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Lattice study of the Silver Blaze phenomenon for a charged scalar phi-4 field

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arxiv 1206.2954 v3 pith:BYE3KZLK submitted 2012-06-13 hep-lat cond-mat.stat-mechhep-ph

Lattice study of the Silver Blaze phenomenon for a charged scalar phi-4 field

Christof Gattringer , Thomas Kloiber This is my paper
classification hep-lat cond-mat.stat-mechhep-ph
keywords blazesilverfieldphasescalarchemicalcomplexlattice
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We analyze a complex scalar field with phi-4 interaction and a chemical potential mu on the lattice. An exact flux representation of the partition sum is used which avoids the complex action problem and based on a generalized worm algorithm we can run Monte Carlo simulations at arbitrary densities. We study thermodynamical quantities as a function of the chemical potential mu for zero- and finite temperature. It is shown that at zero temperature thermodynamical observables are independent of mu up to a critical value mu_c (Silver Blaze phenomenon). In a spectroscopy calculation we cross-check that mu_c agrees with the mass m of the scalar field. The Silver Blaze region ends in a second order phase transition and we show that for low temperatures the second order phase boundary persists and separates a pseudo Silver Blaze region from a condensed phase with strong mu-dependence.

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Cited by 3 Pith papers

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  1. Determination of thermodynamics from entanglement entropy in the finite-density O(N) model

    hep-th 2026-07 accept novelty 7.0

    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...

  2. Lattice studies of entanglement entropy in $O(N)$ models at finite densities

    hep-lat 2026-02 conditional novelty 6.0

    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.

  3. Thermal and chemical response from entanglement entropy

    hep-th 2026-03 conditional novelty 5.0

    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.