In this dissertation, we investigate the approach of pure SU(2) lattice gauge theory to its continuum limit using the deconfinement
temperature, six gradient scales, and six cooling scales. We find that cooling scales exhibit similarly good scaling behavior as gradient
scales, while being computationally more efficient. In addition, we estimate systematic error in continuum limit extrapolations of scale ratios
by comparing standard scaling to asymptotic scaling. Finally we study topological observables in pure SU(2) using cooling to smooth the gauge
fields, and investigate the sensitivity of cooling scales to topological charge. We find that large numbers of cooling sweeps lead to metastable
charge sectors, without destroying physical instantons, provided the lattice spacing is fine enough and the volume is large enough. Continuum
limit estimates of the topological susceptibility are obtained, of which we favor χ 1/4 /T c = 0.643(12). Differences between cooling scales in
different topological sectors turn out to be too small to be detectable within our statistical error. / A Dissertation submitted to the Department of Physics in partial fulfillment of the requirements for the degree
of Doctor of Philosophy. / Fall Semester 2018. / September 14, 2018. / continuum limit, finite size scaling, lattice field theory, scale, topology / Includes bibliographical references. / Bernd Berg, Professor Co-Directing Dissertation; Laura Reina, Professor Co-Directing Dissertation; Thomas
Albrecht-Schmitt, University Representative; Rachel Yohay, Committee Member; Peter Hoeflich, Committee Member.
| Identifer | oai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_661129 |
| Contributors | Clarke, David A. (David Anthony) (author), Berg, Bernd A. (professor co-directing dissertation), Reina, Laura (professor co-directing dissertation), Albrecht-Schmitt, Thomas E. (university representative), Yohay, Rachel (committee member), Höflich, Peter, 1958- (committee member), Florida State University (degree granting institution), College of Arts and Sciences (degree granting college), Department of Physics (degree granting departmentdgg) |
| Publisher | Florida State University |
| Source Sets | Florida State University |
| Language | English, English |
| Detected Language | English |
| Type | Text, text, doctoral thesis |
| Format | 1 online resource (123 pages), computer, application/pdf |
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