Author
Mitchell, Matthew DominiqueIssue Date
2019Advisor
Meinel, Stefan
Metadata
Show full item recordPublisher
The University of Arizona.Rights
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.Abstract
We provide a brief introduction to quantum field theories through the example of the Klein-Gordon scalar field both via canonical quantization and the path integral formulation. Next, we introduce the formalism of quantum chromodynamics, the quantum field theory of quarks and their interaction via the strong force. Here we demonstrate how to compute the quark field portion of n-point correlation functions and describe the lattice computation behind evaluating the remaining path integral over the gluon gauge field. In this thesis, we apply these methods to compute the b quark contribution to the electromagnetic form factor of the B meson. From the form factor, we extract the b quark contribution to the root mean square charge radius of the B meson and report this to be rRMS = 0.349 ± 0.95 fm.Type
textElectronic Thesis
Degree Name
B.S.Degree Program
Honors CollegePhysics