Geodesic
Quark masses and the meson spectrum: A holographic approach
Teoretičeskaâ i matematičeskaâ fizika, Tome 184 (2015) no. 3, pp. 427-436 Cet article a éte moissonné depuis la source Math-Net.Ru

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Based on experimental data, we can assume that the radial spectrum of vector mesons with a hidden quark flavor has a Regge form and propose its concrete form. The parameters of the Regge spectrum turn out to depend strongly on the mass of the quarks forming the mesons. We consider the problem of finding the form of these dependences in the framework of the holographic approach to strong interactions. The obtained results agree well with the phenomenology and with models of Veneziano-like dual amplitudes.
Keywords: holographic approach, quantum chromodynamics, heavy meson. 
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S. S. Afonin; I. V. Pusenkov. Quark masses and the meson spectrum: A holographic approach. Teoretičeskaâ i matematičeskaâ fizika, Tome 184 (2015) no. 3, pp. 427-436. http://geodesic.mathdoc.fr/item/TMF_2015_184_3_a6/

[1] J. Erlich, E. Katz, D. T. Son, M. A. Stephanov, Phys. Rev. Lett., 95:26 (2005), 261602, 4 pp. | DOI | MR

[2] L. Da Rold, A. Pomarol, Nucl. Phys. B, 721:1–3 (2005), 79–97 | DOI | Zbl

[3] S. S. Afonin, Internat. J. Modern Phys. A, 25:31 (2010), 5683–5710, arXiv: 1001.3105 | DOI | Zbl

[4] T. Branz, T. Gutsche, V. E. Lyubovitskij, I. Schmidt, A. Vega, Phys. Rev. D, 82:7 (2010), 074022, 11 pp., arXiv: ; T. Gutsche, V. E. Lyubovitskij, I. Schmidt, A. Vega, Phys. Rev. D, 87:5 (2013), 056001, 9 pp. 1008.0268 | DOI | DOI

[5] J. Beringer, J.-F. Arguin, R. M. Barnett et al. [Particle Data Group], Phys. Rev. D, 86 (2012), 010001, 1528 pp. | DOI

[6] A. Karch, E. Katz, D. T. Son, M. A. Stephanov, Phys. Rev. D, 74:1 (2006), 015005, 7 pp., arXiv: hep-ph/0602229 | DOI

[7] E. Witten, Adv. Theor. Math. Phys., 2:2 (1998), 253–291, arXiv: hep-th/9802150 | DOI | MR | Zbl

[8] S. S. Gubser, I. R. Klebanov, A. M. Polyakov, Phys. Lett. B, 428:1–2 (1998), 105–114 | DOI | MR | Zbl

[9] S. S. Afonin, Phys. Lett. B, 678:5 (2009), 477–480, arXiv: 0902.3959 | DOI

[10] S. S. Afonin, Internat. J. Modern Phys. A, 26:21 (2011), 3615–3623 | DOI | Zbl

[11] K. G. Chetirkin, S. Narison, V. I. Zakharov, Nucl. Phys. B, 550:1 (1999), 353–374, arXiv: ; F. V. Gubarev, L. Stodolsky, V. I. Zakharov, Phys. Rev. Lett., 86:11 (2001), 2220–2222, arXiv: ; F. V. Gubarev, V. I. Zakharov, Phys. Lett. B, 501:1–2 (2001), 28–36, arXiv: ; K.-I. Kondo, Phys. Lett. B, 514:3–4 (2001), 335–345, arXiv: ; H. Verschelde, K. Knecht, K. Van Acoleyen, M. Vanderkelen, Phys. Lett. B, 516:3–4 (2001), 307–313, arXiv: ; P. Boucaud, A. L. Yaouanc, J. P. Leroy, J. Micheli, O. Pène, J. Rodríguez-Quintero, Phys. Rev. D, 63:11 (2001), 114003, 9 pp., arXiv: ; E. R. Arriola, P. O. Bowman, W. Broniowski Phys. Rev. D, 70:9 (2004), 097505, 4 pp. hep-ph/9811275hep-ph/0010057hep-ph/0010096hep-th/0105299hep-th/0105018hep-ph/0101302 | DOI | DOI | DOI | Zbl | DOI | Zbl | DOI | Zbl | DOI | DOI

[12] S. Narison, V. I. Zakharov, Phys. Lett. B, 679:4 (2009), 355–361, arXiv: 0906.4312 | DOI

[13] M. A. Shifman, A. I. Vainstein, V. I. Zakharov, Nucl. Phys. B, 147:5 (1979), 385–447 ; 448 | DOI

[14] I. R. Klebanov, E. Witten, Nucl. Phys. B, 556:1 (1999), 89–114, arXiv: hep-th/9905104 | DOI | MR | Zbl

[15] A. Cherman, T. D. Cohen, E. S. Werbos, Phys. Rev. C, 79:4 (2009), 045203, 5 pp., arXiv: 0804.1096 | DOI

[16] L. J. Reinders, H. Rubinstein, S. Yazaki, Phys. Rept., 127:1 (1985), 1–97 | DOI

[17] S. S. Afonin, Phys. Lett. B, 576:1–2 (2003), 122–126, arXiv: ; Nucl. Phys. B, 779:1 (2007), 13–31, arXiv: ; S. S. Afonin, A. A. Andrianov, V. A. Andrianov, D. Espriu, JHEP, 04 (2004), 039, 25 pp. ; S. S. Afonin, D. Espriu, JHEP, 09 (2006), 047, 19 pp., arXiv: hep-ph/0309337hep-ph/0606291hep-ph/0602219 | DOI | DOI | DOI | DOI | MR

[18] C. Lovelace, Phys. Lett. B, 28:4 (1968), 264–268 ; J. A. Shapiro, Phys. Rev., 179:5 (1969), 1345–1353 ; M. Ademollo, G. Veneziano, S. Weinberg, Phys. Rev. Lett., 22:2 (1969), 83–85 ; P. D. B. Collins, An Introduction to Regge Theory and High-Enegy Physics, Cambridge Univ. Press, Cambridge, 1977 | DOI | DOI | DOI | MR