Abstract
We study a simple holographic model for gauge theories near the conformal edge to show that the dilaton can be parametrically lighter than any other composite states. The masses of all composite states, except the Nambu-Goldstone bosons like dilaton, are bounded by the infrared scale or the dynamical mass. The parametric dependence of the dilaton mass is controlled by the closeness of the anomalous dimension of the quark bilinear, that breaks spontaneously the scale symmetry, to the conformality. We also show in the holographic dual that under certain assumptions, the dilaton saturates at low energy the anomalous Ward identity for the dilatation currents.
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References
D.K. Hong, Very light dilaton and naturally light Higgs boson, JHEP 02 (2018) 102 [arXiv:1703.05081] [INSPIRE].
C. Eröncel, J. Hubisz and G. Rigo, Self-Organized Higgs Criticality, JHEP 03 (2019) 046 [arXiv:1804.00004] [INSPIRE].
K.-Y. Choi, D.K. Hong and S. Matsuzaki, Techni-dilaton as Dark Matter, Phys. Lett. B 706 (2011) 183 [arXiv:1101.5326] [INSPIRE].
K.-Y. Choi, D.K. Hong and S. Matsuzaki, Analysis of techni-dilaton as a dark matter candidate, JHEP 12 (2012) 059 [arXiv:1201.4988] [INSPIRE].
V. Gorbenko, S. Rychkov and B. Zan, Walking, Weak first-order transitions, and Complex CFTs, JHEP 10 (2018) 108 [arXiv:1807.11512] [INSPIRE].
D.B. Kaplan, J.-W. Lee, D.T. Son and M.A. Stephanov, Conformality Lost, Phys. Rev. D 80 (2009) 125005 [arXiv:0905.4752] [INSPIRE].
A.F. Faedo, C. Hoyos, D. Mateos and J.G. Subils, Holographic Complex Conformal Field Theories, Phys. Rev. Lett. 124 (2020) 161601 [arXiv:1909.04008] [INSPIRE].
A.F. Faedo, C. Hoyos, D. Mateos and J.G. Subils, Multiple mass hierarchies from complex fixed point collisions, JHEP 10 (2021) 246 [arXiv:2106.01802] [INSPIRE].
J. Alanen, K. Kajantie and K. Tuominen, Thermodynamics of Quasi Conformal Theories From Gauge/Gravity Duality, Phys. Rev. D 82 (2010) 055024 [arXiv:1003.5499] [INSPIRE].
J.M. Maldacena, The Large N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200] [INSPIRE].
T. Appelquist, J. Terning and L.C.R. Wijewardhana, The Zero temperature chiral phase transition in SU(N) gauge theories, Phys. Rev. Lett. 77 (1996) 1214 [hep-ph/9602385] [INSPIRE].
D.K. Hong and H.-U. Yee, Holographic estimate of oblique corrections for technicolor, Phys. Rev. D 74 (2006) 015011 [hep-ph/0602177] [INSPIRE].
L. Anguelova, P. Suranyi and L.C.R. Wijewardhana, On the stability of \( D7\hbox{--} \overline{D7} \) probes in near-conformal backgrounds, Nucl. Phys. B 881 (2014) 309 [arXiv:1306.1981].
W.D. Goldberger and M.B. Wise, Modulus stabilization with bulk fields, Phys. Rev. Lett. 83 (1999) 4922 [hep-ph/9907447] [INSPIRE].
D. Elander, C. Nunez and M. Piai, A Light scalar from walking solutions in gauge-string duality, Phys. Lett. B 686 (2010) 64 [arXiv:0908.2808] [INSPIRE].
D. Elander and M. Piai, Light scalars from a compact fifth dimension, JHEP 01 (2011) 026 [arXiv:1010.1964] [INSPIRE].
D. Kutasov, J. Lin and A. Parnachev, Conformal Phase Transitions at Weak and Strong Coupling, Nucl. Phys. B 858 (2012) 155 [arXiv:1107.2324] [INSPIRE].
L. Anguelova, P. Suranyi and L.C.R. Wijewardhana, Scalar Mesons in Holographic Walking Technicolor, Nucl. Phys. B 862 (2012) 671 [arXiv:1203.1968] [INSPIRE].
L. Anguelova, P. Suranyi and L.C.R. Wijewardhana, Glueball Spectrum in a Gauge Theory with Two Dynamical Scales, JHEP 05 (2013) 003 [arXiv:1212.1176] [INSPIRE].
D. Elander and M. Piai, Calculable mass hierarchies and a light dilaton from gravity duals, Phys. Lett. B 772 (2017) 110 [arXiv:1703.09205] [INSPIRE].
D. Elander and M. Piai, Glueballs on the Baryonic Branch of Klebanov-Strassler: dimensional deconstruction and a light scalar particle, JHEP 06 (2017) 003 [arXiv:1703.10158] [INSPIRE].
D. Elander, A.F. Faedo, D. Mateos, D. Pravos and J.G. Subils, Mass spectrum of gapped, non-confining theories with multi-scale dynamics, JHEP 05 (2019) 175 [arXiv:1810.04656] [INSPIRE].
K. Haba, S. Matsuzaki and K. Yamawaki, Holographic Techni-dilaton, Phys. Rev. D 82 (2010) 055007 [arXiv:1006.2526] [INSPIRE].
E. Megias and O. Pujolas, Naturally light dilatons from nearly marginal deformations, JHEP 08 (2014) 081 [arXiv:1401.4998] [INSPIRE].
P. Cox and T. Gherghetta, A Soft-Wall Dilaton, JHEP 02 (2015) 006 [arXiv:1411.1732] [INSPIRE].
B. Bellazzini, C. Csaki, J. Hubisz, J. Serra and J. Terning, A Naturally Light Dilaton and a Small Cosmological Constant, Eur. Phys. J. C 74 (2014) 2790 [arXiv:1305.3919] [INSPIRE].
N. Evans and K. Tuominen, Holographic modelling of a light technidilaton, Phys. Rev. D 87 (2013) 086003 [arXiv:1302.4553] [INSPIRE].
T. Alho, N. Evans and K. Tuominen, Dynamic AdS/QCD and the Spectrum of Walking Gauge Theories, Phys. Rev. D 88 (2013) 105016 [arXiv:1307.4896] [INSPIRE].
M. Jarvinen and E. Kiritsis, Holographic Models for QCD in the Veneziano Limit, JHEP 03 (2012) 002 [arXiv:1112.1261] [INSPIRE].
D. Kutasov, J. Lin and A. Parnachev, Holographic Walking from Tachyon DBI, Nucl. Phys. B 863 (2012) 361 [arXiv:1201.4123] [INSPIRE].
M. Goykhman and A. Parnachev, S-parameter, Technimesons, and Phase Transitions in Holographic Tachyon DBI Models, Phys. Rev. D 87 (2013) 026007 [arXiv:1211.0482] [INSPIRE].
A. Pomarol, O. Pujolas and L. Salas, Holographic conformal transition and light scalars, JHEP 10 (2019) 202 [arXiv:1905.02653] [INSPIRE].
E. Kiritsis and F. Nitti, On massless 4D gravitons from asymptotically AdS5 space-times, Nucl. Phys. B 772 (2007) 67 [hep-th/0611344] [INSPIRE].
M. Kawaguchi, S. Matsuzaki and X.-G. Huang, Dynamic scale anomalous transport in QCD with electromagnetic background, JHEP 10 (2020) 017 [arXiv:2007.00915] [INSPIRE].
I. Papadimitriou, Holographic Renormalization of general dilaton-axion gravity, JHEP 08 (2011) 119 [arXiv:1106.4826] [INSPIRE].
V.A. Miransky and V.P. Gusynin, Chiral Symmetry Breaking and Nonperturbative Scale Anomaly in Gauge Field Theories, Prog. Theor. Phys. 81 (1989) 426.
M. Jarvinen, Massive holographic QCD in the Veneziano limit, JHEP 07 (2015) 033 [arXiv:1501.07272] [INSPIRE].
D. Arean, I. Iatrakis, M. Järvinen and E. Kiritsis, V-QCD: Spectra, the dilaton and the S-parameter, Phys. Lett. B 720 (2013) 219 [arXiv:1211.6125] [INSPIRE].
D. Areán, I. Iatrakis, M. Järvinen and E. Kiritsis, The discontinuities of conformal transitions and mass spectra of V-QCD, JHEP 11 (2013) 068 [arXiv:1309.2286] [INSPIRE].
Acknowledgments
This work was supported by the National Research Foundation of Korea (NRF) grants funded by the Korean government (MSIT) (grant numbers 2021R1A4A5031460 (DKH) and 2021R1A2C1010834 (MJ)), Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2017R1D1A1B06033701) (DKH), and was also supported by IBS under the project code, IBS-R018-D1 (SHI). JCR and MJ have been supported by an appointment to the JRG Program at the APCTP through the Science and Technology Promotion Fund and Lottery Fund of the Korean Government. JCR and MJ have also been supported by the Korean Local Governments — Gyeongsangbuk-do Province and Pohang City. This work benefited from discussions during the APCTP focus program “QCD and gauge/gravity duality”.
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Rojas, J.C., Hong, D.K., Im, S.H. et al. Holographic light dilaton at the conformal edge. J. High Energ. Phys. 2023, 204 (2023). https://doi.org/10.1007/JHEP05(2023)204
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DOI: https://doi.org/10.1007/JHEP05(2023)204