Abstract
We study the time evolution of a brane construction that is holographically dual to a strongly coupled gauge theory that dynamically breaks a global symmetry through the generation of an effective composite Higgs vev. The D3/D7 system with a background magnetic field or non-trivial gauge coupling (dilaton) profile displays the symmetry breaking. We study motion of the D7 brane in the background of the D3 branes. For small field inflation in the field theory the effective Higgs vev rolls from zero to the true vacuum value. We study what phenomenological dilaton profile generates the slow rolling needed, hence learning how the strongly coupled gauge theory’s coupling must run. We note that evolution of our configuration in the holographic direction, representing the phyiscs of the strong interactions, can provide additional slowing of the roll time. Inflation seems to be favoured if the coupling changes by only a small amount or very gently. We speculate on how such a scenario could be realized away from N=4 gauge theory, for example, in a walking gauge theory.
Similar content being viewed by others
References
J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [Adv. Theor. Math. Phys. 2 (1998) 231] [hep-th/9711200] [SPIRES].
E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [SPIRES].
E. Witten, Anti-de Sitter space, thermal phase transition and confinement in gauge theories, Adv. Theor. Math. Phys. 2 (1998) 505 [hep-th/9803131] [SPIRES].
S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [SPIRES].
M. Kruczenski, D. Mateos, R.C. Myers and D.J. Winters, Towards a holographic dual of large-N c QCD, JHEP 05 (2004) 041 [hep-th/0311270] [SPIRES].
J. Babington, J. Erdmenger, N.J. Evans, Z. Guralnik and I. Kirsch, Chiral symmetry breaking and pions in non-supersymmetric gauge / gravity duals, Phys. Rev. D 69 (2004) 066007 [hep-th/0306018] [SPIRES].
K. Ghoroku and M. Yahiro, Chiral symmetry breaking driven by dilaton, Phys. Lett. B 604 (2004) 235 [hep-th/0408040] [SPIRES].
R. Alvares, N. Evans, A. Gebauer and G.J. Weatherill, Holographic integral equations and walking technicolour, Phys. Rev. D 81 (2010) 025013 [arXiv:0910.3073] [SPIRES].
D.H. Lyth and A. Riotto, Particle physics models of inflation and the cosmological density perturbation, Phys. Rept. 314 (1999) 1 [hep-ph/9807278] [SPIRES].
M. Graña and J. Polchinski, Gauge/gravity duals with holomorphic dilaton, Phys. Rev. D 65 (2002) 126005 [hep-th/0106014] [SPIRES].
M. Bertolini, P. Di Vecchia, M. Frau, A. Lerda and R. Marotta, N = 2 gauge theories on systems of fractional D3/D7 branes, Nucl. Phys. B 621 (2002) 157 [hep-th/0107057] [SPIRES].
A. Karch and E. Katz, Adding flavor to AdS/CFT, JHEP 06 (2002) 043 [hep-th/0205236] [SPIRES].
M. Kruczenski, D. Mateos, R.C. Myers and D.J. Winters, Meson spectroscopy in AdS/CFT with flavour, JHEP 07 (2003) 049 [hep-th/0304032] [SPIRES].
J. Erdmenger, N. Evans, I. Kirsch and E. Threlfall, Mesons in Gauge/Gravity Duals – A Review, Eur. Phys. J. A 35 (2008) 81 [arXiv:0711.4467] [SPIRES].
J. Erlich, E. Katz, D.T. Son and M.A. Stephanov, QCD and a Holographic Model of Hadrons, Phys. Rev. Lett. 95 (2005) 261602 [hep-ph/0501128] [SPIRES].
L. Da Rold and A. Pomarol, Chiral symmetry breaking from five dimensional spaces, Nucl. Phys. B 721 (2005) 79 [hep-ph/0501218] [SPIRES].
K. Dasgupta, C. Herdeiro, S. Hirano and R. Kallosh, D3/D7 inflationary model and M-theory, Phys. Rev. D 65 (2002) 126002 [hep-th/0203019] [SPIRES].
V.G. Filev, C.V. Johnson, R.C. Rashkov and K.S. Viswanathan, Flavoured large-N gauge theory in an external magnetic field, JHEP 10 (2007) 019 [hep-th/0701001] [SPIRES].
T. Albash, V.G. Filev, C.V. Johnson and A. Kundu, Finite Temperature Large-N Gauge Theory with Quarks in an External Magnetic Field, JHEP 07 (2008) 080 [arXiv:0709.1547] [SPIRES].
J. Erdmenger, R. Meyer and J.P. Shock, AdS/CFT with Flavour in Electric and Magnetic Kalb-Ramond Fields, JHEP 12 (2007) 091 [arXiv:0709.1551] [SPIRES].
A.V. Zayakin, QCD Vacuum Properties in a Magnetic Field from AdS/CFT: Chiral Condensate and Goldstone Mass, JHEP 07 (2008) 116 [arXiv:0807.2917] [SPIRES].
N. Evans, A. Gebauer, K.-Y. Kim and M. Magou, Holographic Description of the Phase Diagram of a Chiral Symmetry Breaking Gauge Theory, JHEP 03 (2010) 132 [arXiv:1002.1885] [SPIRES].
K. Jensen, A. Karch and E.G. Thompson, A Holographic Quantum Critical Point at Finite Magnetic Field and Finite Density, JHEP 05 (2010) 015 [arXiv:1002.2447] [SPIRES].
K. Jensen, A. Karch, D.T. Son and E.G. Thompson, Holographic Berezinskii-Kosterlitz-Thouless Transitions, Phys. Rev. Lett. 105 (2010) 041601 [arXiv:1002.3159] [SPIRES].
N. Evans, A. Gebauer, K.-Y. Kim and M. Magou, Phase diagram of the D3/D5 system in a magnetic field and a BKT transition, arXiv:1003.2694 [SPIRES].
N. Evans, K. Jensen and K.-Y. Kim, Non Mean-Field Quantum Critical Points from Holography, arXiv:1008.1889 [SPIRES].
A. Albrecht and P.J. Steinhardt, Cosmology for Grand Unified Theories with Radiatively Induced Symmetry Breaking, Phys. Rev. Lett. 48 (1982) 1220 [SPIRES].
A.D. Linde, A new inflationary universe scenario: a possible solution of the horizon, flatness, homogeneity, isotropy and primordial monopole problems, Phys. Lett. B 108 (1982) 389.
R.A. Janik, The dynamics of quark-gluon plasma and AdS/CFT, arXiv:1003.3291 [SPIRES].
J. Grosse, R.A. Janik and P. Surowka, Flavors in an expanding plasma, Phys. Rev. D 77 (2008) 066010 [arXiv:0709.3910] [SPIRES].
S.R. Das, T. Nishioka and T. Takayanagi, Probe Branes, Time-dependent Couplings and Thermalization in AdS/CFT, JHEP 07 (2010) 071 [arXiv:1005.3348] [SPIRES].
K. Murata, S. Kinoshita and N. Tanahashi, Non-equilibrium Condensation Process in a Holographic Superconductor, JHEP 07 (2010) 050 [arXiv:1005.0633] [SPIRES].
Y. Nambu and G. Jona-Lasinio, Dynamical model of elementary particles based on an analogy with superconductivity. I, Phys. Rev. 122 (1961) 345 [SPIRES].
V.G. Filev, Criticality, Scaling and Chiral Symmetry Breaking in External Magnetic Field, JHEP 04 (2008) 088 [arXiv:0706.3811] [SPIRES].
V.G. Filev, C.V. Johnson and J.P. Shock, Universal Holographic Chiral Dynamics in an External Magnetic Field, JHEP 08 (2009) 013 [arXiv:0903.5345] [SPIRES].
N. Seiberg, Electric-magnetic duality in supersymmetric nonAbelian gauge theories, Nucl. Phys. B 435 (1995) 129 [hep-th/9411149] [SPIRES].
T. Banks and A. Zaks, On the Phase Structure of Vector-Like Gauge Theories with Massless Fermions, Nucl. Phys. B 196 (1982) 189 [SPIRES].
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] [SPIRES].
F. Sannino and K. Tuominen, Orientifold theory dynamics and symmetry breaking, Phys. Rev. D 71 (2005) 051901 [hep-ph/0405209] [SPIRES].
D.D. Dietrich and F. Sannino, Walking in the SU(N), Phys. Rev. D 75 (2007) 085018 [hep-ph/0611341] [SPIRES].
T.A. Ryttov and F. Sannino, Conformal Windows of SU(N) Gauge Theories, Higher Dimensional Representations and The Size of The Unparticle World, Phys. Rev. D 76 (2007) 105004 [arXiv:0707.3166] [SPIRES].
T. Appelquist, G.T. Fleming and E.T. Neil, Lattice Study of Conformal Behavior in SU(3) Yang-Mills Theories, Phys. Rev. D 79 (2009) 076010 [arXiv:0901.3766] [SPIRES].
T. Appelquist, G.T. Fleming and E.T. Neil, Lattice Study of the Conformal Window in QCD-like Theories, Phys. Rev. Lett. 100 (2008) 171607 [Erratum ibid. 102 (2009) 149902] [arXiv:0712.0609] [SPIRES].
S. Catterall and F. Sannino, Minimal walking on the lattice, Phys. Rev. D 76 (2007) 034504 [arXiv:0705.1664] [SPIRES].
L. Del Debbio, B. Lucini, A. Patella, C. Pica and A. Rago, Conformal vs confining scenario in SU(2) with adjoint fermions, Phys. Rev. D 80 (2009) 074507 [arXiv:0907.3896] [SPIRES].
L. Del Debbio, A. Patella and C. Pica, Higher representations on the lattice: numerical simulations. SU(2) with adjoint fermions, Phys. Rev. D 81 (2010) 094503 [arXiv:0805.2058] [SPIRES].
S.J. Brodsky, G. de Teramond and A. Deur, AdS/QCD, Light-Front Holography and the Nonperturbative Running Coupling, Int. J. Mod. Phys. A 25 (2010) 5009 [arXiv:1002.4660] [SPIRES].
B. Holdom, Raising the Sideways Scale, Phys. Rev. D 24 (1981) 1441 [SPIRES].
T.W. Appelquist, D. Karabali and L.C.R. Wijewardhana, Chiral Hierarchies and the Flavor Changing Neutral Current Problem in Technicolor, Phys. Rev. Lett. 57 (1986) 957 [SPIRES].
S. Weinberg, Implications of Dynamical Symmetry Breaking, Phys. Rev. D 13 (1976) 974 [SPIRES].
L. Susskind, Dynamics of Spontaneous Symmetry Breaking in the Weinberg-Salam Theory, Phys. Rev. D 20 (1979) 2619 [SPIRES].
N. Evans, T. Kalaydzhyan, K.-y. Kim and I. Kirsch, Non-equilibrium physics at a holographic chiral phase transition, arXiv:1011.2519 [SPIRES].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1009.5678
Rights and permissions
About this article
Cite this article
Evans, N., French, J. & Kim, Ky. Holography of a composite inflaton. J. High Energ. Phys. 2010, 145 (2010). https://doi.org/10.1007/JHEP11(2010)145
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP11(2010)145