REVIEW 4 cited by
Worm Algorithm for CP(N-1) Model
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Worm Algorithm for CP(N-1) Model
read the original abstract
The CP(N-1) model in 2D is an interesting toy model for 4D QCD as it possesses confinement, asymptotic freedom and a non-trivial vacuum structure. Due to the lower dimensionality and the absence of fermions, the computational cost for simulating 2D CP(N-1) on the lattice is much lower than that for simulating 4D QCD. However, to our knowledge, no efficient algorithm for simulating the lattice CP(N-1) model has been tested so far, which also works at finite density. To this end we propose a new type of worm algorithm which is appropriate to simulate the lattice CP(N-1) model in a dual, flux-variables based representation, in which the introduction of a chemical potential does not give rise to any complications. In addition to the usual worm moves where a defect is just moved from one lattice site to the next, our algorithm additionally allows for worm-type moves in the internal variable space of single links, which accelerates the Monte Carlo evolution. We use our algorithm to compare the two popular CP(N-1) lattice actions and exhibit marked differences in their approach to the continuum limit.
Forward citations
Cited by 4 Pith papers
-
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...
-
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.
-
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.
-
Bounding statistical errors in lattice field theory simulations
Introduces bounds-based stopping criteria and automatic windowing for autocorrelation integrals to estimate statistical errors in lattice field theory Monte Carlo simulations.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.