Abstract
We use holographic correspondence to argue that Euclidean (Bunch-Davies) vacuum is a late-time attractor of the dynamical evolution of quantum gauge theories at strong coupling. The Bunch-Davies vacuum is not an adiabatic state, if the gauge theory is non-conformal — the comoving entropy production rate is nonzero. Using the \( \mathcal{N}={2}^{\ast } \) gauge theory holography, we explore prospects of explaining current accelerated expansion of the Universe as due to the vacuum energy of a strongly coupled QFT.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Supernova Search Team collaboration, A.G. Riess et al., Observational evidence from supernovae for an accelerating universe and a cosmological constant, Astron. J. 116 (1998) 1009 [astro-ph/9805201] [INSPIRE].
Supernova Cosmology Project collaboration, S. Perlmutter et al., Measurements of Omega and Lambda from 42 high redshift supernovae, Astrophys. J. 517 (1999) 565 [astro-ph/9812133] [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].
O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large-N field theories, string theory and gravity, Phys. Rept. 323 (2000) 183 [hep-th/9905111] [INSPIRE].
N.D. Birrell and P.C.W. Davies, Quantum Fields in Curved Space, Cambridge University Press (1982), doi:10.1017/CBO9780511622632.
S.W. Hawking, T. Hertog and H.S. Reall, Trace anomaly driven inflation, Phys. Rev. D 63 (2001) 083504 [hep-th/0010232] [INSPIRE].
A. Buchel, Gauge/gravity correspondence in accelerating universe, Phys. Rev. D 65 (2002) 125015 [hep-th/0203041] [INSPIRE].
A. Buchel, P. Langfelder and J. Walcher, On time dependent backgrounds in supergravity and string theory, Phys. Rev. D 67 (2003) 024011 [hep-th/0207214] [INSPIRE].
A. Buchel, Compactifications of the N = 2∗ flow, Phys. Lett. B 570 (2003) 89 [hep-th/0302107] [INSPIRE].
A. Buchel and A. Ghodsi, Braneworld inflation, Phys. Rev. D 70 (2004) 126008 [hep-th/0404151] [INSPIRE].
A. Buchel, Inflation on the resolved warped deformed conifold, Phys. Rev. D 74 (2006) 046009 [hep-th/0601013] [INSPIRE].
A. Buchel and D.A. Galante, Cascading gauge theory on dS 4 and String Theory landscape, Nucl. Phys. B 883 (2014) 107 [arXiv:1310.1372] [INSPIRE].
L. Anguelova, P. Suranyi and L.C.R. Wijewardhana, De Sitter Space in Gauge/Gravity Duality, Nucl. Phys. B 899 (2015) 651 [arXiv:1412.8422] [INSPIRE].
L. Anguelova, A Gravity Dual of Ultra-slow Roll Inflation, Nucl. Phys. B 911 (2016) 480 [arXiv:1512.08556] [INSPIRE].
T.S. Bunch and P.C.W. Davies, Quantum Field Theory in de Sitter Space: Renormalization by Point Splitting, Proc. Roy. Soc. Lond. A 360 (1978) 117.
E. Mottola, Particle Creation in de Sitter Space, Phys. Rev. D 31 (1985) 754 [INSPIRE].
B. Allen, Vacuum States in de Sitter Space, Phys. Rev. D 32 (1985) 3136 [INSPIRE].
R. Easther, B.R. Greene, W.H. Kinney and G. Shiu, Inflation as a probe of short distance physics, Phys. Rev. D 64 (2001) 103502 [hep-th/0104102] [INSPIRE].
T. Banks and L. Mannelli, De Sitter vacua, renormalization and locality, Phys. Rev. D 67 (2003) 065009 [hep-th/0209113] [INSPIRE].
M.B. Einhorn and F. Larsen, Interacting quantum field theory in de Sitter vacua, Phys. Rev. D 67 (2003) 024001 [hep-th/0209159] [INSPIRE].
M.B. Einhorn and F. Larsen, Squeezed states in the de Sitter vacuum, Phys. Rev. D 68 (2003) 064002 [hep-th/0305056] [INSPIRE].
H. Collins, R. Holman and M.R. Martin, The fate of the α-vacuum, Phys. Rev. D 68 (2003) 124012 [hep-th/0306028] [INSPIRE].
K. Pilch and N.P. Warner, N=2 supersymmetric RG flows and the IIB dilaton, Nucl. Phys. B 594 (2001) 209 [hep-th/0004063] [INSPIRE].
A. Buchel, A.W. Peet and J. Polchinski, Gauge dual and noncommutative extension of an N = 2 supergravity solution, Phys. Rev. D 63(2001) 044009 [hep-th/0008076] [INSPIRE].
N.J. Evans, C.V. Johnson and M. Petrini, The enhancon and N = 2 gauge theory: Gravity RG flows, JHEP 10 (2000) 022 [hep-th/0008081] [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].
E. Witten, Anti-de Sitter space, thermal phase transition and confinement in gauge theories, Adv. Theor. Math. Phys. 2 (1998) 505 [hep-th/9803131] [INSPIRE].
O. Aharony, A. Buchel and A. Yarom, Holographic renormalization of cascading gauge theories, Phys. Rev. D 72 (2005) 066003 [hep-th/0506002] [INSPIRE].
A. Buchel, M.P. Heller and J. Noronha, Entropy production, hydrodynamics and resurgence in the primordial quark-gluon plasma from holography, Phys. Rev. D 94 (2016) 106011 [arXiv:1603.05344] [INSPIRE].
R. Donagi and E. Witten, Supersymmetric Yang-Mills theory and integrable systems, Nucl. Phys. B 460 (1996) 299 [hep-th/9510101] [INSPIRE].
A. Buchel, J.G. Russo and K. Zarembo, Rigorous Test of Non-conformal Holography: Wilson Loops in N = 2∗ Theory, JHEP 03 (2013) 062 [arXiv:1301.1597] [INSPIRE].
A. Buchel, Localization and holography in N = 2 gauge theories, JHEP 08 (2013) 004 [arXiv:1304.5652] [INSPIRE].
V. Pestun, Localization of gauge theory on a four-sphere and supersymmetric Wilson loops, Commun. Math. Phys. 313 (2012) 71 [arXiv:0712.2824] [INSPIRE].
N. Bobev, H. Elvang, D.Z. Freedman and S.S. Pufu, Holography for N = 2∗ on S 4, JHEP 07 (2014) 001 [arXiv:1311.1508] [INSPIRE].
V. Balasubramanian and A. Buchel, On consistent truncations in N = 2∗ holography, JHEP 02 (2014) 030 [arXiv:1311.5044] [INSPIRE].
P.M. Chesler and L.G. Yaffe, Numerical solution of gravitational dynamics in asymptotically anti-de Sitter spacetimes, JHEP 07 (2014) 086 [arXiv:1309.1439] [INSPIRE].
A. Buchel, S. Deakin, P. Kerner and J.T. Liu, Thermodynamics of the N = 2∗ strongly coupled plasma, Nucl. Phys. B 784 (2007) 72 [hep-th/0701142] [INSPIRE].
A. Buchel, L. Lehner and R.C. Myers, Thermal quenches in N = 2∗ plasmas, JHEP 08 (2012) 049 [arXiv:1206.6785] [INSPIRE].
I. Booth, Black hole boundaries, Can. J. Phys. 83 (2005) 1073 [gr-qc/0508107] [INSPIRE].
P. Figueras, V.E. Hubeny, M. Rangamani and S.F. Ross, Dynamical black holes and expanding plasmas, JHEP 04 (2009) 137 [arXiv:0902.4696] [INSPIRE].
A. Buchel, R.C. Myers and A. van Niekerk, Nonlocal probes of thermalization in holographic quenches with spectral methods, JHEP 02 (2015) 017 [Erratum ibid. 1507 (2015) 137] [arXiv:1410.6201] [INSPIRE].
O. Aharony, A. Buchel and P. Kerner, The black hole in the throat: Thermodynamics of strongly coupled cascading gauge theories, Phys. Rev. D 76 (2007) 086005 [arXiv:0706.1768] [INSPIRE].
L.D. Landau and E.M. Lifshitz, Course of Theoretical Physics, Volume 6: Fluid Mechanics, Pergamon Press (1959).
P.S. Apostolopoulos, G. Siopsis and N. Tetradis, Cosmology from an AdS Schwarzschild black hole via holography, Phys. Rev. Lett. 102 (2009) 151301 [arXiv:0809.3505] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1702.01320
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Buchel, A., Karapetyan, A. De Sitter vacua of strongly interacting QFT. J. High Energ. Phys. 2017, 114 (2017). https://doi.org/10.1007/JHEP03(2017)114
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP03(2017)114