We present concluding results from our study for
zero-temperature phase structure
of the massive Thirring model in 1+1 dimensions with staggered
regularisation. Employing the method of matrix product states, several
quantities, including two types of correlators, are investigated, leading to numerical evidence of a Berezinskii-Kosterlitz-Thouless phase transition. Exploratory results for real-time dynamics pertaining to this transition, obtained
using the approaches of variational uniform matrix product state and time-dependent
variational principle, are also discussed.