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Topology in 2D CP**(N-1) models on the lattice: a critical comparison of different cooling techniques

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arxiv hep-lat/0001027 v1 pith:OE2RDT3D submitted 2000-01-24 hep-lat

classification hep-lat
keywords coolingdifferentlatticeconfigurationsmethodsmodelstechniquestopological
verification ladder T0 review T1 audit T2 compute T3 formal

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Two-dimensional CP**(N-1) models are used to compare the behavior of different cooling techniques on the lattice. Cooling is one of the most frequently used tools to study on the lattice the topological properties of the vacuum of a field theory. We show that different cooling methods behave in an equivalent way. To see this we apply the cooling methods on classical instantonic configurations and on configurations of the thermal equilibrium ensemble. We also calculate the topological susceptibility by using the cooling technique.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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    First non-perturbative lattice determination of the Yang-Mills topological susceptibility slope χ' in the large-N limit using a novel algorithm to avoid topological freezing.

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  4. Scaling flow-based approaches for topology sampling in $\mathrm{SU}(3)$ gauge theory

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  5. The imaginary-$\theta$ dependence of the SU($N$) spectrum

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    The theta-squared curvature of the SU(3) glueball mass and string tension is measured in the continuum, and the N=3 and N=6 data support the expected large-N 1/N^2 scaling.

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