Kosterlitz-Thouless universality in dimer models


Journal Article

Using the monomer-dimer representation of strongly coupled U(N) lattice gauge theories with staggered fermions, we study finite temperature chiral phase transitions in 2+1 dimensions. A new cluster algorithm allows us to compute monomer-monomer and dimer-dimer correlations at zero monomer density (chiral limit) accurately on large lattices. This makes it possible to show convincingly, for the first time, that these models undergo a finite temperature phase transition which belongs to the Kosterlitz-Thouless universality class. We find that the phase transition persists for all values of N, but occurs at different values of the critical temperature Tc. Further, when T /Tc is held fixed, the mean field analysis often used in the large N limit breaks down. © The American Physical Society.

Full Text

Duke Authors

Cited Authors

  • Chandrasekharan, S; Strouthos, CG

Published Date

  • December 1, 2003

Published In

Volume / Issue

  • 68 / 9

International Standard Serial Number (ISSN)

  • 0556-2821

Digital Object Identifier (DOI)

  • 10.1103/PhysRevD.68.091502

Citation Source

  • Scopus