QCD/String holographic mapping and glueball mass spectrum

The European Physical Journal C - Tập 32 - Trang 529-533 - 2004
H. Boschi-Filho1, N. R. F. Braga1
1Instituto de Física, Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil

Tóm tắt

Recently Polchinski and Strassler reproduced the high energy QCD scaling at fixed angles from a gauge string duality inspired by the AdS/CFT correspondence. In their approach a confining gauge theory is taken as approximately dual to an AdS space with an IR cut-off. Considering such an approximation (AdS slice) we found a one to one holographic mapping between bulk and boundary scalar fields. Associating the bulk fields with dilatons and the boundary fields with glueballs of the confining gauge theory we also found the same high energy QCD scaling. Here, using this holographic mapping, we give a simple estimate for the mass ratios of the glueballs assuming the AdS slice approximation to be valid at low energies. We also compare these results to those coming from supergravity and lattice QCD.

Tài liệu tham khảo

J. Polchinski, M.J. Strassler, Phys. Rev. Lett. 88, 031601 (2002) J. Polchinski, M.J. Strassler, JHEP 05, 012 (2003) V.A. Matveev, R.M. Muradian, A.N. Tavkhelidze, Lett. Nuovo Cim. 7, 719 (1973) S.J. Brodsky, G.R. Farrar, Phys. Rev. Lett 31, 1153 (1973) H. Boschi-Filho, N.R.F. Braga, Phys. Lett. B 560, 232 (2003) S.B. Giddings, Phys. Rev. D 67, 126001 (2003) R.C. Brower, C.I. Tan, Nucl. Phys. B 662, 393 (2003) O. Andreev, Phys. Rev. D 67, 046001 (2003) J. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998) S.S. Gubser, I.R. Klebanov, A.M. Polyakov, Phys. Lett. B 428, 105 (1998) E. Witten, Adv. Theor. Math. Phys. 2, 253 (1998) O. Aharony, S.S. Gubser, J. Maldacena, H. Ooguri, Y. Oz, Phys. Rept. 323, 183 (2000) G. ‘t Hooft, Dimensional reduction in quantum gravity, in Salam Festschrifft, edited by A. Aly, J. Ellis, S. Randjbar-Daemi (World Scientific, Singapore 1993), gr-qc/9310026 L. Susskind, J. Math. Phys. 36, 6377 (1995) L. Susskind, E. Witten, The holographic bound in anti-de Sitter space, SU-ITP-98-39, IASSNS-HEP-98-44, hep-th 9805114 R. Bousso, Class. Quant. Grav. 17, 997 (2000) J. Babington, D.E. Crooks, N. Evans, Phys. Rev. D 67, 066007 (2003) L. Randall, R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999) L. Randall, R. Sundrum, Phys. Rev. Lett. 83, 4690 (1999) J. Maldacena, C. Nunez, Phys. Rev. Lett. 86, 588 (2001) E. Witten, Adv. Theor. Math. Phys. 2, 505 (1998) Y. Oz, J. Terning, Nucl. Phys. B 532, 163 (1998) C. Csaki, H. Ooguri, Y. Oz, J. Terning, JHEP 9901, 017 (1999) R. de Mello Koch, A. Jevicki, M. Mihailescu, J.P. Nunes, Phys. Rev. D 58, 105009 (1998) A. Hashimoto, Y. Oz, Nucl. Phys. B 548, 167 (1999) C. Csaki, Y. Oz, J. Russo, J. Terning, Phys. Rev. D 59, 065012 (1999) J.A. Minahan, JHEP 9901, 020 (1999) C. Csaki, J. Terning, AIP Conf. Proc. 494, 321 (1999), hep-th/9903142 R.C. Brower, S.D. Mathur, C.I. Tan, Nucl. Phys. B 587, 249 (2000) H. Boschi-Filho, N.R.F. Braga, Phys. Lett. B 525, 164 (2002) J. Polchinski, String Theory, Vols. 1 and 2 (Cambridge University Press, Cambridge 1998) H. Boschi-Filho, N.R.F. Braga, Phys. Lett. B 505, 263 (2001) C.J. Morningstar, M. Peardon, Phys. Rev. D 56, 4043 (1997) M.J. Teper, Physics from lattice: Glueballs in QCD R. Apreda, D.E. Crooks, N. Evans, M. Petrini, Confinement, Glueballs and Strings from Deformed AdS, hep-th 0308006 H. Boschi-Filho, N.R.F. Braga, JHEP 05, 009 (2003)