Abstract
Using the gauge/gravity duality, we calculate the electromagnetic contributions to hadron masses, where mass generates dynamically by strong QCD interactions. Based on the Sakai-Sugimoto model of holographic QCD we find that the electromagnetic mass of proton is 0.48 MeV larger than that of neutron, which is in agreement with recent lattice results. Similarly for pions we obtain mπ± − m π 0 = 1.8 MeV, roughly half of the experimental value. The electromagnetic mass of pions is found to be independent of N c and ’t Hooft coupling and its scale is set only by the Kaluza-Klein scale of the model, MKK = 949 MeV.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
T. Sakai and S. Sugimoto, Low energy hadron physics in holographic QCD, Prog. Theor. Phys. 113 (2005) 843 [hep-th/0412141] [INSPIRE].
T. Sakai and S. Sugimoto, More on a holographic dual of QCD, Prog. Theor. Phys. 114 (2005) 1083 [hep-th/0507073] [INSPIRE].
J. Erlich, E. Katz, D.T. Son and M.A. Stephanov, QCD and a holographic model of hadrons, Phys. Rev. Lett. 95 (2005) 261602 [hep-ph/0501128] [INSPIRE].
L. Da Rold and A. Pomarol, Chiral symmetry breaking from five dimensional spaces, Nucl. Phys. B 721 (2005) 79 [hep-ph/0501218] [INSPIRE].
D.K. Hong, T. Inami and H.-U. Yee, Baryons in AdS/QCD, Phys. Lett. B 646 (2007) 165 [hep-ph/0609270] [INSPIRE].
T. Blum, T. Doi, M. Hayakawa, T. Izubuchi and N. Yamada, Determination of light quark masses from the electromagnetic splitting of pseudoscalar meson masses computed with two flavors of domain wall fermions, Phys. Rev. D 76 (2007) 114508 [arXiv:0708.0484] [INSPIRE].
MILC collaboration, S. Basak et al., Electromagnetic splittings of hadrons from improved staggered quarks in full QCD, PoS(LATTICE 2008)127 [arXiv:0812.4486] [INSPIRE].
T. Blum, R. Zhou, T. Doi, M. Hayakawa, T. Izubuchi et. al., Electromagnetic mass splittings of the low lying hadrons and quark masses from 2+1 flavor lattice QCD+QED, Phys. Rev. D 82 (2010) 094508 [arXiv:1006.1311] [INSPIRE].
RM123 collaboration, G.M. de Divitiis et al., Leading isospin breaking effects on the lattice, Phys. Rev. D 87 (2013) 114505 [arXiv:1303.4896] [INSPIRE].
Budapest-Marseille-Wuppertal collaboration, S. Borsányi et al., Isospin splittings in the light baryon octet from lattice QCD and QED, Phys. Rev. Lett. 111 (2013) 252001 [arXiv:1306.2287] [INSPIRE].
S. Borsányi et al., Ab initio calculation of the neutron-proton mass difference, Science 347 (2015) 1452 [arXiv:1406.4088] [INSPIRE].
R.F. Dashen, Some features of chiral symmetry breaking, Phys. Rev. D 3 (1971) 1879 [INSPIRE].
S. Weinberg, Implications of Dynamical Symmetry Breaking, Phys. Rev. D 13 (1976) 974 [INSPIRE].
M.E. Peskin, The Alignment of the Vacuum in Theories of Technicolor, Nucl. Phys. B 175 (1980) 197 [INSPIRE].
J. Preskill, Subgroup Alignment in Hypercolor Theories, Nucl. Phys. B 177 (1981) 21 [INSPIRE].
O. Aharony and D. Kutasov, Holographic Duals of Long Open Strings, Phys. Rev. D 78 (2008) 026005 [arXiv:0803.3547] [INSPIRE].
K. Hashimoto, T. Hirayama, F.-L. Lin and H.-U. Yee, Quark Mass Deformation of Holographic Massless QCD, JHEP 07 (2008) 089 [arXiv:0803.4192] [INSPIRE].
D.K. Hong, H.-C. Kim, S. Siwach and H.-U. Yee, The Electric Dipole Moment of the Nucleons in Holographic QCD, JHEP 11 (2007) 036 [arXiv:0709.0314] [INSPIRE].
S. Hong, S. Yoon and M.J. Strassler, On the couplings of vector mesons in AdS/QCD, JHEP 04 (2006) 003 [hep-th/0409118] [INSPIRE].
S. Weinberg, The quantum theory of fields. Volume 2: Modern applications, Cambridge University Press, Cambridge U.K. (1996).
T. Das, G.S. Guralnik, V.S. Mathur, F.E. Low and J.E. Young, Electromagnetic mass difference of pions, Phys. Rev. Lett. 18 (1967) 759 [INSPIRE].
E. Witten, Baryons in the 1/n Expansion, Nucl. Phys. B 160 (1979) 57 [INSPIRE].
D.K. Hong, K.-M. Lee, C. Park and H.-U. Yee, Holographic Monopole Catalysis of Baryon Decay, JHEP 08 (2008) 018 [arXiv:0804.1326] [INSPIRE].
D.K. Hong, M. Rho, H.-U. Yee and P. Yi, Chiral Dynamics of Baryons from String Theory, Phys. Rev. D 76 (2007) 061901 [hep-th/0701276] [INSPIRE].
D.K. Hong, M. Rho, H.-U. Yee and P. Yi, Dynamics of baryons from string theory and vector dominance, JHEP 09 (2007) 063 [arXiv:0705.2632] [INSPIRE].
H. Hata, T. Sakai, S. Sugimoto and S. Yamato, Baryons from instantons in holographic QCD, Prog. Theor. Phys. 117 (2007) 1157 [hep-th/0701280] [INSPIRE].
K. Hashimoto, N. Iizuka and P. Yi, A Matrix Model for Baryons and Nuclear Forces, JHEP 10 (2010) 003 [arXiv:1003.4988] [INSPIRE].
D.K. Hong, M. Rho, H.-U. Yee and P. Yi, Nucleon form-factors and hidden symmetry in holographic QCD, Phys. Rev. D 77 (2008) 014030 [arXiv:0710.4615] [INSPIRE].
V.A. Miransky, Dynamical symmetry breaking in quantum field theories, World Scientific, Singapore (1993).
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1409.8139
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Hong, D.K. Holographic estimate of electromagnetic mass. J. High Energ. Phys. 2015, 66 (2015). https://doi.org/10.1007/JHEP08(2015)066
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP08(2015)066