Abstract
We study the impact of the Gradient Flow on the topology in various models of lattice field theory. The topological susceptibility Xt is measured directly, and by the slab method, which is based on the topological content of sub-volumes (“slabs”) and estimates Xt even when the system remains trapped in a fixed topological sector. The results obtained by both methods are essentially consistent, but the impact of the Gradient Flow on the characteristic quantity of the slab method seems to be different in 2-flavour QCD and in the 2d O(3) model. In the latter model, we further address the question whether or not the Gradient Flow leads to a finite continuum limit of the topological susceptibility (rescaled by the correlation length squared, ξ2). This ongoing study is based on direct measurements of Xt in L × L lattices, at L/ξ ≃6.
Highlights
In some quantum field theories, the set of configurations is divided into topological sectors, labelled by a topological charge Q ∈ Z
We study the impact of the Gradient Flow on the topology in various models of lattice field theory
The topological susceptibility χt is measured directly, and by the slab method, which is based on the topological content of sub-volumes (“slabs”) and estimates χt even when the system remains trapped in a fixed topological sector
Summary
In some quantum field theories, the set of configurations is divided into topological sectors, labelled by a topological charge Q ∈ Z. We study the impact of the Gradient Flow on the topology in various models of lattice field theory.
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