English

Scaling behavior of the four-point renormalized coupling constant in the two dimensional O(2) and O(3) non-linear sigma models

High Energy Physics - Lattice 2016-08-31 v1

Abstract

We report thermodynamic values of four-point renormalized coupling constant calculated by Monte Carlo simulations in the continuum limits of the lattice versions of the two-dimensional O(2) and O(3) non-linear sigma models. In each case the critical index of the coupling constant vanishes, which leads to hyperscaling (non-triviality).

Keywords

Cite

@article{arxiv.hep-lat/9502005,
  title  = {Scaling behavior of the four-point renormalized coupling constant in the two dimensional O(2) and O(3) non-linear sigma models},
  author = {Jae-Kwon Kim},
  journal= {arXiv preprint arXiv:hep-lat/9502005},
  year   = {2016}
}

Comments

10pages; RevTex; 1 figure available upon request from [email protected]; to appear in Phys. Lett. B