  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.
