From non-degenerate conducting polymers to dense matter in the massive Gross-Neveu model

TL;DR

This paper extends the analysis of dense baryonic matter in the Gross-Neveu model by incorporating finite bare fermion mass, revealing an analytically constructible crystal ground state analogous to polymer soliton lattices.

Contribution

It introduces a generalized approach to the Gross-Neveu model with finite mass, enabling analytical construction of the crystal ground state in the large N limit.

Findings

Exact crystal ground state can be constructed analytically.

Contrasts with homogeneous phase scenarios and first-order phase transition.

Analogy to bipolaron lattice in conducting polymers.

Abstract

Using results from the theory of non-degenerate conducting polymers like cis-polyacetylene, we generalize our previous work on dense baryonic matter and the soliton crystal in the massless Gross-Neveu model to finite bare fermion mass. In the large N limit, the exact crystal ground state can be constructed analytically, in close analogy to the bipolaron lattice in polymers. These findings are contrasted to the standard scenario with homogeneous phases only and a first order phase transition at a critical chemical potential.