Electric neutron polarizability and eigenspectrum subtraction techniques for disconnected quark loops.

I present an analysis for the mass shift of the neutron in order to obtain the neutron electric polarizability. Neutron electric polarizability can be studied by implementing a static electric field on the lattice. The implementation of this field, though, is non-trivial and the "proper" form for lattice implementation is studied and the various techniques are presented. Separately, I present the development of new techniques to calculate disconnected quark loops; a quantity that is necessary for many different analyzes but has been shown to be computationally intensive. These new techniques, which use Z(N) noise, utilize the eigenspectrum of the quark matrix to reduce statistical error found in disconnected operators.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Doctoral

Grantor

Baylor University.

Year dc:date.issued

2011

Author dc:creator

• Guerrero, Victor Xavier.

Advisor dc:contributor.advisor

• Wilcox, Walter, 1954-

• Lattice QCD.
• Physics.
• Quark loops.
• Numerical linear solvers.
• GMRES.
• Eigenspectrum subtraction.

Statement dc:rights

• Baylor University works are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. Contact libraryquestions@baylor.edu for inquiries about permission.

Language dc:language.iso

en

Handle dc:identifier.uri

https://hdl.handle.net/2104/8214

OAI identifier oai:identifier

oai:baylor-ir.tdl.org:2104/8214