Deconfined quantum critical point of N(b) = 2 Abelian Higgs model in (2+1)D: Renormalization group study
Jun, 2004Citations per year
Abstract: (arXiv)
We show that deconfinement emerges at the quantum critical point of Abelian Higgs model (AHM) in where is the flavor number of Higgs fields. Performing duality transformation, we obtain an effective Lagrangian in terms of two kinds of vortices in the presence of instantons. In addition, one massless vortex gauge field exists in contrast with the case of where there is no massless vortex gauge field. Owing to the massless vortex gauge field the quantum critical point of non-compact AHM corresponds to the XY fixed point while that of non-compact AHM, the IXY fixed point. Admitting instanton excitations, we find that the XY fixed point remains stable and instanton events become irrelevant at the critical point in contrast with the case of AHM.- 73.43.Nq
- 71.27.+a
- 11.15.Ha
- 11.10.Kk
- Higgs model: abelian
- critical phenomena: confinement
- dimension: 3
- renormalization group
- duality: transformation
- vortex
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