Holographic descriptions of QCD
Holographic descriptions of QCD
The AdS/CFT correspondence has long been used as a tool for understanding non-perturbative phenomena in gauge theories because it is an example of a 'strong-weak' duality: when one side of the duality is weakly coupled, the other is strongly coupled and vice-versa. Hence strongly coupled phenomena can be studied by looking at the weakly coupled side of the duality. In its original form the correspondence proposes a duality between type IIB superstring theory on AdSs x S5 and an M = 4 supersymmetric Yang-Mills theory in four dimensions. In this thesis we investigate proposed duals to QCD-itself. Duals to QCD fall into two categories: 'top-down' and 'bottom-up'. We take inspiration from both by truncating a consistent solution to the type IlB supergravity equations of motion (top-down). This model demonstrates dynamical chiral symmetry breaking, has a running coupling and contains a holographic description of the vector meson sector. By artificially extending the existing U(l) symmetry to SU(2) (bottom- up) we then obtain a holographic description of the axial vector sector. We show that this model reproduces the masses and decay constants of the lightest mesons to the 10% level. By regulating the UV with a sharp cut-off we can reproduce the p meson masses to. within 2%. Finally we demonstrate that this model can be used to reproduce a very good agreement with hadroriization data for particle production over a range of four orders of magnitude.
University of Southampton
2008
Tedder, Andrew John Mark
(2008)
Holographic descriptions of QCD.
University of Southampton, Doctoral Thesis.
Record type:
Thesis
(Doctoral)
Abstract
The AdS/CFT correspondence has long been used as a tool for understanding non-perturbative phenomena in gauge theories because it is an example of a 'strong-weak' duality: when one side of the duality is weakly coupled, the other is strongly coupled and vice-versa. Hence strongly coupled phenomena can be studied by looking at the weakly coupled side of the duality. In its original form the correspondence proposes a duality between type IIB superstring theory on AdSs x S5 and an M = 4 supersymmetric Yang-Mills theory in four dimensions. In this thesis we investigate proposed duals to QCD-itself. Duals to QCD fall into two categories: 'top-down' and 'bottom-up'. We take inspiration from both by truncating a consistent solution to the type IlB supergravity equations of motion (top-down). This model demonstrates dynamical chiral symmetry breaking, has a running coupling and contains a holographic description of the vector meson sector. By artificially extending the existing U(l) symmetry to SU(2) (bottom- up) we then obtain a holographic description of the axial vector sector. We show that this model reproduces the masses and decay constants of the lightest mesons to the 10% level. By regulating the UV with a sharp cut-off we can reproduce the p meson masses to. within 2%. Finally we demonstrate that this model can be used to reproduce a very good agreement with hadroriization data for particle production over a range of four orders of magnitude.
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Published date: 2008
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Local EPrints ID: 466521
URI: http://eprints.soton.ac.uk/id/eprint/466521
PURE UUID: 876176a7-c274-4d1d-8989-c9473878f3fb
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Date deposited: 05 Jul 2022 05:36
Last modified: 05 Jul 2022 05:36
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Author:
Andrew John Mark Tedder
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