Provable first-order transitions for liquid crystal and lattice gauge models with continuous symmetries
van Enter, A. C. D. ; Shlosman, S. B.
arXiv, 0306362 / Harvested from arXiv
Text on arXiv
We consider various sufficiently nonlinear sigma models for nematic liquid crystal ordering of RP^{N-1} type and of lattice gauge type with continous symmetries. We rigorously show that they exhibit a first-order transition in the temperature. The result holds in dimension 2 or more for the RP^{N-1} models and in dimension 3 or more for the lattice gauge models. In the two-dimensional case our results clarify and solve a recent controversy about the possibility of such transitions. For lattice gauge models our methods provide the first proof of a first-order transition in a model with a continuous gauge symmetry.
Publié le : 2003-06-13
Classification:  Condensed Matter - Statistical Mechanics,  High Energy Physics - Lattice,  Mathematical Physics 
@article{0306362,
     author = {van Enter, A. C. D. and Shlosman, S. B.},
     title = {Provable first-order transitions for liquid crystal and lattice gauge
  models with continuous symmetries},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0306362}
}

van Enter, A. C. D.; Shlosman, S. B. Provable first-order transitions for liquid crystal and lattice gauge
  models with continuous symmetries. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0306362/