Complex Langevin simulations for $PT$-symmetric models
Abstract
Self-interacting scalar quantum field theories possessing -symmetry are physically admissible since their energy spectrum is real and bounded below. However, models with -invariant potentials can have complex actions in general and a non-perturbative study of such systems using methods based on traditional Monte Carlo is hindered due to numerical sign problem. In this work we employ complex Langevin based on stochastic quantization to study two-dimensional scalar field theories, including the ones exhibiting -symmetry. We also study the simplest supersymmetric version of these systems and address the question on dynamical supersymmetry breaking.
Cite
@article{arxiv.2201.12001,
title = {Complex Langevin simulations for $PT$-symmetric models},
author = {Arpith Kumar and Anosh Joseph},
journal= {arXiv preprint arXiv:2201.12001},
year = {2022}
}
Comments
9 pages, 3 figures. Talk given at the 38th International Symposium on Lattice Field Theory (LATTICE2021), 26th-30th July 2021, Zoom/Gather@Massachusetts Institute of Technology