The 34th International Symposium on Lattice Field Theory (Lattice 2016)

Monte Carlo simulation of $\phi^4_2$ and $O(N)\,\phi^4_3$ theories

26 Jul 2016, 16:30

20m

Building 67 Room 1007 (Highfield Campus, University of Southampton)

Talk Algorithms and Machines Algorithms and Machines

Speaker

Ms Barbara De Palma (Istituto Nazionale di Fisica Nucleare (INFN) and Università di Pavia)

Description

We report lattice simulations of $\phi^4_2$ and $O(N)\,\phi^4$ models, performed by means a Monte Carlo method based on the all-order strong coupling expansion (worm algorithm). The investigation of the non–perturbative features of the $\phi^4$ continuum limit in two dimensions lead us to the result $g/\mu^2 = 11.15 \pm 0.06_{stat} \pm 0.03_{syst}$ for the critical coupling. Furthermore we present a study of the scaling behaviour of worm and loop size in two-dimensional $O(N)$ model (non-linear $\sigma$-model) and three-dimensional $\phi^4\,O(N)$ model.

Presentation materials

Slides

talk.pdf