Nonlocal scaling operators with entanglement renormalization
- School of Mathematics and Physics, University of Queensland, Queensland 4072 (Australia)
The multiscale entanglement renormalization ansatz (MERA) can be used, in its scale invariant version, to describe the ground state of a lattice system at a quantum-critical point. From the scale invariant MERA one can determine the local scaling operators of the model. Here we show that, in the presence of a global symmetry G, it is also possible to determine a class of nonlocal scaling operators. Each operator consists, for a given group element g is an element of G, of a semi-infinite string {Gamma}{sub g} with a local operator {phi} attached to its open end. In the case of the quantum Ising model, G=Z{sub 2}, they correspond to the disorder operator {mu}, the fermionic operators {psi} and {psi}, and all their descendants. Together with the local scaling operators identity I, spin {sigma}, and energy {epsilon}, the fermionic and disorder scaling operators {psi}, {psi}, and {mu} are the complete list of primary fields of the Ising CFT. Therefore the scale invariant MERA allows us to characterize all the conformal towers of this CFT.
- OSTI ID:
- 21421443
- Journal Information:
- Physical Review. B, Condensed Matter and Materials Physics, Vol. 82, Issue 13; Other Information: DOI: 10.1103/PhysRevB.82.132411; (c) 2010 The American Physical Society; ISSN 1098-0121
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
FERMIONS
GROUND STATES
ISING MODEL
LATTICE FIELD THEORY
QUANTUM ENTANGLEMENT
RENORMALIZATION
SCALING
SPIN
SYMMETRY
ANGULAR MOMENTUM
CONSTRUCTIVE FIELD THEORY
CRYSTAL MODELS
ENERGY LEVELS
FIELD THEORIES
MATHEMATICAL MODELS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY