Brick wall diagrams as a completely integrable system
Abstract
We study the free energy of an integrable, planar, chiral and non-unitary four-dimensional Yukawa theory, the bi-fermion fishnet theory discovered by Pittelli and Preti. The typical Feynman-diagrams of this model are of regular "brick-wall"-type, replacing the regular square lattices of standard fishnet theory. We adapt A. B. Zamolodchikov's powerful classic computation of the thermodynamic free energy of fishnet graphs to the brick-wall case in a transparent fashion, and find the result in closed form. Finally, we briefly discuss two further candidate integrable models in three and six dimensions related to the brick wall model.
Cite
@article{arxiv.2309.16640,
title = {Brick wall diagrams as a completely integrable system},
author = {Moritz Kade and Matthias Staudacher},
journal= {arXiv preprint arXiv:2309.16640},
year = {2024}
}
Comments
v3: published in JHEP, 22 pages, fixed typo in subscript of eq. (3.8a) and (3.9a), improved labels of sub-equations in eq. (5.1) and (A.1), added further acknowledgements