0705.2632May 18, 200765pages, 3 figures, vector mesons and axial-vector mesons are now canonically normalized (comparisons with data and conclusions unaffected)

Dynamics of Baryons from String Theory and Vector Dominance

Deog Ki Hong, Mannque Rho, Ho-Ung Yee, Piljin Yi

Theory Phenomenology Nuclear Theory

arXiv PDF

Abstract

We consider a holographic model of QCD from string theory, a la Sakai and Sugimoto, and study baryons. In this model, mesons are collectively realized as a five-dimensional $U(N_F)=U(1)× SU(N_F) $Yang-Mills field and baryons are classically identified as$

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SU(N_F)

solitons with a unit Pontryagin number and

N_c

electric charges. The soliton is shown to be very small in the large 't Hooft coupling limit, allowing us to introduce an effective field

B

. Its coupling to the mesons are dictated by the soliton structure, and consists of a direct magnetic coupling to the

SU(N_F)

field strength as well as a minimal coupling to the

U(N_F)

gauge field. Upon the dimensional reduction, this effective action reproduces all interaction terms between nucleons and an infinite tower of mesons in a manner consistent with the large

N_c expansion. We further find that all electromagnetic interactions, as inferred from the same effective action via a holographic prescription, are mediated by an infinite tower of vector mesons, rendering the baryon electromagnetic form factors completely vector-dominated as well. We estimate nucleon-meson couplings and also the anomalous magnetic moments, which compare well with nature.