Optimal bounds from current-density calculations constrain the energy density versus number density in the massive Thirring/sine-Gordon model by a factor of two at high densities for any coupling, with the lower bound becoming exact at low densities.
title The Silver Blaze Problem in QCD http://arxiv.org/abs/2601.21053
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Varying interaction strength in DSE/BSE models produces meson degeneracies whose domains shrink with model realism, linked to quark propagator pole locations and possible chiral spin symmetry.
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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The massive Thirring / sine-Gordon model with non-zero current density
Optimal bounds from current-density calculations constrain the energy density versus number density in the massive Thirring/sine-Gordon model by a factor of two at high densities for any coupling, with the lower bound becoming exact at low densities.
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Chiral symmetry restoration effects onto the meson spectrum from a Dyson-Schwinger and Bethe-Salpeter approach
Varying interaction strength in DSE/BSE models produces meson degeneracies whose domains shrink with model realism, linked to quark propagator pole locations and possible chiral spin symmetry.
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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.