# Complex Langevin Simulations of Zero-dimensional Supersymmetric Quantum Field Theories

## TL;DR

This paper explores the use of complex Langevin dynamics to simulate zero-dimensional supersymmetric quantum field theories, successfully identifying conditions for spontaneous supersymmetry breaking.

## Contribution

It demonstrates the effectiveness of complex Langevin simulations in analyzing supersymmetry breaking in models with complex actions, a novel approach in this context.

## Key findings

- Successfully captured supersymmetry breaking or preservation
- Used auxiliary field expectation as an order parameter
- Validated complex Langevin method for supersymmetric models

## Abstract

We investigate the possibility of spontaneous supersymmetry breaking in a class of zero-dimensional ${\cal N} = 2$ supersymmetric quantum field theories, with complex actions, using complex Langevin dynamics and stochastic quantization. Our simulations successfully capture the presence or absence of supersymmetry breaking in these models. The expectation value of the auxiliary field under twisted boundary conditions was used as an order parameter to capture spontaneous supersymmetry breaking in these models.