Random Z(2) Higgs Lattice Gauge Theory in Three Dimensions and its Phase Structure

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dc.creatorDoi, Shunsuke
dc.creatorHamano, Ryosuke
dc.creatorKakisako, Teppei
dc.creatorTakada, Keiko
dc.creatorMatsui, Tetsuo
dc.date2009-02-01
dc.date.accessioned2026-07-07T12:36:53Z
dc.date.available2026-07-07T12:36:53Z
dc.descriptionWe study the three-dimensional random Z(2) lattice gauge theory with Higgs field, which has the link Higgs coupling $c_1 SUS$ and the plaquette gauge coupling $c_2 UUUU$. The randomness is introduced by replacing $c_1 \to -c_1$ for each link with the probability $p_1$ and $c_2 \to -c_2$ for each plaquette with the probability $p_2$. We calculate the phase diagram by a new kind of mean field theory that does not assume the replica symmetry and also by Monte Carlo simulations. For the case $p_1=p_2(\equiv p)$, the Monte Carlo simulations exhibit that (i) the region of the Higgs phase in the Coulomb-Higgs transition diminishes as $p$ increases, and (ii) the first-order phase transition between the Higgs and the confinement phases disappear for $p \ge p_c \simeq 0.01$. We discuss the implications of the results to the quantum memory studied by Kitaev et al. and the Z(2) gauge neural network on a lattice.
dc.description18 pages, 10 figures
dc.identifierhttps://arxiv.org/abs/0902.0142
dc.identifierhttp://arxiv.org/abs/0902.0142
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218250
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleRandom Z(2) Higgs Lattice Gauge Theory in Three Dimensions and its Phase Structure
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