177 citations · 432 across the 7 of their papers we have counts for
6 papers
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…
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…
Large N expansion for the 2D Dyson gas
A. Zabrodin, P. Wiegmann
We discuss the 1/N expansion of the free energy of N logarithmically interacting charges in the plane in an external field. For some particular values of the inverse temperature be…
Theta-terms in nonlinear sigma-models
A. G. Abanov, P. B. Wiegmann
We trace the origin of theta-terms in non-linear sigma-models as a nonperturbative anomaly of current algebras. The non-linear sigma-models emerge as a low energy limit of fermioni…
Asymptotically exact solutions of Harper equation
A. G. Abanov, J. C. Talstra, P. B. Wiegmann
We present asymptotically exact solutions of an incommensurate Harper equation---one-dimensional Schroedinger equation of one particle on a lattice in a cosine potential. The wave…
Algebraization of difference eigenvalue equations related to
P. B. Wiegmann, A. V. Zabrodin
A class of second order difference (discrete) operators with a partial algebraization of the spectrum is introduced. The eigenfuncions of the algebraized part of the spectrum are p…