1209.3396 (Hirofumi Yamada)

Continuum limit of susceptibility from strong coupling expansion: Two
dimensional non-linear O(N) sigma model at N>= 3    [PDF]

Hirofumi Yamada

Based on the strong coupling expansion, we reinvestigate the scaling behavior of the susceptibility chi of two-dimensional O(N) sigma model on the square lattice by the use of Pade-Borel approximants. To exploit the Borel transform, we express the bare coupling g in series expansion in chi. At large N, Pade-Borel approximants exhibit the scaling behavior at the four-loop level. Then, the estimation of the non-perturbative constant associated with the susceptibility is performed for N>=3 and the results are compared with the available theoretical results and Monte Carlo data.

View original: http://arxiv.org/abs/1209.3396