Lefschetz Thimbles and Quantum Phases in Zero-Dimensional Bosonic Models
High Energy Physics - Theory
2020-12-01 v3 High Energy Physics - Lattice
Abstract
In this paper, by analyzing the underlying Lefschetz thimble structure, we study quantum phases in zero-dimensional scalar field theories with complex actions. Using first principles, we derive the Lefschetz thimble equations of these models, and discuss the issues when we apply the same calculations for more complicated systems. We also derive the conditional expressions involving relations among the parameters of the model, that would help us predict quantum phase transitions in these systems.
Cite
@article{arxiv.2001.10486,
title = {Lefschetz Thimbles and Quantum Phases in Zero-Dimensional Bosonic Models},
author = {R. Bharathkumar and Anosh Joseph},
journal= {arXiv preprint arXiv:2001.10486},
year = {2020}
}
Comments
v3: 35 pages, 11 figures. References updated. Published version