TY - JOUR
T1 - Naive dimensional analysis in holography
AU - Nishio, Ryoichi
AU - Watari, Taizan
AU - Yanagida, Tsutomu T.
AU - Yonekura, Kazuya
N1 - Copyright:
Copyright 2012 Elsevier B.V., All rights reserved.
PY - 2012/7/26
Y1 - 2012/7/26
N2 - Naive dimensional analysis (NDA) is a widely used ansatz to estimate coupling constants among composite states emerging from dynamics of a strongly coupled gauge theory. However, the validity of NDA is still unclear because of the difficulty in calculating these quantities in strongly coupled theories. We examine the NDA ansatz using gauge/string duality, by estimating glueball coupling constants from gravitational description. The NDA scaling rule for coupling constants of some types of glueballs is verified and extended by both generic estimation and numerical calculations. The scaling rule verified in this article can be applied to some class of quiver gauge theories as well, not just to gauge theories with a single gauge group SU(Nc).
AB - Naive dimensional analysis (NDA) is a widely used ansatz to estimate coupling constants among composite states emerging from dynamics of a strongly coupled gauge theory. However, the validity of NDA is still unclear because of the difficulty in calculating these quantities in strongly coupled theories. We examine the NDA ansatz using gauge/string duality, by estimating glueball coupling constants from gravitational description. The NDA scaling rule for coupling constants of some types of glueballs is verified and extended by both generic estimation and numerical calculations. The scaling rule verified in this article can be applied to some class of quiver gauge theories as well, not just to gauge theories with a single gauge group SU(Nc).
UR - http://www.scopus.com/inward/record.url?scp=84864435916&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84864435916&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.86.016010
DO - 10.1103/PhysRevD.86.016010
M3 - Article
AN - SCOPUS:84864435916
VL - 86
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
SN - 1550-7998
IS - 1
M1 - 016010
ER -