| Digital Archive


Search the Digital Archive

The Pion in AdS/QCD

Show full item record

Author: Wilcox, Ronald James
Advisor: Erlich, Joshua
Committee Members: Carone, Christopher D.; Bolotnikov, Vladimir, 1962-; Perdrisat, Charles
Issued Date: 4/29/2011
Subjects: Elementary particle physics
URI: http://hdl.handle.net/10288/13645
Description: Quantum Chromodynamics (QCD), the theory of the strong force describing quark interactions, is notoriously difficult to make calculations with because of properties such as confinement and asymptotic freedom. A model was developed several years ago using the Anti-de-Sitter/Conformal-Field-Theory (AdS/CFT) Correspondence conjectured by Juan Maldacena in terms of String Theory. In this paper, we first describe QCD and its associated chiral symmetry, and then develop Holographic QCD (or AdS/QCD), the model based on the AdS/CFT correspondence. We then describe the phenomenon of pion condensation to exhibit one discrepancy AdS/QCD shows from expectations. Using the model, we then derive the Gell-Mann-Oakes-Renner (GOR) relation for a real chiral condensate. In the derivation, we make a small detour to define the pion decay constant using the AdS/CFT correspondence. We then relax the assumption that the chiral condensate is real and derive a generalized GOR relation for a complex chiral condensate. After finding some unexpected results in the complex GOR relation, we attempt to find the cause of our problems and try a new field decomposition to reproduce our desired results.
Degree: Bachelors of Science in Physics

Files in this item

Files Size Format View Description
WilcoxRon2011_text.pdf 275.5Kb PDF View/Open Main Article
WilcoxRon2011_titlepage.pdf 1.012Mb PDF View/Open Title page

The following license files are associated with this item:

This item appears in the following Collection(s)

Show full item record