String effects in the 3-d gauge Ising model

Nov, 2002
50 pages
Published in:
  • JHEP 01 (2003) 057
e-Print:
Report number:
  • DFTT-33-02,
  • DESY-02-180

Citations per year

2002200820142020202502468
Abstract: (arXiv)
We compare the predictions of the effective string description of confinement with a set of Montecarlo data for the 3d gauge Ising model at finite temperature. Thanks to a new algorithm which makes use of the dual symmetry of the model we can reach very high precisions even for large quark-antiquark distances. We are thus able to explore the large R regime of the effective string. We find that for large enough distances and low enough temperature the data are well described by a pure bosonic string. As the temperature increases higher order corrections become important and cannot be neglected even at large distances. These higher order corrections seem to be well described by the Nambu-Goto action truncated at the first perturbative order.
Note:
  • 49 pages, 8 figures. Added a section on the performances of the algorithm
  • Ising model
  • gauge field theory: Z(2)
  • dimension: 3
  • string model
  • critical phenomena: confinement
  • finite temperature
  • lattice field theory
  • Polyakov loop
  • flux tube
  • effect: finite size