A walk through superstring theory with an application to Yang-Mills theory
| Autor: | Kory Stiffler |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Physics
Introduction to gauge theory Quantum gauge theory High Energy Physics::Lattice High Energy Physics::Phenomenology Lattice field theory Superstring theory Green–Schwarz mechanism High Energy Physics::Theory Theoretical physics Hamiltonian lattice gauge theory Supersymmetric gauge theory Lattice gauge theory Quantum mechanics |
| DOI: | 10.17077/etd.dworsrzz |
| Popis: | 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 Luscher 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 Luscher term is found to emerge as the one loop quantum corrections to the Dp-brane energy. In 2+1 space-time dimensions, we have Luscher term data to compare with from lattice gauge theory, where we find good agreement. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|