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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Patrascioiu, A., Seiler, E. (2000). Critical Behavior of Classical Spin Models and Local Cohomology. In: Borowiec, A., Cegła, W., Jancewicz, B., Karwowski, W. (eds) Theoretical Physics Fin de Siècle. Lecture Notes in Physics, vol 539. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46700-9_21
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DOI: https://doi.org/10.1007/3-540-46700-9_21
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