2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/183287We apply the theorems from the theory of Toeplitz determinants to calculate the asymptotics of the correlators in the XY spin chain in the transverse magnetic field. The asymptotics of the correlators for the XX spin chain in the magnetic field are obtained.LaTex, 10 pagesMathematical PhysicsHigh Energy Physics - TheoryExactly Solvable and Integrable Systemstext