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- W2002129426 abstract "In this paper we study a three-dimensional (3D) lattice spin model of ${mathrm{CP}}^{1}$ Schwinger-bosons coupled with dynamical compact U(1) gauge bosons. The model contains two parameters; the gauge coupling and the hopping parameter of ${mathrm{CP}}^{1}$ bosons. At large (weak) gauge couplings, the model reduces to the classical O(3) [O(4)] spin model with long-range and/or multispin interactions. It is also closely related to the recently proposed ``Ginzburg-Landau'' theory for quantum phase transitions of $s=1∕2$ quantum spin systems on a 2D square lattice at zero temperature. We numerically study the phase structure of the model by calculating specific heat, spin correlations, instanton density, and gauge-boson mass. The model has two phases separated by a critical line of second-order phase transition: O(3) spin-ordered phase and spin-disordered phase. The spin-ordered phase is the Higgs phase of U(1) gauge dynamics, whereas the disordered phase is the confinement phase. We find a crossover in the confinement phase which separates dense and dilute regions of instantons. On the critical line, spin excitations are gapless, but the gauge-boson mass is nonvanishing. This indicates that a confinement phase is realized on the critical line. To confirm this point, we also study the noncompact version of the model. A possible realization of a deconfinement phase on the criticality is discussed for the ${mathrm{CP}}^{N}+mathrm{U}(1)$ model with larger $N$." @default.
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- W2002129426 date "2005-08-04" @default.
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- W2002129426 title "<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:msup><mml:mi>CP</mml:mi><mml:mn>1</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mi mathvariant=normal>U</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>lattice gauge theory in three dimensions: Phase structure, spins, gauge bosons, and instantons" @default.
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- W2002129426 doi "https://doi.org/10.1103/physrevb.72.075112" @default.
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