Rationalizability of field extensions with a view towards Feynman integrals
Commutative Algebra
2022-05-16 v3 High Energy Physics - Theory
Mathematical Physics
Algebraic Geometry
math.MP
Abstract
In 2021, Marco Besier and the first author introduced the concept of rationalizability of square roots to simplify arguments of Feynman integrals. In this work, we generalize the definition of rationalizability to field extensions. We then show that the rationalizability of a set of quadratic field extensions is equivalent to the rationalizability of the compositum of the field extensions, providing a new strategy to prove rationalizability of sets of square roots of polynomials.
Keywords
Cite
@article{arxiv.2106.05621,
title = {Rationalizability of field extensions with a view towards Feynman integrals},
author = {Dino Festi and Andreas Hochenegger},
journal= {arXiv preprint arXiv:2106.05621},
year = {2022}
}
Comments
13 pages, minor changes to improve the article. Same content as published version