Low and High Energy Constraints in AdS/QCD Models
Tóm tắt
The AdS/QCD models are believed to interpolate between low and high energy sectors of QCD. This belief is usually based on observations that many phenomenologically reasonable predictions follow from bounds imposed at high energies. We consider an AdS/QCD model describing the Regge-like linear spectrum of spin-1 mesons in a general form and show that under definite physical assumptions, the low-energy constraints on 2-point correlation functions lead to nearly the same numerical values for the parameters of linear radial spectrum as the high energy ones.
Tài liệu tham khảo
S. J. Brodsky, G. F. de Teramond, H. G. Dosch, and J. Erlich, Phys. Rept. 584, 1 (2015).
G. ’t Hooft, Nucl. Phys. B 72, 461 (1974).
E. Witten, Nucl. Phys. B 160, 57 (1979).
A. Karch, E. Katz, D. T. Son, and M. A. Stephanov, Phys. Rev. D 74, 015005 (2006).
O. Andreev, Phys. Rev. D 73, 107901 (2006).
S. S. Afonin, Phys. Lett. B 719, 399 (2013).
J. Erlich, E. Katz, D. T. Son, and M. A. Stephanov, Phys. Rev. Lett. 95, 261602 (2005).
L. Da Rold and A. Pomarol, Nucl. Phys. B 721, 79 (2005).
E. Witten, Adv. Theor. Math. Phys. 2, 253 (1998);
S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Phys. Lett. B 428, 105 (1998).
S. S. Afonin, Int. J. Mod. Phys. A 26, 3615 (2011).
M. A. Shifman, A. I. Vainstein, and V. I. Zakharov, Nucl. Phys. B 147, 385–447, (1979);
Nucl. Phys. B 147, 448–518 (1979).
A. V. Anisovich, V. V. Anisovich, and A. V. Sarantsev, Phys. Rev. D 62, 051502(R) (2000);
D. V. Bugg, Phys. Rept. 397, 257 (2004);
E. Klempt and A. Zaitsev, Phys. Rept. 454, 1 (2007);
D. M. Li, B. Ma, Y. X. Li, Q. K. Yao, and H. Yu, Eur. Phys. J. C 37, 323 (2004);
S. S. Afonin, Phys. Lett. B 639, 258 (2006);
S. S. Afonin, Eur. Phys. J. A 29, 327 (2006);
S. S. Afonin, Phys. Rev. C 76, 015202 (2007);
S. S. Afonin, Int. J. Mod. Phys. A 22, 4537 (2007);
S. S. Afonin, Int. J. Mod. Phys. A 23, 4205 (2008);
S. S. Afonin, Mod. Phys. Lett. A 22, 1359 (2007);
S. S. Afonin, Mod. Phys. Lett. A 23, 4205 (2008);
S. S. Afonin, Mod. Phys. Lett. A 23, 3159 (2008);
M. Shifman and A. Vainshtein, Phys. Rev. D 77, 034002 (2008);
P. Masjuan, E. Ruiz Arriola, and W. Broniowski, Phys. Rev. D 85, 094006 (2012);
S. S. Afonin and I. V. Pusenkov, Phys. Rev. D 90, 094020 (2014);
S. S. Afonin and I. V. Pusenkov, Mod. Phys. Lett. A 29, 1450193 (2014).
S. S. Afonin, Phys. Lett. B 576, 122 (2003);
S. S. Afonin and D. Espriu, J. High Energy Phys. 0609, 047 (2006).
J. Gasser and H. Leutwyler, Nucl. Phys. B 250, 465 (1985).
G. Ecker, J. Gasser, A. Pich, and E. de Rafael, Nucl. Phys. B 321, 311 (1989).
T. Das, V.S. Mathur, and S. Okubo, Phys. Rev. Lett. 19, 859 (1967).
A. Pich, arXiv:1804.05664 [hep-ph].
M. Davier, A. Hocker, L. Girlanda, and J. Stern, Phys. Rev. D 58, 096014 (1998).