Multicritical behavior in models with two competing order parameters
Abstract
We employ the nonperturbative functional Renormalization Group to study models with an O(N_1)+O(N_2) symmetry. Here, different fixed points exist in three dimensions, corresponding to bicritical and tetracritical behavior induced by the competition of two order parameters. We discuss the critical behavior of the symmetry-enhanced isotropic, the decoupled and the biconical fixed point, and analyze their stability in the N_1, N_2 plane. We study the fate of non-trivial fixed points during the transition from three to four dimensions, finding evidence for a triviality problem for coupled two-scalar models in high-energy physics. We also point out the possibility of non-canonical critical exponents at semi-Gaussian fixed points and show the emergence of Goldstone modes from discrete symmetries.
Cite
@article{arxiv.1306.2952,
title = {Multicritical behavior in models with two competing order parameters},
author = {Astrid Eichhorn and David Mesterházy and Michael M. Scherer},
journal= {arXiv preprint arXiv:1306.2952},
year = {2013}
}
Comments
16 pages, 7 figures, 5 tables, minor changes in updated version, identical to published one in Phys. Rev. E