https://doi.org/10.1140/epjc/s10052-016-3909-z
Regular Article - Theoretical Physics
Meson effective mass in the isospin medium in hard-wall AdS/QCD model
1
Department of Physics, Gazi University, Teknikokullar, 06100, Ankara, Turkey
2
Institute for Physical Problems, Baku State University, Z.Khalilov 23, 1148, Baku, Azerbaijan
3
Institute of Physics, Azerbaijan National Academy of Sciences, H.Javid Ave. 33, 1143, Baku, Azerbaijan
* e-mail: sh.mamedov62@gmail.com
Received:
4
August
2015
Accepted:
25
January
2016
Published online:
17
February
2016
We study a mass splitting of the light vector, axial-vector, and pseudoscalar mesons in the isospin medium in the framework of the hard-wall model. We write an effective mass definition for the interacting gauge fields and scalar field introduced in gauge field theory in the bulk of AdS space-time. Relying on holographic duality we obtain a formula for the effective mass of a boundary meson in terms of derivative operator over the extra bulk coordinate. The effective mass found in this way coincides with the one obtained from finding of poles of the two-point correlation function. In order to avoid introducing distinguished infrared boundaries in the quantization formula for the different mesons from the same isotriplet we introduce extra action terms at this boundary, which reduces distinguished values of this boundary to the same value. Profile function solutions and effective mass expressions were found for the in-medium ,
, and
mesons.
© The Author(s), 2016