Monopoles in CP(N-1) model via the state-operator correspondence

Details Monopoles in CP(N-1) model via the state-operator correspondence Monopoles in CP(N-1) model via the state-operator correspondence

2008-09-17

arxiv.org/abs/0809.2816v1

Phys. Rev. B 78, 214418 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

14 pages, 1 figure

Scientific paper

10.1103/PhysRevB.78.214418

One of the earliest proposed phase transitions beyond the Landau-Ginzburg-Wilson paradigm is the quantum critical point separating an antiferromagnet and a valence-bond-solid on a square lattice. The low energy description of this transition is believed to be given by the 2+1 dimensional CP(1) model -- a theory of bosonic spinons coupled to an abelian gauge field. Monopole defects of the gauge field play a prominent role in the physics of this phase transition. In the present paper, we use the state-operator correspondence of conformal field theory in conjunction with the 1/N expansion to study monopole operators at the critical fixed point of the CP(N-1) model. This elegant method reproduces the result for monopole scaling dimension obtained through a direct calculation by Murthy and Sachdev. The technical simplicity of our approach makes it the method of choice when dealing with monopole operators in a conformal field theory.

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