Lattice Study of Anisotropic QED-3

Abstract

We present results from a Monte Carlo simulation of non-compact lattice QED in 3 dimensions on a $16^3$ lattice in which an explicit anisotropy between $x$ and $y$ hopping terms has been introduced into the action. This formulation is inspired by recent formulations of anisotropic QED${}_3$ as an effective theory of the non-superconducting portion of the cuprate phase diagram, with relativistic fermion degrees of freedom defined near the nodes of the gap function on the Fermi surface, and massless photon degrees of freedom reproducing the dynamics of the phase disorder of the superconducting order parameter. Using a parameter set corresponding to broken chiral symmetry in the isotropic limit, our results show that the renormalised anisotropy, defined in terms of the ratio of correlation lengths of gauge invariant bound states in the $x$ and $y$ directions, exceeds the explicit anisotropy $\kappa$ introduced in the lattice action, implying in contrast to recent analytic results that anisotropy is a relevant deformation of QED${}_3$. There also appears to be a chiral symmetry restoring phase transition at ${\kappa }_c\simeq 4.5$, implying that the pseudogap phase persists down to T=0 in the cuprate phase diagram.

24 pages, 9 figures, 3 tables. This (the published version) has the following alterations: i) An expanded discussion of the empirical aspects of HT superconductivity, ii) An updated version of Figure 4, iii) The removal of the consistency check in section 3.3.1 for reasons of brevity

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Cited by in corpus (11)

• Chiral Symmetry Restoration in Anisotropic QED(3)
• Magnetic monopole plasma phase in (2+1)d compact quantum electrodynamics with fermionic matter
• QED${}_3$ on a space-time lattice: compact versus noncompact formulation
• Phase Structure of a 3D Nonlocal U(1) Gauge Theory: Deconfinement by Gapless Matter Fields
• Dyson-Schwinger approach to strongly coupled theories
• Effects of Anisotropy in QED3 from Dyson-Schwinger equations in a box
• Chiral symmetry breaking and monopole dynamics in non-compact QED3 coupled to a four-fermi interaction
• Conformal field theory and the hot phase of three-dimensional U(1) gauge theory
• A Criterion for the Critical Number of Fermions and Chiral Symmetry Breaking in Anisotropic QED(2+1)
• Critical scaling of finite temperature QED_3 in anisotropic space-time
• Effects of Anisotropy in (2+1)-dimensional QED