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hep-th2026
Normal Matrix Model and Hyperelliptic Curves
Valdemar Melin
We present a two-matrix model with a normal matrix with eigenvalues confined to contours in the upper half plane coupled to a Hermitian matrix. This generalizes the matrix model pr…
hep-th2025
Finite-gap potentials as a semiclassical limit of the thermodynamic Bethe Ansatz
Valdemar Melin, Paul Wiegmann, Konstantin Zarembo
We show that the semiclassical limit of thermodynamic Bethe Ansatz equations naturally reconstructs the algebro-geometric spectra of finite-gap periodic potentials. This correspond…
hep-th2024★ 1 cited
Peierls Transition in Gross-Neveu Model from Bethe Ansatz
Valdemar Melin, Yuta Sekiguchi, Paul Wiegmann +1
The two-dimensional Gross-Neveu model is anticipated to undergo a crystalline phase transition at high baryon charge densities. This conclusion is drawn from the mean-field approxi…