QCD and dimensional deconstruction
By D. Son, M. Stephanov. 2003
214 citations recorded by the source corpus.
Motivated by phenomenological models of hidden local symmetries and the ideas of dimensional deconstruction and gauge/gravity duality, we consider the model of an ``open moose.'' Such a model has a large number K of hidden gauge groups as well as a global chiral symmetry. In the continuum limit $\stackrel{\ensuremath{\rightarrow}}{K}\ensuremath{\infty}$ the model becomes a 4+1 dimensional theory of a gauge field propagating in a dilaton background and an external space-time metric with two boundaries. We show that the model reproduces several well known phenomenological and theoretical aspects of low-energy hadron dynamics, such as vector meson dominance. We derive the general formulas for the mass spectrum, the decay constants of the pion and vector mesons, and the couplings between mesons. We then consider two simple realizations, one with a flat metric and another with a ``cosh'' metric interpolating between two anti\char21{}de Sitter (AdS) boundaries. For the pion form factor, the single pole \ensuremath{\rho}-meson dominance is exact in the latter case and approximate in the former case. We discover that an AdS/conformal field theory-like prescription emerges in the computation of current-current correlators. We speculate on the role of the model in the theory dual to QCD.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/3bc389a111e2e9382463eae0e19e9531bc8f8cfa
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Citations in the corpus
- Low energy hadron physics in holographic QCD (2004, methodology): “12) (9)This form of the pion field is also considered in [59].”
- The 4D composite Higgs (2011, methodology): “To add resonances to this picture we extend the construction of [13], which was formulated in the context of QCD.”
- Holographic Baryons Static Properties and Form Factors from Gauge/String Duality (2008, background): “It will tell us that both QCD and string theory in a higher-dimensional curved background (holographic QCD) can be a fundamental theory of strong interaction at the same time.”
- Baryons from instantons in holographic QCD (2007, unknown): “∗hata@gauge.scphys.kyoto-u.ac.jp †tsakai@mx.ibaraki.ac.jp ‡sugimoto@eken.phys.nagoya-u.ac.jp §yamato@gauge.scphys.kyoto-u.ac.jp”
- The Composite Nambu-Goldstone Higgs (2015, background): “36) defines the “unitary gauge” of the theory, indeed it ensures that the Goldstones do not have a quadratic mixing with the gauge fields [163].”
- Dynamics of baryons from string theory and vector dominance (2007, background): “It is in this way via what is called “moose construction” [24] that the tower of vector mesons emerge in a dimensionally deconstructed QCD [4] with a five-dimensional YM action analogous to that reduced from string theory that we have been discussing.”
- Interpolating between low and high energy QCD via a 5D Yang-Mills model (2005, methodology): “9), we identify the combination of parameters of the 5D RS1 model that correspond to Nc [19] Nc = 12π2 g2 4 .”
- Light-front holographic QCD and emerging confinement (2014, unknown): “The geometry on which the D8-branes live is similar to one considered earlier by Son and Stephanov, albeit in latticized form, in the context of extended hidden local symmetry models [346].”