At large chemical potential the Gross-Neveu model enters a crystalline phase in which a-particle bound states condense, producing a periodically oscillating chiral condensate governed by two new scales Λ_n and Λ_c that replace the usual Λ.
Serone, Lectures on Resurgence in Integrable Field Theories , 2405.02224
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In the large-N limit of the 2D O(N) scalar theory, the IR renormalon in the ground state energy is the correct asymptotic expansion of the exact solution, with the complete trans-series determined at NLO in 1/N; the two-point function has a similar non-Borel-summable renormalon.
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Perturbative, Nonperturbative and Exact Aspects of Crystalline Phases in the Gross-Neveu Model
At large chemical potential the Gross-Neveu model enters a crystalline phase in which a-particle bound states condense, producing a periodically oscillating chiral condensate governed by two new scales Λ_n and Λ_c that replace the usual Λ.