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Black holes and thermodynamics of non-gravitational theories /Sahakian, Vatche V. January 1999 (has links)
Thesis (Ph. D.)--University of Chicago, Dept. of Physics, June 1999. / Includes bibliographical references. Also available on the Internet.
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Ricci Yang-Mills FlowStreets, Jeffrey D. 04 May 2007 (has links)
Let (Mn, g) be a Riemannian manifold. Say K ! E ! M is a principal K-bundle
with connection A. We define a natural evolution equation for the pair (g,A) combining
the Ricci flow for g and the Yang-Mills flow for A which we dub Ricci Yang-Mills
flow. We show that these equations are, up to di eomorphism equivalence, the gradient
flow equations for a Riemannian functional on M. Associated to this energy
functional is an entropy functional which is monotonically increasing in areas close
to a developing singularity. This entropy functional is used to prove a non-collapsing
theorem for certain solutions to Ricci Yang-Mills flow.
We show that these equations, after an appropriate change of gauge, are equivalent
to a strictly parabolic system, and hence prove general unique short-time existence
of solutions. Furthermore we prove derivative estimates of Bernstein-Shi type.
These can be used to find a complete obstruction to long-time existence, as well as
to prove a compactness theorem for Ricci Yang Mills flow solutions.
Our main result is a fairly general long-time existence and convergence theorem
for volume-normalized solutions to Ricci Yang-Mills flow. The limiting pair (g,A)
satisfies equations coupling the Einstein and Yang-Mills conditions on g and A respectively.
Roughly these conditions are that the associated curvature FA must be
large, and satisfy a certain “stability” condition determined by a quadratic action of
FA on symmetric two-tensors.
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Modified Ricci flow on a principal bundleYoung, Andrea Nicole, 1979- 10 September 2012 (has links)
Let M be a Riemannian manifold with metric g, and let P be a principal G-bundle over M having connection one-form a. One can define a modified version of the Ricci flow on P by fixing the size of the fiber. These equations are called the Ricci Yang-Mills flow, due to their coupling of the Ricci flow and the Yang-Mills heat flow. In this thesis, we derive the Ricci Yang-Mills flow and show that solutions exist for a short time and are unique. We study obstructions to the long-time existence of the flow and prove a compactness theorem for pointed solutions. We represent the Ricci Yang-Mills flow as a gradient flow and derive monotonicity formulas that can be used to study breather and soliton solutions. Finally, we use maximal regularity theory and ideas of Simonett concerning the asymptotic behavior of abstract quasilinear parabolic partial differential equations to study the stability of the Ricci Yang-Mills flow in dimension 2 at Einstein Yang-Mills metrics. / text
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Higher order contributions to the effective action of N = 2 and 4 supersymmetric Yang-Mills theories from heat kernel techniques in superspaceGrasso, Darren Trevor January 2007 (has links)
The one-loop effective action for N = 2 and N = 4 supersymmetric Yang-Mills theories are computed to order F5; and F6 respectively by the use of heat kernel techniques in N = 1 superspace. The computations are carried out via the introduction of a new method for computing DeWitt-Seeley coefficients in the coincidence limit. To order F5, the bosonic components of both N = 2 and N = 4 supersymmetric Yang-Mills theories are extracted and compared with the existing literature. For N = 4 super Yang-Mills theories the F5 terms are found to be consistent with the non-Abelian Born-Infeld action computed to this order by superstring methods and various other means of computing deformations of supersymmetric Yang-Mills theory. The result proved to be the final piece of a puzzle, leaving little doubt that there exists a unique deformation of maximally symmetric super Yang-Mills theories at this order. The F6 terms will be of importance for comparison with superstring calculations, including direct tests of the AdS/CFT conjecture. The bosonic components of N = 2 supersymmetric Yang-Mills are also shown to be consistent with existing literature, and will be of importance for testing of generalizations of the AdS/CFT conjecture.
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Modified Ricci flow on a principal bundleYoung, Andrea Nicole, January 1900 (has links)
Thesis (Ph. D.)--University of Texas at Austin, 2008. / Vita. Includes bibliographical references.
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Ricci Yang-Mills FlowStreets, Jeffrey D., January 2007 (has links)
Thesis (Ph. D.)--Duke University, 2007. / Includes bibliographical references.
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Super Yang-Mills theories on the latticeBibireata, Daniel, January 2005 (has links)
Thesis (Ph. D.)--Ohio State University, 2005. / Title from first page of PDF file. Document formatted into pages; contains x, 94 p.; also includes graphics Includes bibliographical references (p. 52-54). Available online via OhioLINK's ETD Center
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Phase structure of maximally supersymmetric Yang-Mills theory with R-symmetry chemical potentials /Yamada, Daisuke. January 2006 (has links)
Thesis (Ph. D.)--University of Washington, 2006. / Vita. Includes bibliographical references (p. 65-70).
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Two dimensional supersymmetric models and some of their thermodynamic properties from the context of SDLCQProestos, Yiannis, January 2007 (has links)
Thesis (Ph. D.)--Ohio State University, 2007. / Title from first page of PDF file. Includes bibliographical references (p. 190-199).
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Modern perturbative techniques applied to Yang-Mills and gravity theoriesAlston, Sam D. January 2013 (has links)
No description available.
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