paper

Constructing a weakly-interacting fixed point of the Fermionic Polchinski equation

arXiv:2401.04462 · doi:10.1063/5.0203607

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.

63 pages, 2 figures. Minor revisions

Constructing a weakly-interacting fixed point of the Fermionic Polchinski equation · wovepaper