algebraic quantum field theory (perturbative, on curved spacetimes, homotopical)
quantum mechanical system, quantum probability
interacting field quantization
In the context of the 't Hooft double line construction and the AdS/CFT correspondence with colors, the small region or large limit is the situation away from the large N limit. In this large limit perturbative string theory-corrections (for small 't Hooft coupling ) and/or M-theory-corrections (for small ) to the supergravity-approximation of the AdS/CFT correspondence are relevant.
In application to phenomenology, the small region (and hence M-theory) is what is ultimately relevant for the AdS/QCD correspondence, given that quantum chromodynamics has a small number of quark colors:
On the general relevance of M-theory at small in gauge/gravity duality:
Leonard Susskind, Another Conjecture about M(atrix) Theory (arXiv:hep-th/9704080)
(in the context of the BFSS matrix model)
Nissan Itzhaki, Juan Maldacena, Jacob Sonnenschein, Shimon Yankielowicz, Supergravity and The Large Limit of Theories With Sixteen Supercharges, Phys. Rev. D 58, 046004 (1998) (arXiv:hep-th/9802042)
(phase diagrams in and 't Hooft coupling for various Dp-brane species)
On the logical equivalence between the four-colour theorem and a statement about transition from the small N limit to the large N limit for Lie algebra weight systems on Jacobi diagrams via the 't Hooft double line construction:
B. Basso, Cusp anomalous dimension in planar maximally supersymmetric Yang-Mills theory (spire:858223)
“The result (29) coincides exactly with the recent two-loop stringy correction computed in Alday-Maldacena 07, providing a striking confirmation of the AdS/CFT correspondence.”
David Jorrin, Nicolas Kovensky, Martin Schvellinger, Towards corrections to deep inelastic scattering from the gauge/gravity duality, JHEP 04 (2016) 113 (arXiv:1601.01627)
Discussion of small N corrections via a lattice QFT-Ansatz on the AdS side of AdS2/CFT1:
Using the conformal bootstrap for CFTs at small N to deduce M-theory-properties on the dual side:
Nathan B. Agmon, Shai Chester, Silviu S. Pufu, Solving M-theory with the Conformal Bootstrap, JHEP 06 (2018) 159 (arXiv:1711.07343)
Shai Chester, Bootstrapping M-theory, 2018 (pdf)
Specifically for the D=6 N=(2,0) SCFT on the M5-brane via AdS7/CFT6:
Shai Chester, Eric Perlmutter, M-Theory Reconstruction from CFT and the Chiral Algebra Conjecture, J. High Energ. Phys. (2018) 2018: 116 (arXiv:1805.00892)
Luis Alday, Shai Chester, Himanshu Raj, 6d and M-theory at 1-loop (arXiv:2005.07175)
Specifically for the D=3 SCFT (BLG-model, ABJM model) on the M2-brane via AdS4/CFT3
Specifically in AdS5/CFT4 via D3-brane contributions:
Discussion of small N corrections specifically in holographic QCD:
B. Basso, Cusp anomalous dimension in planar maximally supersymmetric Yang-Mills theory, Continuous Advances in QCD 2008, pp. 317-328 (2008) (spire:858223, doi:10.1142/9789812838667_0027)
“The result (29) coincides exactly with the recent two-loop stringy correction computed in Alday-Maldacena 07, providing a striking confirmation of the AdS/CFT correspondence.”
H. Dorn, H.-J. Otto, On Wilson loops and -potentials from the AdS/CFT relation at , In: A. Ceresole, C. Kounnas , Dieter Lüst, Stefan Theisen (eds.) Quantum Aspects of Gauge Theories, Supersymmetry and Unification Lecture Notes in Physics, vol 525. Springer 2007 (arXiv:hep-th/9812109, doi:10.1007/BFb0104268)
Masayasu Harada, Shinya Matsuzaki, and Koichi Yamawaki, Implications of holographic QCD in chiral perturbation theory with hidden local symmetry, Phys. Rev. D 74, 076004 (2006) (doi:10.1103/PhysRevD.74.076004)
(with an eye towards hidden local symmetry in chiral perturbation theory)
Csaba Csaki, Matthew Reece, John Terning, The AdS/QCD Correspondence: Still Undelivered, JHEP 0905:067, 2009 (arXiv:0811.3001)
Salvatore Baldino, Stefano Bolognesi, Sven Bjarke Gudnason, Deniz Koksal, A Solitonic Approach to Holographic Nuclear Physics, Phys. Rev. D 96, 034008 (2017) (arXiv:1703.08695)
On 1/N corrections in 2d QCD:
Last revised on August 30, 2021 at 12:03:16. See the history of this page for a list of all contributions to it.