Große, Johannes (2006): Quantum field theories coupled to supergravity: AdS/CFT and local couplings. Dissertation, LMU München: Faculty of Physics 

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Abstract
This dissertation is devoted to the investigation of the interplay of supersymmetric YangMills theories (SYM) and supergravity (SUGRA). The topic is studied from two points of view: Firstly from the point of view of AdS/CFT correspondence, which realises the coupling of four dimensional superconformal N=4 SYM theory and ten dimensional type IIB SUGRA in a holographic way. In order to arrive at theories that resemble quantum chromodynamics (QCD) more closely, fundamental fields are introduced using probe D7branes and nontrivial background configuration are considered. In particular supergravity solutions that are only asymptotically antide Sitter and break supersymmetry are used. This allows the description of spontaneous chiral symmetry breaking. The meson spectrum is calculated and the existence of an associated Goldstone mode is demonstrated. Moreover it is shown that highly radially excited mesons are not degenerate. Additionally instanton configurations on the D7branes are investigated, which lead to a holographic description of the dual field theory's Higgs branch. Finally a holographic description of heavylight mesons is developed, which are mesons consisting of quarks with a large mass difference, such that a treatment of B mesons can be achieved. The second approach to the topic of this thesis is the technique of socalled spacetime dependent couplings ("local couplings"), where coupling constants are promoted to external sources. This allows to explore the conformal anomaly of quantum field theories coupled to a classical gravity background. The technique is extended to the superfield description of N=1 supergravity, a complete basis for the anomaly is given and the consistency conditions that arise from a cohomological treatment are calculated. Possible implications for an extension of Zamolodchikov's ctheorem to four dimensional supersymmetric quantum field theories are discussed.
Item Type:  Thesis (Dissertation, LMU Munich) 

Keywords:  YangMills theory, AdS/CFT correspondence, QCD, chiral symmetry breaking, meson spectrum, Higgsbranch, heavylight mesons, spacetime dependent couplings, ctheorem, atheorem 
Subjects:  600 Natural sciences and mathematics > 530 Physics 600 Natural sciences and mathematics 
Faculties:  Faculty of Physics 
Language:  English 
Date Accepted:  8. November 2006 
1. Referee:  Erdmenger, Johanna 
Persistent Identifier (URN):  urn:nbn:de:bvb:1967614 
MD5 Checksum of the PDFfile:  ed075492b878066bf6035de4fe019047 
Signature of the printed copy:  0001/UMC 16131 
ID Code:  6761 
Deposited On:  02. May 2007 
Last Modified:  16. Oct 2012 08:05 