Critical behavior of classical spin models and local cohomology

Adrian Patrascioiu; Erhard Seiler

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arXiv · hep-th/9811061

Critical behavior of classical spin models and local cohomology

Adrian Patrascioiu·Erhard Seiler

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Abstract

Using reflection positivity as the main tool, we establish a connection between the existence of a critical point in classical spin models and the triviality of a certain local cohomology class related to the Noether current of the model in the continuum limit. Furthermore we find a relation between the location of the critical point and the momentum space autocorrelation function of the Noether current.

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Adrian Patrascioiu, Erhard Seiler. 1998-11-17. Critical behavior of classical spin models and local cohomology. https://arxiv.org/abs/hep-th/9811061

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