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A walk through superstring theory with an application to Yang-Mills theory : k-strings and D-branes as gauge / gravity dual objects
| Content Provider | Semantic Scholar |
|---|---|
| Author | Stiffler, Kory |
| Copyright Year | 2016 |
| Abstract | Superstring theory is one current, promising attempt at unifying gravity with the other three known forces: the electromagnetic force, and the weak and strong nuclear forces. Though this is still a work in progress, much effort has been put toward this goal. A set of specific tools which are used in this effort are gauge/gravity dualities. This thesis consists of a specific implementation of gauge/gravity dualities to describe k-strings of strongly coupled gauge theories as objects dual to Dp-branes embedded in confining supergravity backgrounds from low energy superstring field theory. Along with superstring theory, k-strings are also commonly investigated with lattice gauge theory and Hamiltonian methods. A k-string is a colorless combination of quark-antiquark source pairs, between which a color flux tube develops. The two most notable terms of the k-string energy are, for large quark anti-quark separation L, the tension term, proportional to L, and the Coulombic 1/L correction, known as the Lüscher term. This thesis provides an overview of superstring theories and how gauge/gravity dualities emerge from them. It shows in detail how these dualities can be used for the specific problem of calculating the k-string energy in 2 + 1 and 3 + 1 space-time dimensions as the energy of Dp-branes in the dual gravitational theory. A detailed review of k-string tension calculations is given where good agreement is found with lattice gauge theory and Hamiltonian methods. In reviewing the k-string tension, we also touch on how different representations of k-strings can be described with Dp-branes through gauge/gravity dualities. The main result of this thesis is how the Lüscher term is found to emerge as the one loop quantum corrections to the Dp-brane energy. In 2+1 space-time dimensions, we have Lüscher term data to compare with from lattice gauge theory, where we find good agreement. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://ir.uiowa.edu/cgi/viewcontent.cgi?article=1929&context=etd |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Dimensions Dual Embedded system Embedding Hamiltonian (quantum mechanics) Lattice gauge theory Like button Physical object Quantum field theory Review [Publication Type] Tension Williams tube YANG |
| Content Type | Text |
| Resource Type | Article |
