Kosterlitz Thouless Universality in Dimer Models

Abstract

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 this universality class is unaffected even in the large N limit. This shows that the mean field analysis often used in this limit breaks down in the critical region.

4 pages, 4 figures

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• Coulomb and Liquid Dimer Models in Three Dimensions
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• Pocket Monte Carlo algorithm for classical doped dimer models
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Cited by in corpus (13)

• The fermion bag approach to lattice field theories
• Lattice QCD at finite temperature and density
• Phase-diagram of two-color lattice QCD in the chiral limit
• Monte Carlo simulation of monolayer graphene at non-zero temperature
• Renormalization-group flow and asymptotic behaviors at the Berezinskii-Kosterlitz-Thouless transitions
• High-temperature expansion of the magnetic susceptibility and higher moments of the correlation function for the two-dimensional XY model
• Simulation strategies for the massless lattice Schwinger model in the dual formulation
• Scaling Theories of Kosterlitz-Thouless Phase Transitions
• Tensor network calculation of the logarithmic correction exponent in the XY model
• Failure of Mean Field Theory at Large N
• Anomalous superfluidity in 2+1 dimensional two-color lattice QCD
• Asymptotic Freedom at the Berezinskii-Kosterlitz-Thouless Transition without Fine-Tuning Using a Qubit Regularization
• Absence of vortex condensation in a two dimensional fermionic XY model