Große, Johannes (2006): Quantum field theories coupled to supergravity: AdS/CFT and local couplings. Dissertation, LMU München: Fakultät für Physik 

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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.
Dokumententyp:  Dissertation (Dissertation, LMU München) 

Keywords:  YangMills theory, AdS/CFT correspondence, QCD, chiral symmetry breaking, meson spectrum, Higgsbranch, heavylight mesons, spacetime dependent couplings, ctheorem, atheorem 
Themengebiete:  500 Naturwissenschaften und Mathematik > 530 Physik
500 Naturwissenschaften und Mathematik 
Fakultäten:  Fakultät für Physik 
Sprache der Hochschulschrift:  Englisch 
Datum der mündlichen Prüfung:  8. November 2006 
1. Berichterstatter/in:  Erdmenger, Johanna 
MD5 Prüfsumme der PDFDatei:  ed075492b878066bf6035de4fe019047 
Signatur der gedruckten Ausgabe:  0001/UMC 16131 
ID Code:  6761 
Eingestellt am:  02. May 2007 
Letzte Änderungen:  19. Jul. 2016 16:22 