Antiferromagnetism in four dimensions: search for non-triviality

Details Antiferromagnetism in four dimensions: search for non-triviality Antiferromagnetism in four dimensions: search for non-triviality

1996-07-30

arxiv.org/abs/hep-lat/9607077v1

Nucl.Phys.Proc.Suppl. 53 (1997) 680-682

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages LateX. Contribution to Lat96

Scientific paper

10.1016/S0920-5632(96)00752-9

We present antiferromagnetism as a mechanism capable of modifying substantially the phase diagram and the critical behaviour of statistical mechanical models. This is particularly relevant in four dimensions, due to the connection between second order transition points and the continuum limit as a quantum field theory. We study three models with an antiferromagnetic interaction: the Ising and the O(4) Models with a second neighbour negative coupling, and the $\RP{2}$ Model. Different conclusions are obtained depending on the model.

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