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arXiv · 2203.08503

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

Michael Thies
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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.

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Michael Thies. 2022-05-27. Exact tricritical point from next-to-leading-order stability analysis. https://doi.org/10.1103/physrevd.105.116003

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