Thesis (Ph. D.)--University of Wisconsin--Madison, 1982. / Typescript. Vita. Description based on print version record. Includes bibliographical references.

Thesis (Dr. rer. nat.)--Rheinische Friedrich-Wilhelms-Universität Bonn, 2001. / Includes bibliographical references (p. 131-133).

Thesis (Ph. D.)--University of Texas at Austin, 2004. / Supervisor: Daniel S. Freed. Vita. Includes bibliographical references. Also available from UMI.

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Motivated by the Klebanov-Polyakov conjecture we investigate the O(N) vector model at large N on a squashed three-sphere and its holographic relation to bulk gravity on asymptotically locally AdS4 space. We present analytical results for the action of the field theory as the squashing parameter , alpha→ -1, when the boundary becomes effectively one dimensional. In this limit we solve the theory exactly and show that the action of the boundary theory scales as ln(1 + alpha)/(1 + alpha)[2] which is to be compared and contrasted with the -1/(1 + alpha)[2] scaling of gravity in AdS-Taub-NUT space. These results are consistent with the numerical evidence presented in hep- th/0503238, and the soft logarithmic departure is interpreted as a prediction for the contribution due to higher spin fields in the bulk AdS[4] geometry. We then give an introduction to non relativistic AdS/CFT and numerically compute the inter quark potential in the non relativistic theory obtained by taking the DLCQ of N = 4 SYM theory by considering Wilson loops in the dual string theory via the AdS/CFT correspondence.

We develop new variational techniques, acting on classes of Lagrangians with the same functional dependence but arbitrary functional form, for the derivation of general, strongly conserved quantities, supplementing the usual procedure for deriving weak conservation laws via Noether's theorem. Using these new techniques we generate and generalize virtually all energy-momentum complexes currently known. In the process we discover and understand the reason for the difficulties associated with energy-momentum complexes in general relativity. We study a Palatini variation of a novel Lagrangian due to Nissani. We find that Nissani's principal claim, that his Lagrangian specifies Riemannian geometry in the presence of a generalized matter tensor, is not in fact justifiable, and prove that his Lagrangian is not unique. We speculate on the possibility of deriving a general-relativistic analog of Maxwell's current equation, a matter current equation, yielding an entirely new approach to the idea of energy-momentum in general relativity. We develop the SL(2,C) x U(1) spinor formalism naturally combining the gravitational and electromagnetic potentials in a single object--the spinor connection. Variably charged matter is rigourously introduced, through the use of spin densities, in the unified potential theories we develop. We generate both the Einstein-Maxwell equations and new equations. The latter generalize both the Maxwell equation and the Einstein equation which includes a new "gravitational stress-energy tensor". This new tensor exactly mimicks the electromagnetic stress-energy tensor with Riemann tensor contractions replacing Maxwell tensor contractions. We briefly consider the introduction of matter. A Lagrangian generalizing the two spinor Dirac equations has no gravitational currents and the electromagnetic currents must be on the light cone. A Lagrangian generalizing the Pauli equations has both gravitational and electromagnetic currents. The equations of both Lagrangians demonstrate beautifully how the divergence of the total stress-energy tensor vanishes in this formalism. In the theory of the generalized Einstein-Maxwell and Pauli equations we succeed in deriving an equation describing a generalized matter-charge current density. / Graduate

The potential for probing the Standard Model of elementary particle physics by measuring the interactions of W -bosons with Z0-bosons and photons (WW and WWZ triple gauge-boson couplings) using TeV-scale proton-proton collisions is described in the context of the ATLAS detector at the 14 TeV Large Hadron Collider (LHC). The ATLAS detector and LHC are currently under construction at the European Organization for Nuclear Research (CERN), with the rst data expected in 2006. New analysis techniques are presented in this thesis: (1) A new strategy for placing limits on the consistency of measured anomalous triple gauge-boson coupling parameters with the Standard Model is presented. The strategy removes the ambiguities of form factors, by reporting the limits as a function of a cuto operating on the diboson system invariant mass. (2) The `optimal observables' analysis strategy is investigated in the context of hadron colliders, and found to be not competitive, as compared to other strategies. (3) Techniques for measuring the energy dependence of anomalous couplings are presented .. . / Graduate / 0798