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O(N) Models with Topological Lattice Actions · Around

2013

O(N) Models with Topological Lattice Actions

Bietenholz, Wolfgang, Bögli, Michael, Gerber, Urs et al.

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A variety of lattice discretisations of continuum actions has been considered, usually requiring the correct classical continuum limit.

Here we discuss "weird" lattice formulations without that property, namely lattice actions that are invariant under most continuous deformations of the field configuration, in one version even without any coupling constants.
It turns out that universality is powerful enough to still provide the correct quantum continuum limit, despite the absence of a classical limit, or a perturbative expansion.
We demonstrate this for a set of O(N) models (or non-linear $\sigma$-models).

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2012
Later among the works it cites.
W. Bietenholz, M. Bögli, F. Niedermayer, M. Pepe, F.G. Rejón-Barrera and U.-J. Wiese, JHEP
2013
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