Topology in the 2d Heisenberg Model under Gradient Flow
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Date
2017-10-28
Publication Type
Conference Paper
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Abstract
The 2d Heisenberg model - or 2d O(3) model - is popular in condensed matter physics, and in particle physics as a toy model for QCD. Along with other analogies, it shares with 4d Yang-Mills theories, and with QCD, the property that the configurations are divided in topological sectors. In the lattice regularisation the topological charge Q can still be defined such that Q ϵ. It has generally been observed, however, that the topological susceptibility Xt = 〈Q2〉 /V does not scale properly in the continuum limit, i.e. that the quantity Xtξ2 diverges for ξ → ∞ (where ξ is the correlation length in lattice units). Here we address the question whether or not this divergence persists after the application of the Gradient Flow.
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Publication status
published
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Journal / series
Volume
912 (1)
Pages / Article No.
12024
Publisher
IOP Publishing
Event
31st Annual Meeting of the Division of Particles and Fields (DPyC) of the Mexican Physical Society