Effective Potential for Complex Langevin Equations
arXiv:0902.1503 · doi:10.1016/j.nuclphysb.2009.06.016
Abstract
We construct an effective potential for the complex Langevin equation on a lattice. We show that the minimum of this effective potential gives the space-time and Langevin time average of the complex Langevin field. The loop expansion of the effective potential is matched with the derivative expansion of the associated Schwinger-Dyson equation to predict the stationary distribution to which the complex Langevin equation converges.
23 pages, 2 figures
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Cited by in corpus (21)
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- The Complex Langevin method: When can it be trusted?
- Simulating full QCD at nonzero density using the complex Langevin equation
- Complex Langevin: Etiology and Diagnostics of its Main Problem
- Gauge cooling in complex Langevin for QCD with heavy quarks
- Adaptive stepsize and instabilities in complex Langevin dynamics
- Some remarks on Lefschetz thimbles and complex Langevin dynamics
- Finite size effects in the presence of a chemical potential: A study in the classical non-linear O(2) sigma-model
- On the convergence of complex Langevin dynamics: the three-dimensional XY model at finite chemical potential
- Localised distributions and criteria for correctness in complex Langevin dynamics
- Degenerate distributions in complex Langevin dynamics: one-dimensional QCD at finite chemical potential
- Complex saddle points and the sign problem in complex Langevin simulation
- Complex Langevin simulations and the QCD phase diagram: Recent developments
- Families of particles with different masses in PT-symmetric quantum field theory
- Infinitely many inequivalent field theories from one Lagrangian
- Temporal breakdown and Borel resummation in the complex Langevin method
- Fermion Bag Approach for Massive Thirring Model at Finite Density
- Extending complex Langevin simulations to full QCD at nonzero density
- Stochastic Quantization of Real-Time Thermal Field Theory
- A new look at the Helmholtz equation: Lefschetz thimbles and the einbein action
- Correctness criteria for complex Langevin