The (11112) model on a 1+1 dimensional lattice

TL;DR

This paper investigates a specific 1+1 dimensional lattice chiral gauge model, showing through exact calculations that it may bypass the Nielsen-Ninomiya no-go theorem, suggesting new possibilities for chiral fermion models.

Contribution

It provides an exact analysis of the (11112) lattice model, revealing potential ways to evade the Nielsen-Ninomiya no-go theorem for chiral fermions.

Findings

Exact S-matrix computations demonstrate a loophole in the no-go theorem.

The (11112) model with strong interactions exhibits unique chiral properties.

Potential implications for lattice gauge theories and chiral fermion modeling.

Abstract

We study the chiral gauge model (11112) of four left-movers and one right-mover with strong interactions in the 1+1 dimensional lattice. Exact computations of relevant $S$-matrix elements demonstrate a loophole that so constructed model and its dynamics can possibly evade the ``no-go'' theorem of Nielsen and Ninomiya.