Deconfinement of spinons on critical points: Multiflavor CP{sup 1}+U(1) lattice gauge theory in three dimensions
- 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, Vol. 73, Issue 7; Other Information: DOI: 10.1103/PhysRevB.73.075119; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1098-0121
- Country of Publication:
- United States
- Language:
- English
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COMPUTERIZED SIMULATION
CRITICALITY
ELECTRON CORRELATION
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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