Abstract
A consistency check for any UV complete model for large N QCD should be, among other things, the existence of a well-defined vector and scalar mesonic spectra. In this paper, we use our UV complete model in type IIB string theory to study the IR dynamics and use this to predict the mesonic spectra in the dual type IIA side. The advantage of this approach is two-fold: not only will this justify the consistency of the supergravity approach, but it will also give us a way to compare the IR spectra and the model with the ones proposed earlier by Sakai and Sugimoto. Interestingly, the spectra coming from the massless stringy sector are independent of the UV physics, although the massive string sector may pose certain subtleties regarding the UV contributions as well as the mappings to actual QCD. Additionally, we find that a component of the string landscape enters the picture: there are points in the landscape where the spectra can be improved somewhat over the existing results in the literature. These points in the landscape in-turn also determine certain background supergravity components and fix various pathologies that eventually lead to a consistent low energy description of the theory.
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References
E. Witten, Baryons in the 1/n expansion, Nucl. Phys. B 160 (1979) 57 [INSPIRE].
J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [hep-th/9711200] [INSPIRE].
G. ’t Hooft, A planar diagram theory for strong interactions, Nucl. Phys. B 72 (1974) 461 [INSPIRE].
M. Mia, K. Dasgupta, C. Gale and S. Jeon, Five easy pieces: the dynamics of quarks in strongly coupled plasmas, Nucl. Phys. B 839 (2010) 187 [arXiv:0902.1540] [INSPIRE].
M. Mia, Thermodynamics of large-N gauge theory from top down holography, Phys. Rev. D 89 (2014) 043010 [arXiv:1307.7732] [INSPIRE].
M. Panero, Thermodynamics of the QCD plasma and the large-N limit, Phys. Rev. Lett. 103 (2009) 232001 [arXiv:0907.3719] [INSPIRE].
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].
T. Imoto, T. Sakai and S. Sugimoto, Mesons as open strings in a holographic dual of QCD, Prog. Theor. Phys. 124 (2010) 263 [arXiv:1005.0655] [INSPIRE].
M. Kruczenski, D. Mateos, R.C. Myers and D.J. Winters, Meson spectroscopy in AdS/CFT with flavor, JHEP 07 (2003) 049 [hep-th/0304032] [INSPIRE].
M. Ihl, M.A.C. Torres, H. Boschi-Filho and C.A.B. Bayona, Scalar and vector mesons of flavor chiral symmetry breaking in the Klebanov-Strassler background, JHEP 09 (2011) 026 [arXiv:1010.0993] [INSPIRE].
A.L. Cotrone, A. Dymarsky and S. Kuperstein, On vector meson masses in a holographic SQCD, JHEP 03 (2011) 005 [arXiv:1010.1017] [INSPIRE].
M. Mia, K. Dasgupta, C. Gale and S. Jeon, Toward large-N thermal QCD from dual gravity: the heavy quarkonium potential, Phys. Rev. D 82 (2010) 026004 [arXiv:1004.0387] [INSPIRE].
M. Mia, K. Dasgupta, C. Gale and S. Jeon, Heavy quarkonium melting in large-N thermal QCD, Phys. Lett. B 694 (2011) 460 [arXiv:1006.0055] [INSPIRE].
F. Chen, L. Chen, K. Dasgupta, M. Mia and O. Trottier, Ultraviolet complete model of large-N thermal QCD, Phys. Rev. D 87 (2013) 041901 [arXiv:1209.6061] [INSPIRE].
I.R. Klebanov and M.J. Strassler, Supergravity and a confining gauge theory: Duality cascades and chi SB resolution of naked singularities, JHEP 08 (2000) 052 [hep-th/0007191] [INSPIRE].
P. Ouyang, Holomorphic D7 branes and flavored N = 1 gauge theories, Nucl. Phys. B 699 (2004) 207 [hep-th/0311084] [INSPIRE].
H.-Y. Chen, P. Ouyang and G. Shiu, On supersymmetric D7-branes in the warped deformed conifold, JHEP 01 (2010) 028 [arXiv:0807.2428] [INSPIRE].
D.T. Son and M.A. Stephanov, QCD and dimensional deconstruction, Phys. Rev. D 69 (2004) 065020 [hep-ph/0304182] [INSPIRE].
M. Mia and F. Chen, Non extremal geometries and holographic phase transitions, JHEP 01 (2013) 083 [arXiv:1210.3365] [INSPIRE].
M. Becker, K. Dasgupta, A. Knauf and R. Tatar, Geometric transitions, flops and nonKähler manifolds. I, Nucl. Phys. B 702 (2004) 207 [hep-th/0403288] [INSPIRE].
F. Chen, K. Dasgupta, P. Franche, S. Katz and R. Tatar, Supersymmetric configurations, geometric transitions and new non-Kähler manifolds, Nucl. Phys. B 852 (2011) 553 [arXiv:1007.5316] [INSPIRE].
C. Vafa, Superstrings and topological strings at large-N, J. Math. Phys. 42 (2001) 2798 [hep-th/0008142] [INSPIRE].
K. Dasgupta, K. Oh and R. Tatar, Geometric transition, large-N dualities and MQCD dynamics, Nucl. Phys. B 610 (2001) 331 [hep-th/0105066] [INSPIRE].
G. Mandal and T. Morita, Gregory-Laflamme as the confinement/deconfinement transition in holographic QCD, JHEP 09 (2011) 073 [arXiv:1107.4048] [INSPIRE].
Particle Data Group collaboration, J. Beringer et al., Review of particle physics, Phys. Rev. D 86 (2012) 010001 [INSPIRE].
K. Dasgupta, G. Rajesh and S. Sethi, M theory, orientifolds and G-flux, JHEP 08 (1999) 023 [hep-th/9908088] [INSPIRE].
M. Dhuria and A. Misra, Towards MQGP, JHEP 11 (2013) 001 [arXiv:1306.4339] [INSPIRE].
M. Dhuria and A. Misra, Transport coefficients of black MQGP M 3-branes, Eur. Phys. J. C 75 (2015) 16 [arXiv:1406.6076] [INSPIRE].
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Dasgupta, K., Gale, C., Mia, M. et al. Infrared dynamics of a large N QCD model, the massless string sector and mesonic spectra. J. High Energ. Phys. 2015, 122 (2015). https://doi.org/10.1007/JHEP07(2015)122
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DOI: https://doi.org/10.1007/JHEP07(2015)122