Quantum Knizhnik-Zamolodchikov Equations and Integrability of Quantum Field Theories with Time-dependent Interaction Strength
This paper demonstrates that a generalized Bethe ansatz framework reduces the time-dependent Schrödinger equation for quantum field theories with time-varying interaction strengths to quantum Knizhnik-Zamolodchikov (qKZ) equations, thereby establishing integrability conditions and providing explicit many-body wavefunctions, as illustrated by the exact solution of the Gross-Neveu model.