English

Antiferromagnetism in four dimensions: search for non-triviality

High Energy Physics - Lattice 2009-10-28 v1

Abstract

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 \RP2\RP{2} Model. Different conclusions are obtained depending on the model.

Keywords

Cite

@article{arxiv.hep-lat/9607077,
  title  = {Antiferromagnetism in four dimensions: search for non-triviality},
  author = {J. L. Alonso and H. G. Ballesteros and I. Campos and J. M. Carmona and J. Clemente-Gallardo and L. A. Fernandez and D. Iniguez and V. Martin-Mayor and A. Munoz-Sudupe and A. Tarancon and C. L. Ullod},
  journal= {arXiv preprint arXiv:hep-lat/9607077},
  year   = {2009}
}

Comments

4 pages LateX. Contribution to Lat96