Three-point current correlation functions as probes of Effective Conformal Theories

Abstract

The three-point current correlation function in Euclidean spacetime for a strongly coupled system with non-Abelian global symmetry, $⟨J_i^a(x)J_j^b(y)J_k^c(z)⟩$, is calculated from the weakly coupled AdS dual. The contribution from the first non-renormalizable bulk operator, $(F_{\mu \nu }{)}^3$, is calculated and shown to lead to a polarization structure different from the leading contribution, which comes from the renormalizable $(F_{\mu \nu }{)}^2$ operator. The non-renormalizable correction is suppressed by powers of the cutoff scale $\Lambda$. This suggests a possible experimental probe of the effective description through a measurement of the cutoff scale $\Lambda$ in strongly coupled condensed matter systems.

References in corpus (3)

• Holography from Conformal Field Theory
• Conformal collider physics: Energy and charge correlations
• AdS Field Theory from Conformal Field Theory