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Topology in SU(2) lattice gauge theory and parallelization of functional magnetic resonance imaging

Abstract

In this thesis, I discuss topological properties of quenched SU(2) lattice gauge fields. In particular, clusters of topological charge density exhibit a power-law. The exponent of that power-law can be used to validate models for lattice gauge fields. Instead of working with fixed cutoffs of the topological charge density, using the notion of a ''watermark'' is more convenient. Furthermore, I discuss how a parallel computer, originally designed for lattice gauge field simulations, can be used for functional magnetic resonance imaging. Multi parameter fits can be parallelized to achieve almost real-time evaluation of fMRI data. (orig.)
Authors:
Publication Date:
Jul 01, 2008
Product Type:
Thesis/Dissertation
Report Number:
INIS-DE-0552
Resource Relation:
Other Information: TH: Diss. (Dr.rer.nat.)
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; TOPOLOGY; MAGNETIC RESONANCE; COMPUTERIZED SIMULATION; SU-2 GROUPS; LATTICE FIELD THEORY; UNIFIED GAUGE MODELS; VECTOR FIELDS; PARALLEL PROCESSING; IMAGE PROCESSING; MAXIMUM-LIKELIHOOD FIT; REAL TIME SYSTEMS; TEMPERATURE ZERO K; TEMPERATURE DEPENDENCE
OSTI ID:
21138908
Research Organizations:
Regensburg Univ. (Germany). Wissenschaftliche Fakultaet II - Physik
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
TRN: DE09F1550
Availability:
Commercial reproduction prohibited; INIS; OSTI as DE21138908
Submitting Site:
DEN
Size:
110 pages
Announcement Date:
Mar 23, 2009

Citation Formats

Solbrig, Stefan. Topology in SU(2) lattice gauge theory and parallelization of functional magnetic resonance imaging. Germany: N. p., 2008. Web.
Solbrig, Stefan. Topology in SU(2) lattice gauge theory and parallelization of functional magnetic resonance imaging. Germany.
Solbrig, Stefan. 2008. "Topology in SU(2) lattice gauge theory and parallelization of functional magnetic resonance imaging." Germany.
@misc{etde_21138908,
title = {Topology in SU(2) lattice gauge theory and parallelization of functional magnetic resonance imaging}
author = {Solbrig, Stefan}
abstractNote = {In this thesis, I discuss topological properties of quenched SU(2) lattice gauge fields. In particular, clusters of topological charge density exhibit a power-law. The exponent of that power-law can be used to validate models for lattice gauge fields. Instead of working with fixed cutoffs of the topological charge density, using the notion of a ''watermark'' is more convenient. Furthermore, I discuss how a parallel computer, originally designed for lattice gauge field simulations, can be used for functional magnetic resonance imaging. Multi parameter fits can be parallelized to achieve almost real-time evaluation of fMRI data. (orig.)}
place = {Germany}
year = {2008}
month = {Jul}
}