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Title page, contents and abstract only. The complete thesis in print form is available from the University of Adelaide Library. / In this thesis we present a comprehensive study of perturbative and non-perturbative non-Abelian gauge theories in the light of gauge-fixing procedures, focusing our attention on the BRST formalism in Yang-Mills theory. / http://proxy.library.adelaide.edu.au/login?url= http://library.adelaide.edu.au/cgi-bin/Pwebrecon.cgi?BBID=1284180 / Thesis (Ph.D.) -- University of Adelaide, School of Chemistry and Physics, 2007

Bibliography : leaves 117-120 / vi, 120 leaves ; 30 cm. / Title page, contents and abstract only. The complete thesis in print form is available from the University Library. / Thesis (Ph.D.)--University of Adelaide, Dept. of Physics and Mathematical Physics, 1992

Title page, contents and abstract only. The complete thesis in print form is available from the University of Adelaide Library. / In this thesis we present a comprehensive study of perturbative and non-perturbative non-Abelian gauge theories in the light of gauge-fixing procedures, focusing our attention on the BRST formalism in Yang-Mills theory. / http://proxy.library.adelaide.edu.au/login?url= http://library.adelaide.edu.au/cgi-bin/Pwebrecon.cgi?BBID=1284180 / Thesis (Ph.D.) -- University of Adelaide, School of Chemistry and Physics, 2007

Thesis (Ph. D.)--University of Adelaide, Dept. of Physics and Mathematical Physics, 1992. / Includes bibliographical references (p. 105-111).

In this thesis we study two classes of backgrounds in Typo IIB supergravity which admit interpretation in terms of dual N = 1 Supersymmetric Field Theories. The first is obtained by wrapping D5 branes on a two-cycle inside the conifold; the second is the class containing the dual to the baryonic branch of Klebanov-Strassler. These backgrounds are related via a 'solution generating procedure' (or rotation) and have a number of interesting properties. First, we study non-Supersymmetric deformations of the baryonic branch by making use of the rotation procedure. We interpret these deformations as soft-breaking through the addition of gaugino masses, and calculate various observables which support this picture. We then explore the two-dimensional solution space of supergravity solutions associated with these deformations, finding a number of interesting limiting cases. We see that much of the structure of the Supersymmetric baryonic branch survives, even for large values of the deformation. Second, we study probe-D7 branes which wrap an internal three-dimensional manifold and lie at the equator of the transverse two-sphere, in the class of wrapped D5 brane backgrounds. We employ this method to model Chiral-symmetry breaking and present a simple diagnostic tool for determining the classical stability of such embeddings, in particular cases we find that a new type of phase transition appears, putting limits on the region of parameter space which can be used to study physics of the dual field theory. Finally, we study the relationship between confinement in a Quantum Field Theory and the presence of a first-order phase transition in its Entanglement Entropy. We determine the sufficient conditions for such a phase transition and compare to the conditions on a Rectangular Wilson Loop to probe confinement. In certain backgrounds with non-local high energy behaviour, we show that new configurations (associated with the introduction of a UV cutoff) are required in order to recover the otherwise absent phase transition. We also show that a local UV-completion, obtained using the rotation procedure, to the non-local theories has a similar effect to the cutoff.

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A thesis submitted to the Faculty of Science, University of the Witwatersrand, in fulfilment of the requirements for the degree of Doctor of Philosophy February 2017. / In this dissertation we exploit the Ads slash CFT correspondence to describe a system of strings suspended between giant gravitons. The strings can be in an excited state. The excitations of the strings can be given a particle-like description and are known as magnons. The proposed gauge invariant operators used to construct a complete description of this system belong to the su(2) sector of the N = 4 SYM. Using an open spin chain description of the suspended strings, the states of the system we consider enjoy an SU 2j2)2 symmetry. By making use of this symmetry, we compute the all loop anomalous dimensions of these operators. The spectrum of the dilatation operator in the su(2) sector of the theory is reproduced in the dual gravity description. In the dual theory, the energies of the magnons are computed using strings in a background LLM geometry and the results are in complete agreement with the anomalous dimensions of the operators we have considered. Using the symmetries enjoyed by our system we achieve a complete determination - up to an overall phase - of the reection/scattering matrix between a boundary magnon and a bulk magnon. Thus, although the open boundary conditions of the spin chain spoil integrability. The two-loop subleading correction to the dilatation operator is also explored. This subleading term corresponds to a correction of the magnon energies. The computation of this subleading term requires consideration of the giant's backreaction on their excitations. We nd that this backreaction implies a nontrivial mixing of the dual operators and this mixing is characterized completely. / MT2017

Thesis (Ph. D.)--University of Texas at Austin, 2000. / Vita. Includes bibliographical references (leaves 117-118). Available also in a digital version from Dissertation Abstracts.