2010/11/30 by Kory Stiffler, Stiffler, Kory
Computer Science · Engineering · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Computational Physics and Python Applications #FOS: Physical sciences #Gauge theory #Gravitation #Green–Schwarz mechanism #High Energy Physics - Theory (hep-th) #Lattice gauge theory #Particle physics #Physics #Quantum #Quantum gravity #Quantum mechanics #Relationship between string theory and quantum field theory #String field theory #String theory #Superconducting Materials and Applications #Supergravity #Superstring theory #Supersymmetry #Theoretical physics #hep-th
paper · pdf · doi:10.48550/arxiv.1012.0021
Ph.D. Thesis, The University of Iowa. 131 pages, 23 figures
openalex publication_date 2010/11/30 · arxiv created 2011/01/03 · arxiv updated 2015/03/17 · openalex created_date 2022/10/01 · openalex updated_date 2026/08/05
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.