In lattice φ⁴ theory, Fourier modes remain marginally Gaussian but develop size-dependent couplings that cause independent Gaussian models to fail, defining three regimes where more expressive models become necessary.
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A pedagogical review summarizing analytic predictions and recent lattice results for theta-dependence and topological susceptibility in QCD.
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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When Independent Gaussian Models Break Down: Characterizing Regime-Dependent Modeling Failures in $\phi^4$ Theory
In lattice φ⁴ theory, Fourier modes remain marginally Gaussian but develop size-dependent couplings that cause independent Gaussian models to fail, defining three regimes where more expressive models become necessary.
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Topological Susceptibility and QCD at Finite Theta Angle
A pedagogical review summarizing analytic predictions and recent lattice results for theta-dependence and topological susceptibility in QCD.
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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.