Thirring model at finite density in 2+1 dimensions with stochastic quantization

Abstract

We consider a generalization of the Thirring model in 2+1 dimensions at finite density. We employ stochastic quantization and check for the applicability in the finite density case to circumvent the sign problem. To this end we derive analytical results in the heavy dense limit and compare with numerical ones obtained from a complex Langevin evolution. Furthermore we make use of indirect indicators to check for incorrect convergence of the underlying complex Langevin evolution. The method allows the numerical evaluation of observables at arbitrary values of the chemical potential. We evaluate the results and compare to the (0+1)-dimensional case.

11 pages, 9 figures; v2: published version with changed title, additional clarifications, corrected typos and added references

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Cited by in corpus (19)

• Simulating full QCD at nonzero density using the complex Langevin equation
• Controlling complex Langevin dynamics at finite density
• Complex Langevin and other approaches to the sign problem in quantum many-body physics
• Lefschetz thimble structure in one-dimensional lattice Thirring model at finite density
• Complex Langevin dynamics for dynamical QCD at nonzero chemical potential: a comparison with multi-parameter reweighting
• Localised distributions and criteria for correctness in complex Langevin dynamics
• Full simulation of chiral Random Matrix Theory at non-zero chemical potential by Complex Langevin
• Complex Langevin simulations and the QCD phase diagram: Recent developments
• On the gauge invariant path-integral measure for the overlap Weyl fermions in $\underline{16}$ of SO(10)
• Benchmark results in the 2D lattice Thirring model with a chemical potential
• Why is the mission impossible? -- Decoupling the mirror Ginsparg-Wilson fermions in the lattice models for two-dimensional abelian chiral gauge theories
• Perturbative Removal of a Sign Problem
• Analytical studies of the complex Langevin equation with a Gaussian Ansatz and multiple solutions in the unstable region
• Fermion Bag Approach for Massive Thirring Model at Finite Density
• Quantum Field Theories with Tensor Renormalization Group
• Extending complex Langevin simulations to full QCD at nonzero density
• Performance of Complex Langevin Simulation in 0+1 dimensional massive Thirring model at finite density
• Comparison between Fermion Bag Approach and Complex Langevin Dynamics for Massive Thirring Model at Finite Density in 0 + 1 Dimensions
• Correctness criteria for complex Langevin