math.MP
Quantum Algebra
Abstract
We study a class of universal Feynman integrals which appear in four-dimensional holomorphic theories. We recast the integrals as the Fourier transform of a certain polytope in the space of loop momenta (aka the ``Operatope''). We derive a set of quadratic recursion relations which appear to fully determine the final answer. Our strategy can be applied to a very general class of twisted supersymmetric quantum field theories.
Keywords
Cite
@article{arxiv.2207.14321,
title = {Feynman Diagrams in Four-Dimensional Holomorphic Theories and the Operatope},
author = {Kasia Budzik and Davide Gaiotto and Justin Kulp and Jingxiang Wu and Matthew Yu},
journal= {arXiv preprint arXiv:2207.14321},
year = {2023}
}
Comments
45 pages, Mathematica code attached