Exact tricritical point from next-to-leading-order stability analysis

Abstract

In the massive chiral Gross-Neveu model, a phase boundary separates a homogeneous from an inhomogeneous phase. It consists of two parts, a second order line and a first order line, joined at a tricritical point. Whereas the first order phase boundary requires a full, numerical Hartree-Fock calculation, the second order phase boundary can be determined exactly and with less effort by a perturbative stability analysis. We extend this stability analysis to higher order perturbation theory. This enables us to locate the tricritical point exactly, without need to perform a Hartree-Fock calculation. Divergencies due to the emergence of spectral gaps in a spatially periodic perturbation are handled using well established tools from many body theory.

16 pages, 11 figures; v2: typo's corrected; v3: minor improvements

References in corpus (9)

• Inhomogeneous chiral condensates
• Inhomogeneous phases in the Nambu-Jona-Lasino and quark-meson model
• Phase structure of the massive chiral Gross-Neveu model from Hartree-Fock
• Covering the Fermi Surface with Patches of Quarkyonic Chiral Spirals
• Tricritical behavior of the massive chiral Gross-Neveu model
• Phase structure of the 1+1 dimensional Nambu--Jona-Lasinio model with isospin
• Fermions in the pseudoparticle approach
• Inhomogeneities in the $2$-Flavor Chiral Gross-Neveu Model
• Baryons in the large N limit of the massive two-dimensional Nambu-Jona-Lasinio model