Deconfinement of spinons on critical points: Multiflavor CP{sup 1}+U(1) lattice gauge theory in three dimensions

Journal Article · Wed Feb 15 04:00:00 EST 2006 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PHYSREVB.73.0· OSTI ID:20787916

Takashima, Shunsuke; Ichinose, Ikuo; Matsui, Tetsuo ^[1]

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1. Department of Applied Physics, Nagoya Institute of Technology, Nagoya, 466-8555 (Japan)

In this paper, we study the three-dimensional N{sub f}-flavor CP{sup 1} model (a set of N{sub f} CP{sup 1} variables) coupled with a dynamical compact U(1) gauge field by means of Monte Carlo simulations. This model is relevant to two-dimensional s=(1/2) quantum spin models, and has a phase transition line which separates an ordered phase of global spin symmetry from a disordered one. From a gauge theoretical point of view, the ordered phase is a Higgs phase whereas the disordered phase is a confinement phase. We are interested in the gauge dynamics just on the critical line, in particular, whether a Coulomb-like deconfinement phase is realized there. This problem is quite important to clarify low-energy excitations in certain class of quantum spin models. If the gauge dynamics is in the deconfinement phase there, spinons, which transform in the fundamental representation of the SU(N{sub f}) symmetry, appear as low-energy excitations. By Monte Carlo simulations, we found that the 'phase structure' on the criticality strongly depends on the value of N{sub f}. For small N{sub f}, the confinement phase is realized, whereas the deconfinement phase appears for sufficient large N{sub f}{>=}14. This result strongly suggests that compact QED{sub 3} is in a deconfinement phase for sufficiently large number of flavors of massless fermions.

• OSTI ID: 20787916
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 7 Vol. 73; ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPUTERIZED SIMULATION
CRITICALITY
ELECTRON CORRELATION
EXCITATION
FERMIONS
FLAVOR MODEL
GAUGE INVARIANCE
HIGGS BOSONS
HIGGS MODEL
LATTICE FIELD THEORY
MONTE CARLO METHOD
ORDER-DISORDER TRANSFORMATIONS
SPIN
SU GROUPS
SYMMETRY
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS
U-1 GROUPS