Phase structure and real-time dynamics of the massive Thirring model in 1+1 dimensions using the tensor-network method
Journal
Proceedings of Science
Journal Volume
363
Date Issued
2019
Author(s)
Bañuls, Mari Carmen
Cichy, Krzysztof
Hung, Hao-Ti
Kao, Ying-Jer
David Lin C.-J.
Ling, Yu-Ping
Tan, David T.-L.
Abstract
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. ? Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0).
Subjects
Correlators; Numerical methods; Phase structure; Kosterlitz-Thouless phase transition; Matrix product state; Network methods; Numerical evidence; Real-time dynamics; Time dependent; Variational principles; Zero temperatures; Lattice theory
Type
conference paper