The periodic table of static fermion bags in the Gross-Neveu Model

TL;DR

This paper classifies all stable static fermion bags in the 1+1D Gross-Neveu model, discovering a new kink and organizing these solutions into a periodic table based on their quantum numbers.

Contribution

It introduces a comprehensive classification of static fermion bags in the Gross-Neveu model and reports the discovery of a new, heavier kink.

Findings

Discovered a new, heavier kink in the model.

Created a periodic table of stable fermion bags.

Identified all stable static fermion bags in the large N limit.

Abstract

We study the spectrum of stable static fermion bags in the 1+1 dimensional Gross-Neveu model with $N$ flavors of Dirac fermions, in the large $N$ limit. In the process, we discover a new kink, heavier than the Callan-Coleman-Gross-Zee (CCGZ) kink, which is marginally stable (at least in the large $N$ limit). The connection of this new kink and the conjectured $S$ matrix of the Gross-Neveu model is obscured at this point. After identifying all stable static fermion bags, we arrange them into a periodic table, according to their $O (2N)$ and topological quantum numbers.