THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS |
|
|
|
|
An Inverse Laplace Transform on Lattice Spacing |
Hirofumi Yamada** |
Division of Mathematics and Science, Chiba Institute of Technology, Shibazono 2-1-1, Narashino, Chiba 275-0023, Japan
|
|
Cite this article: |
Hirofumi Yamada 2013 Chin. Phys. Lett. 30 031101 |
|
|
Abstract An inverse Laplace transform on lattice spacing is introduced as a computational framework of the extrapolation of the strong coupling expansion to the scaling region. We apply the transform to the two-dimensional nonlinear O(N) model at N≥3 and show that the approximation of the continuum limit of the susceptibility agrees with the existing theoretical and Monte Carlo data.
|
|
Received: 24 September 2012
Published: 29 March 2013
|
|
PACS: |
11.15.Me
|
(Strong-coupling expansions)
|
|
11.15.Pg
|
(Expansions for large numbers of components)
|
|
11.15.Tk
|
(Other nonperturbative techniques)
|
|
|
|
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|