Monopole operators and their symmetries in QED3-Gross-Neveu models

Autor:	Dupuis, Éric, Paranjape, M. B., Witczak-Krempa, William
Rok vydání:	2019
Předmět:	Condensed Matter - Strongly Correlated Electrons Condensed Matter - Statistical Mechanics High Energy Physics - Theory
Druh dokumentu:	Working Paper
Popis:	Monopole operators are topological disorder operators in 2+1 dimensional compact gauge field theories appearing notably in quantum magnets with fractionalized excitations. For example, their proliferation in a spin-1/2 kagome Heisenberg antiferromagnet triggers a quantum phase transition from a Dirac spin liquid phase to an antiferromagnet. The quantum critical point (QCP) for this transition is described by a conformal field theory: Compact quantum electrodynamics (QED3) with a fermionic self-interaction, a type of QED3-Gross-Neveu model. We obtain the scaling dimensions of monopole operators at the QCP using a state-operator correspondence and a large-N expansion, where 2N is the number of fermion flavors. We characterize the hierarchy of monopole operators at this SU(2) x SU(N) symmetric QCP. Comment: Submitted to the proceedings volume for the Quantum Theory and Symmetry XI conference held at the Centre de Recherches Math\'ematiques, Montr\'eal
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1911.05802 Zobrazit plný text záznamu View this record from Arxiv