Schwinger-Dyson identities are given a geometric reading in which their violations are controlled by the score-mismatch field δs = ∇ log(Q/P_eq), yielding a bound on Fisher information and a tomographic view of probability distortion.
Thermodynamic diagnostics for complex Langevin simulations: the role of configurational temperature,
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Continuum-extrapolated lattice QCD simulations with complex Langevin produce the equation of state at high baryon chemical potentials above the crossover temperature at the physical point.
Configurational temperature estimator from Schwinger-Dyson identity equals 1 in Gross-Witten-Wadia, quartic double-well, and Gaussian ensembles, with finite-N isotropic-anisotropic cancellation and use as Monte Carlo diagnostic.
A review of lattice QCD findings on the finite-temperature QCD transition at zero baryon chemical potential, its chiral limit behavior, constraints on the phase boundary and critical endpoint at finite density, plus advances under external fields and conditions.
Reviews approaches such as Lefschetz thimbles, complex Langevin dynamics, dual variables, tensor renormalization group, and machine learning to control the sign problem in lattice field theories.
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Probing Probability Geometry with Schwinger--Dyson Identities: Score Mismatch, Fisher Information, and Configurational Temperature
Schwinger-Dyson identities are given a geometric reading in which their violations are controlled by the score-mismatch field δs = ∇ log(Q/P_eq), yielding a bound on Fisher information and a tomographic view of probability distortion.
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Finite-density equation of state of hot QCD using the complex Langevin equation
Continuum-extrapolated lattice QCD simulations with complex Langevin produce the equation of state at high baryon chemical potentials above the crossover temperature at the physical point.
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Configurational Temperature in Matrix Models and Random Matrix Ensembles
Configurational temperature estimator from Schwinger-Dyson identity equals 1 in Gross-Witten-Wadia, quartic double-well, and Gaussian ensembles, with finite-N isotropic-anisotropic cancellation and use as Monte Carlo diagnostic.
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Lattice QCD at finite temperature and density
A review of lattice QCD findings on the finite-temperature QCD transition at zero baryon chemical potential, its chiral limit behavior, constraints on the phase boundary and critical endpoint at finite density, plus advances under external fields and conditions.
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Lattice field theories with a sign problem
Reviews approaches such as Lefschetz thimbles, complex Langevin dynamics, dual variables, tensor renormalization group, and machine learning to control the sign problem in lattice field theories.
- Correctness criteria for complex Langevin