Erratum to: Holographic scalar and vector exchange in OTOCs and pole-skipping phenomena

The original article has been corrected. Because of an error in the production stage, in the original paper the order of the authors was wrong. The correct order for the authors is: Kyung-Sun Lee, Mitsuhiro Nishida and Keun-Young Kim. The originally published wrong file has been replaced online.

Holographic scalar and vector exchange in OTOCs and pole-skipping phenomena

We study scalar and vector exchange terms in out-of-time-order correlators (OTOCs) holographically. By applying a computational method in graviton exchange, we analyze exponential behaviors in scalar and vector exchange terms at late times. We show that their exponential behaviors in simple holographic models are related to pole-skipping points obtained from the near-horizon equations of motion of scalar and the vector fields. Our results are generalizations of the relation between the graviton exchange effect in OTOCs and the pole-skipping phenomena of the dual operator, to scalar and the vector fields.

STRONG SU(2) BREAKING AND MASS SPLITTINGS IN PSEUDOSCALAR MESONS

The mass splittings within the SU(2) multiplets of pseudoscalar mesons (π, K, D, B) are used as a laboratory to determine the mass difference between d and u quarks (current), through the simplest (two-point) quark-loop diagrams for the self-energies of the corresponding hadrons, together with the associated quark-condensate diagrams within the loops. The second-order e.m. correction is also calculated with a photon line joining the two opposite quark lines in the self-energy loop. The basic ingredient is a hadron–quark-vertex function generated from a vector-exchange-like (chirally invariant) four-fermion Lagrangian (with current quarks) under dynamical symmetry breaking (DχSB), precalibrated to spectroscopy and other important low-energy amplitudes. The results which are expressed as proportional to the u−d mass difference δc, but are otherwise free from any adjustable parameters, reproduce in a rather accurate way all the SU(2) mass differences (from kaon to bottom) with δc = 4.0 MeV, when all the three self-energy diagrams are included. The pion receives only e.m. contributions with a value 5.24 MeV.

TOTAL WIDTHS OF LIGHT HADRONS: AN INCLUSIVE VIEW

The total width of a [Formula: see text] hadron is modeled by the rate at which it dissociates into a pair of quasifree quarks brought about by “soft” and “hard” gluon exchanges, under the ansatz of a short time zone for the existence of such a state. A crucial ingredient in this regard is the quark’s mass function for which a nonperturbative formula is obtained via dynamical breaking of the chiral symmetry of an input vector-exchange-like four-fermion Lagrangian, facilitated by the knowledge that for a chirally invariant Lagrangian this quantity is also equal to the pion-quark vertex function in the chiral limit (Mπ⇒0). The mass function so employed is based on a Bethe-Salpeter (BS) model with a vectorexchange-like kernel (chirally invariant) which is precalibrated to the spectroscopy of [Formula: see text] and qqq hadrons, and also predicts a value of [Formula: see text] fully consistent with QCD sum rules. The predicted widths show a good overlap with available data from L>1 to J=5, while limitations of phase space resist applicability of the said mechanism due to the onset of hadronic selection rules for certain L≤1 states.