A review of lattice gauge ensembles, strong-coupling and duality mechanisms for Wilson-loop area laws, finite-temperature diagnostics, and the mathematical status of confinement.
Li,Polynomial bound for the localization length of Lorentz mirror model on the 1D cylinder, arXiv:2010.05900 (2020)
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The survey summarizes critical exponents τ=15/7, d_f=7/4, and σ=3/7 for closed trajectories in 2D Lorentz lattice gases across several universality classes, linking them to percolation-hull scaling.
The paper summarizes transport regimes in random walks in random environments and reviews core methods in one and higher dimensions.
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Lattice Gauge Theory and Wilson-Loop Confinement: A Statistical-Mechanical Survey
A review of lattice gauge ensembles, strong-coupling and duality mechanisms for Wilson-loop area laws, finite-temperature diagnostics, and the mathematical status of confinement.
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Survey on Lattice Gas Models on 2D Lattices: Critical Behavior of Closed Trajectories
The survey summarizes critical exponents τ=15/7, d_f=7/4, and σ=3/7 for closed trajectories in 2D Lorentz lattice gases across several universality classes, linking them to percolation-hull scaling.
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Transport Regimes in Random Walks in Random Environments
The paper summarizes transport regimes in random walks in random environments and reviews core methods in one and higher dimensions.