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Dual lattice representations for O(N) and CP(N-1) models with a chemical potential
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Dual lattice representations for O(N) and CP(N-1) models with a chemical potential
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We derive dual representations for O(N) and CP(N-1) models on the lattice. In terms of the dual variables the partition sums have only real and positive contributions also at finite chemical potential. Thus the complex action problem of the conventional formulation is overcome and using the dual variables Monte Carlo simulations are possible at arbitrary chemical potential.
Forward citations
Cited by 3 Pith papers
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Determination of thermodynamics from entanglement entropy in the finite-density O(N) model
The derivative of entanglement entropy with respect to subregion volume equals the thermal entropy density in the large-subregion limit, verified via lattice simulations of the finite-density O(4) model using dual wor...
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Lattice studies of entanglement entropy in $O(N)$ models at finite densities
A worm-algorithm boundary-deformation method computes ∂ℓ entanglement entropy in finite-density O(N) models, with initial O(4) results in 3D and an internal consistency check.
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Thermal and chemical response from entanglement entropy
The derivative of entanglement entropy with respect to region size equals the thermal entropy density, and a generalized Maxwell relation connects it to charge density — tested nonperturbatively in the 3D O(4) model.
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