 DOCUMENT METADATASLAC Publication: SLAC-PUB-15832
SLAC Release Date: November 11, 2013
Three-point current correlation functions as probes of Effective Conformal Theories
Betre, Kassahun.
The three-point current correlation function in Euclidean spacetime for a strongly coupled system with non-Abelian global symmetry, $\langle J^a_i(x)J^b_j(y)J^c_k(z) \rangle$, is calculated from the weakly coupled AdS dual. The contribution from the first non-renormalizable bulk operator, $F^3$, is calculated and shown to lead to a polarization structure different from the leading contribution, which comes from the renormalizable $F^2$ operator. The non-renormalizable correction is suppressed by... Show Full Abstract
The three-point current correlation function in Euclidean spacetime for a strongly coupled system with non-Abelian global symmetry, $\langle J^a_i(x)J^b_j(y)J^c_k(z) \rangle$, is calculated from the weakly coupled AdS dual. The contribution from the first non-renormalizable bulk operator, $F^3$, is calculated and shown to lead to a polarization structure different from the leading contribution, which comes from the renormalizable $F^2$ 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. Show Partial Abstract
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