Towards a holographic dual of large- N c QCD
By M. Kruczenski, D. Mateos, R. Myers, D. Winters. 2003
495 citations recorded by the source corpus.
We study N f D6-brane probes in the supergravity background dual to N c D4-branes compactified on a circle with supersymmetry-breaking boundary conditions. In the limit in which the resulting Kaluza-Klein modes decouple, the gauge theory reduces to non-supersymmetric, four-dimensional QCD with N c colours and N f 0, obeying the Gell-Mann-Oakes-Renner relation: M π 2 = −m q ψ/fπ2 . In the case 1$> N f>1 we provide a holographic version of the Vafa-Witten theorem, which states that the U(N f) flavour symmetry cannot be spontaneously broken. Further, we find N f 2−1 unexpectedly light pseudo-scalar mesons in the spectrum. We argue that these are not (pseudo-)Goldstone bosons and speculate on the string mechanism responsible for their lightness. We then study the theory at finite temperature and exhibit a phase transition associated with a discontinuity in ψ(T). D6/ pairs are also briefly discussed.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/1d890ca30d83edd44e17cf16dce6c1f427c4b3e2
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Citations in the corpus
- Low energy hadron physics in holographic QCD (2004, methodology): “As discussed in [5], this supergravity description is valid when 1 ≪ g(2) YMNc ≪ 1/g(4) YM .”
- Strongly correlated quantum fluids: ultracold quantum gases, quantum chromodynamic plasmas and holographic duality (2012, methodology): “(i) Top down approach: In this approach, one starts from string theory and chooses an appropriate D-brane configuration to get as close as possible to the realistic QCD [89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110].”
- Holographic phase transitions at finite chemical potential (2007, methodology): “Holography relates these quantities to a quark mass and a condensate[10] by”
- Light-front holographic QCD and emerging confinement (2014, methodology): “Propagators in the Limiting Theory of AdS5 F.1 AdS boundary conditions and gauge/gravity cor- respondence The formal statement of the duality between a gravity theory on a (d+1)-dimensional Anti-de Sitter AdSd+1 space and the strong coupling limit of a conformal field theory (CFT) on the d-dimension”
- Meson spectroscopy from holomorphic probes on the warped deformed conifold (2004, unknown): “For related works, see [13], [14], [15], [16], [17], [18], [19], [20], [21].”
- Thermodynamics of the brane (2007, methodology): “if antiperiodic boundary conditions for the adjoint fermions are imposed, then supersymmetry is broken and the four-dimensional theory exhibits confinement [2] and spontaneous chiral symmetry breaking [5]. The holographic description at zero-temperature consists then of D6-brane probes in a horizon-f”
- Mesons in gauge/gravity duals (2007, methodology): “The authors of [21] consider the D4/D6 system with the branes oriented as described by the following array: 0 1 2 3 4 5 6 7 8 9 N D4 X X X X X Nf D6 X X X X X X X The D4- and the D6-branes may be separated from each other along the 89-directions.”
- Chiral symmetry breaking as open string tachyon condensation (2007, methodology): “In fact, we can apply here a result that was derived in [4] for a different setup.”
- Introduction to holographic superconductor models (2015, methodology): “It is referred as AdS/QCD or holographic QCD, which has been widely studied [222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235].”
- Holographic chiral phase transition with chemical potential (2006, methodology): “Using this chemical potential we analyze the phase structure of this model and find a chiral symmetry phase transition of the first order.”