2018/12/21 by Li, Zhijin · 2 citations
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Statistical Mechanics (cond-mat.stat-mech)
paper · doi:10.48550/arxiv.1812.09281
We bootstrap the deconfined quantum critical point (DQCP) and 3D Quantum Electrodynamics (QED3) coupled to Nf flavors of two-component Dirac fermions. We show the lattice and perturbative results on the SO(5) symmetric DQCP are excluded by the bootstrap bounds combined with an irrelevant condition of the lowest singlet scalar. Remarkably, we discover a new family of kinks in the 3D SO(N) vector bootstrap bounds with N\geqslant6. We demonstrate bound coincidences between SU(Nf) adjoint and SO(Nf2-1) vector bootstrap which result from a novel algebraic relation between their crossing equations. By introducing gap assumptions breaking the SO(Nf2-1) symmetry, the SU(Nf) adjoint bootstrap bounds with large Nf converge to the 1/Nf perturbative results of QED3. Our results provide strong evidence that the SO(5) DQCP is not continuous and the critical flavor number of QED3 is slightly above 2: Nf^*∈(2,4). Bootstrap results near Nf^* are well consistent with the merger and annihilation mechanism for the loss of conformality in QED3.