3D Ising and other models from symplectic fermions
Statistical Mechanics
2012-11-08 v4 Disordered Systems and Neural Networks
High Energy Physics - Theory
Abstract
We study a model of N component symplectic fermions in D spacetime dimensions. It has an infra-red stable fixed point in 2<D<4 dimensions referred to as Sp{2N}{D}. Based on the comparison of exponents, we conjecture that the critical exponents for the 3D Wilson-Fisher fixed point for an O(N) invariant N-component bosonic field can be computed in the Sp{-2N}{3} theory. The 3D Ising model corresponds to Sp{-2}{3}. The exponent beta agrees with known results to 1 part in 1000 and is within current error bars. The nu exponent agrees to 1% and we suggest this because we only went to 1-loop for this exponent.
Keywords
Cite
@article{arxiv.cond-mat/0610817,
title = {3D Ising and other models from symplectic fermions},
author = {André LeClair},
journal= {arXiv preprint arXiv:cond-mat/0610817},
year = {2012}
}
Comments
This paper has been withdrawn by the author since further work did not lend more support to the conjecture, rather to the contrary