Complex Langevin Simulations of Zero-dimensional Supersymmetric Quantum Field Theories

Abstract

We investigate the possibility of spontaneous supersymmetry breaking in a class of zero-dimensional $\mathcal{N}=2$ 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.

arXiv commentv2: 25 pages, 22 figures. Published version

References in corpus (31)

• High density QCD on a Lefschetz thimble?
• The Complex Langevin method: When can it be trusted?
• Complex Langevin: Etiology and Diagnostics of its Main Problem
• Can stochastic quantization evade the sign problem? -- the relativistic Bose gas at finite chemical potential
• Lattice simulations of real-time quantum fields
• Hybrid Monte Carlo on Lefschetz Thimbles -- A study of the residual sign problem
• The argument for justification of the complex Langevin method and the condition for correct convergence
• Solution of Schwinger-Dyson Equations for $\mathcal{P}\mathcal{T}$-Symmetric Quantum Field Theory
• Stochastic quantization at finite chemical potential
• A Monte Carlo algorithm for simulating fermions on Lefschetz thimbles
• Simulating nonequilibrium quantum fields with stochastic quantization techniques
• Lefschetz-thimble analysis of the sign problem in one-site fermion model
• Complex Langevin dynamics in the SU(3) spin model at nonzero chemical potential revisited
• Real-time gauge theory simulations from stochastic quantization with optimized updating
• Complex Langevin and other approaches to the sign problem in quantum many-body physics
• Model of supersymmetric quantum field theory with broken parity symmetry
• A Study of U(N) Lattice Gauge Theory in 2-dimensions
• Complex Langevin dynamics at finite chemical potential: mean field analysis in the relativistic Bose gas
• Localised distributions and criteria for correctness in complex Langevin dynamics
• Thimble regularization at work: from toy models to chiral random matrix theories
• Complex Langevin Equations and Schwinger-Dyson Equations
• Degenerate distributions in complex Langevin dynamics: one-dimensional QCD at finite chemical potential
• Justification of the complex Langevin method with the gauge cooling procedure
• Complex Langevin Simulation of a Random Matrix Model at Nonzero Chemical Potential
• Real-time gauge theory simulations from stochastic quantization using optimized updating
• Complex Langevin analysis of the spontaneous symmetry breaking in dimensionally reduced super Yang-Mills models
• The complex Langevin analysis of spontaneous symmetry breaking induced by complex fermion determinant
• Testing the criterion for correct convergence in the complex Langevin method
• Spontaneous supersymmetry breaking in large-$N$ matrix models with slowly varying potential
• Spontaneous supersymmetry breaking in matrix models from the viewpoints of localization and Nicolai mapping
• Complex Langevin Dynamics in Large $N$ Unitary Matrix Models

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• Complex Langevin simulations and the QCD phase diagram: Recent developments
• Complex Langevin analysis of the spontaneous breaking of 10D rotational symmetry in the Euclidean IKKT matrix model
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• Towards sampling complex actions
• Complex Langevin analysis of 2D U(1) gauge theory on a torus with a $\theta$ term
• Lefschetz Thimbles and Quantum Phases in Zero-Dimensional Bosonic Models
• Probing Non-perturbative Supersymmetry Breaking through Lattice Path Integrals
• Dynamical Compactification of Extra Dimensions in the Euclidean IKKT Matrix Model via Spontaneous Symmetry Breaking