Juggling with Tensor Bases in Functional Approaches
High Energy Physics - Theory
2025-03-10 v1 Strongly Correlated Electrons
High Energy Physics - Phenomenology
Abstract
Systematic expansion schemes in functional approaches require the inclusion of higher order vertices. These vertices are expanded in independent tensor bases with a rapidly increasing number of basis elements. Amongst the related tasks are the construction of bases and projection operators, the importance ordering of their elements, and the optimisation of such tensor bases, as well as an analysis of their regularity in momentum space. We present progress in all these directions and introduce the Mathematica package TensorBases designed for the aforementioned tasks.
Cite
@article{arxiv.2503.05580,
title = {Juggling with Tensor Bases in Functional Approaches},
author = {Jens Braun and Andreas Geißel and Jan M. Pawlowski and Franz R. Sattler and Nicolas Wink},
journal= {arXiv preprint arXiv:2503.05580},
year = {2025}
}
Comments
24 pages, 2 figures