Constructing a weakly-interacting fixed point of the Fermionic Polchinski equation
Mathematical Physics
2024-11-26 v4 Statistical Mechanics
High Energy Physics - Theory
math.MP
Abstract
I rigorously prove the existence of a nontrivial fixed point of a family of continuous renormalization group flows corresponding to certain weakly interacting Fermionic quantum field theories with a parameter in the propagator allowing the scaling dimension to be tuned in a manner analogous to dimensional regularization.
Cite
@article{arxiv.2401.04462,
title = {Constructing a weakly-interacting fixed point of the Fermionic Polchinski equation},
author = {Rafael Leon Greenblatt},
journal= {arXiv preprint arXiv:2401.04462},
year = {2024}
}
Comments
63 pages, 2 figures. Minor revisions