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Nahm's equations and hyperkaehler geometryDancer, Andrew Stuart January 1991 (has links)
No description available.
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An application of the continuity method for an equation on line bundlesGonçalves, Alexandre Casassola. January 2002 (has links) (PDF)
Thesis (Ph. D.)--University of Texas at Austin, 2002. / Vita. Includes bibliographical references. Available also from UMI Company.
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An application of the continuity method for an equation on line bundlesGonçalves, Alexandre Casassola 28 August 2008 (has links)
Not available / text
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Quiver guage theories, chiral rings and random matrix modelsDi Napoli, Edoardo Angelo 28 August 2008 (has links)
Not available / text
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Aspects of SU(2|4) symmetric field theories and the Lin-Maldacena geometriesvan Anders, Greg 11 1900 (has links)
Gauge/gravity duality is an important tool for learning about strongly coupled gauge theories. This thesis explores a set of examples of this duality in which the field theories have SU(2|4) supersymmetry and discrete sets of vacuum solutions. Specifically, we use the duality to propose Lagrangian definitions of type IIA Little String Theory on S⁵ as double-scaling limits of the Plane-Wave Matrix Model, maximally supersymmetric Yang-Mills theory
on R x S² and N=4 supersymmetric Yang-Mills theory on R×S³/Zk. We find the supergravity solutions dual to generic vacua of the Plane-Wave Matrix Model and maximally supersymmetric Yang-Mills theory on R×S².
We use the supergravity duals to calculate new instanton amplitudes for the Plane-Wave Matrix Model at strong coupling. Finally, we study a natural coarse-graining of the vacua, and find that the associated geometries are singular. We define an entropy functional that vanishes for regular geometries, is non-zero for singular geometries, and is maximized by the thermal state.
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Yang-Mills flow in 1+1 dimensions coupled with a scalar fieldMikula, Paul 07 January 2015 (has links)
We define a Yang-Mills model in 1+1 dimensions coupled to a real scalar field and we
study the Yang-Mills flow equations for this simple model. Yang-Mills flows have not
been thoroughly studied, especially in a physical context, but may be able to provide
valuable insight into both particle physics as well as gravity. We study our model using
both the Hamiltonian equations and Euler-Lagrange equations, and we calculate the
flow numerically using a simple finite difference method for the case of an Abelian Lie
group and static fields. We are able to find several analytic solutions to the equations
of motion and the numerical calculation of the flow suggests most non-constant solutions
are unstable. We also find that the flow depends upon the relative values of the coupling
constant and the mass of the scalar field. The results found with this simple model provide
a starting point for the study of Yang-Mills flow in the context of more complicated (but
more physical) models such as the Abelian Higgs.
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Optimization and the convergence of perturbation seriesNicholls, Jennifer Ann January 1990 (has links)
This thesis is concerned with the possible sums of perturbation series in mass- less, renormalizable field theories. It shows that, given a free choice of scheme, the limit of the sequence of approximants is arbitrary. Restricting the choice to finite schemes, in particular "zero schemes", yields a perturbatively unique limit to the sequence of approximants. An operational method for calculating perturbative expansions in the class of zero schemes is discussed. A comparison of various optimization schemes is given for a few phenomenological examples in QCD and QED.
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Aspects of SU(2|4) symmetric field theories and the Lin-Maldacena geometriesvan Anders, Greg 11 1900 (has links)
Gauge/gravity duality is an important tool for learning about strongly coupled gauge theories. This thesis explores a set of examples of this duality in which the field theories have SU(2|4) supersymmetry and discrete sets of vacuum solutions. Specifically, we use the duality to propose Lagrangian definitions of type IIA Little String Theory on S⁵ as double-scaling limits of the Plane-Wave Matrix Model, maximally supersymmetric Yang-Mills theory
on R x S² and N=4 supersymmetric Yang-Mills theory on R×S³/Zk. We find the supergravity solutions dual to generic vacua of the Plane-Wave Matrix Model and maximally supersymmetric Yang-Mills theory on R×S².
We use the supergravity duals to calculate new instanton amplitudes for the Plane-Wave Matrix Model at strong coupling. Finally, we study a natural coarse-graining of the vacua, and find that the associated geometries are singular. We define an entropy functional that vanishes for regular geometries, is non-zero for singular geometries, and is maximized by the thermal state.
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Calculations in gauge field theory at finite temperature /Rawlinson, Andrew A. January 1992 (has links) (PDF)
Thesis (Ph. D.)--University of Adelaide, Dept. of Physics and Mathematical Physics, 1992. / Includes bibliographical references (leaves 117-120).
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Optically generated gauge potentials and their effects in cold atoms /Song, Jianjun. January 2008 (has links)
Thesis (Ph.D.)--Hong Kong University of Science and Technology, 2008. / Includes bibliographical references (p. 123-131). Also available in electronic version.
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