分野別セミナー

アブストラクト: We analyze a periodic one-dimensional Z_2 gauge–fermion chain via a Bloch-fibre formulation. In the strong-coupling regime, a quasi-local Schrieffer–Wolff reduction produces an effective low-energy operator on the rigid-dimer manifold. A discrete Schrödinger operator with a linear (string) potential appears as a central comparison object. After a standard compression step, we relate the low-energy spectrum to an explicit XXZ-type spin-chain reference model and derive uniform finite-volume spectral bounds. We also prove existence of the thermodynamic limit of the ground-state energy per site at fixed density, and briefly discuss the corresponding asymptotic behaviour of ground-state particle-density profiles in this regime. This talk is based on joint work with H. Spohn and M. Wesle.