114 research outputs found
Three Phases in the 3D Abelian Higgs Model with Nonlocal Gauge Interactions
We study the phase structure of the 3D nonlocal compact U(1) lattice gauge
theory coupled with a Higgs field by means of Monte-Carlo simulations. The
nonlocal interactions among gauge variables are along the temporal direction
and mimic the effect of local coupling to massless particles. We found that in
contrast to the 3D local abelian Higgs model which has only one phase, the
present model exhibits the confinement, Higgs, and Coulomb phases separated by
three second-order transition lines emanating from a triple point. This result
is quite important for studies on electron fractionalization phenomena in
strongly-correlated electron systems. Implications to them are discussed
Deconfinement Phase Transition in a 3D Nonlocal U(1) Lattice Gauge Theory
We introduce a 3D compact U(1) lattice gauge theory having nonlocal
interactions in the temporal direction, and study its phase structure. The
model is relevant for the compact QED and strongly correlated electron
systems like the t-J model of cuprates. For a power-law decaying long-range
interaction, which simulates the effect of gapless matter fields, a
second-order phase transition takes place separating the confinement and
deconfinement phases. For an exponentially decaying interaction simulating
matter fields with gaps, the system exhibits no signals of a second-order
transition.Comment: 4 pages, 5 figures, typos correcte
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