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Dissertations / Theses on the topic 'Lattice theory'

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Published: 4 June 2021

Last updated: 25 July 2025

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1

Race, David M. (David Michael). "Consistency in Lattices." Thesis, North Texas State University, 1986. https://digital.library.unt.edu/ark:/67531/metadc331688/.

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Let L be a lattice. For x ∈ L, we say x is a consistent join-irreducible if x V y is a join-irreducible of the lattice [y,1] for all y in L. We say L is consistent if every join-irreducible of L is consistent. In this dissertation, we study the notion of consistent elements in semimodular lattices.

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2

Radu, Ion. "Stone's representation theorem." CSUSB ScholarWorks, 2007. https://scholarworks.lib.csusb.edu/etd-project/3087.

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The thesis analyzes some aspects of the theory of distributive lattices, particularly two representation theorems: Birkhoff's representation theorem for finite distributive lattices and Stone's representation theorem for infinite distributive lattices.

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3

Endres, Michael G. "Topics in lattice field theory /." Thesis, Connect to this title online; UW restricted, 2007. http://hdl.handle.net/1773/9713.

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4

Bowman, K. "A lattice theory for algebras." Thesis, Lancaster University, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.234611.

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5

Michels, Amanda Therese. "Aspects of lattice gauge theory." Thesis, University of Oxford, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.297217.

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6

Buckle, John Francis. "Computational aspects of lattice theory." Thesis, University of Warwick, 1989. http://wrap.warwick.ac.uk/106446/.

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The use of computers to produce a user-friendly safe environment is an important area of research in computer science. This dissertation investigates how computers can be used to create an interactive environment for lattice theory. The dissertation is divided into three parts. Chapters two and three discuss mathematical aspects of lattice theory, chapter four describes methods of representing and displaying distributive lattices and chapters five, six and seven describe a definitive based environment for lattice theory. Chapter two investigates lattice congruences and pre-orders and demonstra

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7

Craig, Andrew Philip Knott. "Lattice-valued uniform convergence spaces the case of enriched lattices." Thesis, Rhodes University, 2008. http://hdl.handle.net/10962/d1005225.

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Using a pseudo-bisymmetric enriched cl-premonoid as the underlying lattice, we examine different categories of lattice-valued spaces. Lattice-valued topological spaces, uniform spaces and limit spaces are described, and we produce a new definition of stratified lattice-valued uniform convergence spaces in this generalised lattice context. We show that the category of stratified L-uniform convergence spaces is topological, and that the forgetful functor preserves initial constructions for the underlying stratified L-limit space. For the case of L a complete Heyting algebra, it is shown that the

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8

Pugh, David John Rhydwyn. "Topological structures in lattice gauge theory." Thesis, University of Oxford, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.279896.

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9

Schaich, David. "Strong dynamics and lattice gauge theory." Thesis, Boston University, 2012. https://hdl.handle.net/2144/32057.

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Thesis (Ph.D.)--Boston University<br>In this dissertation I use lattice gauge theory to study models of electroweak symmetry breaking that involve new strong dynamics. Electroweak symmetry breaking (EWSB) is the process by which elementary particles acquire mass. First proposed in the 1960s, this process has been clearly established by experiments, and can now be considered a law of nature. However, the physics underlying EWSB is still unknown, and understanding it remains a central challenge in particle physics today. A natural possibility is that EWSB is driven by the dynamics of some new,

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10

Schenk, Stefan. "Density functional theory on a lattice." kostenfrei, 2009. http://d-nb.info/998385956/34.

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11

Bär, Oliver. "Chiral perturbation theory for lattice QCD." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät I, 2011. http://dx.doi.org/10.18452/13976.

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Eine zusammenfassende Übersicht über die Formulierung der chiralen Störungstheorie (ChPT) für die Gitter Quantenchromodynamik (QCD) ist gegeben. Wir beginnen mit kurzen Zusammenfassungen der chiralen Störungstheorie für die Kontinuum-QCD sowie Symanziks effektiver Theorie für die Gitter-QCD. Anschließend wird die Formulierung der ChPT für die Gitter-QCD behandelt. Nach einem weiteren Kapitel über partial quenching und Theorien mit gemischten Wirkungen werden konkrete Anwendungen diskutiert: Wilson ChPT, staggered ChPT sowie Wilson ChPT mit einem chiral verdrehten Massenterm. Die folgenden Kap

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12

Du, Daping. "Fisher's zeros in lattice gauge theory." Diss., University of Iowa, 2011. https://ir.uiowa.edu/etd/1217.

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In this thesis, we study the Fisher's zeros in lattice gauge theory. The analysis of singularities in the complex coupling plane is an important tool to understand the critical phenomena of statistical models. The Fisher's zero structure characterizes the scaling properties of the underlying models and has a strong influence on the complex renormalization group transformation flows in the region away from both the strong and weak coupling regimes. By reconstructing the density of states, we try to develop a systematical method to investigate these singularities and we apply the method to SU(2)

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13

Gragg, Karen E. (Karen Elizabeth). "Dually Semimodular Consistent Lattices." Thesis, North Texas State University, 1988. https://digital.library.unt.edu/ark:/67531/metadc330641/.

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A lattice L is said to be dually semimodular if for all elements a and b in L, a ∨ b covers b implies that a covers a ∧ b. L is consistent if for every join-irreducible j and every element x in L, the element x ∨ j is a join-irreducible in the upper interval [x,l]. In this paper, finite dually semimodular consistent lattices are investigated. Examples of these lattices are the lattices of subnormal subgroups of a finite group. In 1954, R. P. Dilworth proved that in a finite modular lattice, the number of elements covering exactly k elements is equal to the number of elements covered by exactly

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14

Weston, Robert Andrew. "Lattice field theory and statistical-mechanical models." Thesis, University of Cambridge, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.315971.

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15

West, Stephen T. "Z(3) interfaces in lattice gauge theory." Thesis, University of Oxford, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.320664.

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16

Watson, Nicholas Jay. "Coupled cluster methods in lattice gauge theory." Thesis, University of Oxford, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.305424.

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17

Tickle, Graham Alexander. "Glueballs in SU(2) lattice gauge theory." Thesis, University of Liverpool, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.316546.

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18

Scott, C. J. "Nucleon wave function from lattice gauge theory." Thesis, University of Southampton, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.379111.

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19

Kieu, T. D. "Theory and applications of lattice fermionic regularisations." Thesis, University of Edinburgh, 1988. http://hdl.handle.net/1842/10991.

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20

McNeile, Craig. "Lattice gauge theory calculations of hadron phenomenology." Thesis, University of Edinburgh, 1992. http://hdl.handle.net/1842/15359.

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In this thesis I study Quantum Chromodynamics on the lattice. A central theme will be the concept of improvement; this is choosing the lattice Lagrangian to minimise the effects of the lattice spacing on the results from numerical simulation. The first chapter reviews lattice gauge theory and introduces the idea of improvement. The techniques used in numerical simulations are briefly described. The second chapter will discuss whether an improved fermion lattice action called the clover action, obeys the reflection positivity condition. This is related to the existence of a transfer matrix. In

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21

Stephanov, Mikhail Alexeevich. "Scalar-fermion theories on the lattice." Thesis, University of Oxford, 1994. http://ora.ox.ac.uk/objects/uuid:555a30de-2df9-4d39-b2dc-1974398911f7.

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We study scalar-fermion models with Yukawa interaction on a space-time lat- tice. Such models can describe the Higgs sector of the Standard Model in the case when the Higgs particle is very heavy (few hundred GeV) and there are very heavy fermions whose masses are due to their Yukawa interactions with the Higgs field. We study a realistic model with four component scalar field as well as simplified models with one and two component scalar fields. We use a mean field approximation to calculate equations for critical lines in the large d (dimension of space-time) limit. These lines are in very

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22

Roweth, Duncan. "Parallel algorithms for lattice QCD." Thesis, University of Edinburgh, 1987. http://hdl.handle.net/1842/12886.

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23

Barresi, Andrea. "SO(3) Yang-Mills theory on the lattice." Doctoral thesis, [S.l.] : [s.n.], 2003. http://deposit.ddb.de/cgi-bin/dokserv?idn=968943675.

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24

Van, de Water Ruth S. "Applications of chiral perturbation theory to lattice QCD /." Thesis, Connect to this title online; UW restricted, 2005. http://hdl.handle.net/1773/9730.

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25

Bursa, Francis. "Phase transitions in SU(N) lattice gauge theory." Thesis, University of Oxford, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.437179.

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26

Hart, A. "Magnetic monopoles and confinement in lattice gauge theory." Thesis, University of Oxford, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.337718.

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27

Riddell, A. G. "Computer algorithms for Euclidean lattice gauge theory calculations." Thesis, University of Canterbury. Physics, 1988. http://hdl.handle.net/10092/8220.

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The computer algorithm devised by K. Decker [25] for the calculation of strong coupling expansions in Euclidean lattice gauge theory is reviewed. Various shortcomings of this algorithm are pointed out and an improved algorithm is developed. The new algorithm does away entirely with the need to store large amounts of information, and is designed in such a way that memory useage is essentially independant of the order to which the expansion is being calculated. A good deal of the redundancy and double handling present in the algorithm of ref. [25] is also eliminated. The algorithm has been used

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28

Böhm, Walter. "Lattice path counting and the theory of queues." Department of Statistics and Mathematics, WU Vienna University of Economics and Business, 2008. http://epub.wu.ac.at/1086/1/document.pdf.

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In this paper we will show how recent advances in the combinatorics of lattice paths can be applied to solve interesting and nontrivial problems in the theory of queues. The problems we discuss range from classical ones like M^a/M^b/1 systems to open tandem systems with and without global blocking and to queueing models that are related to random walks in a quarter plane like the Flatto-Hahn model or systems with preemptive priorities. (author´s abstract)<br>Series: Research Report Series / Department of Statistics and Mathematics

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29

Wagner, Alexander. "Theory and applications of the lattice Boltzmann method." Thesis, University of Oxford, 1997. http://ora.ox.ac.uk/objects/uuid:882b9026-22cd-4e77-95e5-aca62f93df11.

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30

Lamont, M. J. "Hamiltonian lattice gauge theory : A cluster expansion approach." Thesis, University of Liverpool, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.382063.

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31

Hesse, Dirk. "Automated lattice perturbation theory in the Schrödinger functional." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät I, 2012. http://dx.doi.org/10.18452/16642.

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Der Autor hat das pastor-Softwarepaket für automatisierte Gitterstörungstheorie im Schrödingerfunktional entwickelt. Das pastor-Paket besteht aus zwei Bausteinen, die die Erzeugung von Vertexfunktionen und Feynmandiagrammen übernehmen. Ausgehend von recht generischen Formulierungen der Gitterwirkungen für Fermionen und Gluonen, die dem Vertexgenerator in symbolischer Form übergeben werden, erzeugt dieser Feynmanregeln zu beliebiger Ordnung in der nackten Kopplung. Dabei kann sowohl ein triviales als auch ein Abelsches Hintergrundfeld verwendet werden. Die vom zweiten Teil von pa

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32

Luo, Li-Shi. "Lattice-gas automata and lattice Boltzmann equations for two-dimensional hydrodynamics." Diss., Georgia Institute of Technology, 1993. http://hdl.handle.net/1853/30259.

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33

Heeney, Xiang Xia Huang. "Small lattices." Thesis, University of Hawaii at Manoa, 2000. http://hdl.handle.net/10125/25936.

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This dissertation introduces triple gluing lattices and proves that a triple gluing lattice is small if the key subcomponents are small. Then attention is turned to triple gluing irreducible small lattices. The triple gluing irreducible [Special characters omitted.] lattices are introduced. The conditions which insure [Special characters omitted.] small are discovered. This dissertation also give some triple gluing irreducible small lattices by gluing [Special characters omitted.] 's. Finally, K-structured lattices are introduced. We prove that a K-structured lattice L is triple gluing irreduc

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34

McCallum, Paul. "Upsilon spectroscopy using lattice QCD." Thesis, University of Glasgow, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.363170.

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35

Coddington, P. D. "Deconfinement transitions in lattice gauge theories]." Thesis, University of Southampton, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.381129.

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36

Smith, Joseph Patrick. "Groups whose normalizers form a lattice." Diss., Online access via UMI:, 2006.

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37

Bystrik, Anna. "On Delocalization Effects in Multidimensional Lattices." Thesis, University of North Texas, 1998. https://digital.library.unt.edu/ark:/67531/metadc278868/.

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A cubic lattice with random parameters is reduced to a linear chain by the means of the projection technique. The continued fraction expansion (c.f.e.) approach is herein applied to the density of states. Coefficients of the c.f.e. are obtained numerically by the recursion procedure. Properties of the non-stationary second moments (correlations and dispersions) of their distribution are studied in a connection with the other evidences of transport in a one-dimensional Mori chain. The second moments and the spectral density are computed for the various degrees of disorder in the prototype latti

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38

Jipsen, Peter. "Varieties of lattices." Master's thesis, University of Cape Town, 1988. http://hdl.handle.net/11427/15851.

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Bibliography: pages 140-145.<br>An interesting problem in universal algebra is the connection between the internal structure of an algebra and the identities which it satisfies. The study of varieties of algebras provides some insight into this problem. Here we are concerned mainly with lattice varieties, about which a wealth of information has been obtained in the last twenty years. We begin with some preliminary results from universal algebra and lattice theory. The next chapter presents some properties of the lattice of all lattice sub-varieties. Here we also discuss the important notion of

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39

Meskine, Hakim. "Theory of lattice effects on magnetic interactions in solids." Diss., Columbia, Mo. : University of Missouri-Columbia, 2005. http://hdl.handle.net/10355/4121.

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Thesis (Ph. D.)--University of Missouri-Columbia, 2005.<br>The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file. Title from title screen of research.pdf file viewed on (November 13, 2006) Vita. Includes bibliographical references.

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40

Söldner, Wolfgang. "Chiral fermions in lattice QCD and random matrix theory." [S.l. : s.n.], 2004. http://deposit.ddb.de/cgi-bin/dokserv?idn=972268839.

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41

Monahan, Christopher John. "The application of automated perturbation theory to lattice QCD." Thesis, University of Cambridge, 2011. https://www.repository.cam.ac.uk/handle/1810/241041.

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Predictions of heavy quark parameters are an integral component of precision tests of the Standard Model of particle physics. Experimental measurements of electroweak processes involving heavy hadrons provide stringent tests of Cabibbo-Kobayashi-Maskawa (CKM) matrix unitarity and serve as a probe of new physics. Hadronic matrix elements parameterise the strong dynamics of these interactions and these matrix elements must be calculated nonperturbatively. Lattice quantum chromodynamics (QCD) provides the framework for nonperturbative calculations of QCD processes. Current lattices are too coarse

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42

Copeland, Timothy John. "Monoplies and confinement in U(1) lattice gauge theory." Thesis, University of Oxford, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.305986.

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43

Bougenaya, Yamina. "Fermion models on the lattice and in field theory." Thesis, Durham University, 1985. http://etheses.dur.ac.uk/7080/.

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The first part deals with lattice approach to field theories. The fermion doubling problems are described. This doubling can be removed if a dual lattice is introduced, as first pointed out by Stacey. His method is developed and in the process a formalism for the construction of a covariant difference lattice operator and thus of a gauge invariant action, is exhibited. It is shown how this formalism relates to the work of Wilson. Problems of gauge invariance can be traced back to the absence of the Leibnitz rule on the lattice. To circumvent this failure the usual notion of the product is repl

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44

Preece, Timothy Edward. "Cluster expansion approach to non-Abelian lattice gauge theory." Thesis, University of Liverpool, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.328162.

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45

Husung, Nikolai. "Logarithmic corrections in Symanzik’s effective theory of lattice QCD." Doctoral thesis, Humboldt-Universität zu Berlin, 2021. http://dx.doi.org/10.18452/22944.

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Einer der finalen Schritte in Simulationen von Gitter Quantenchromodynamik (QCD) oder Gittereichtheorie ist die Kontinuumsextrapolation, um die eigentliche Kontinuumsphysik zu extrahieren. Diese Extrapolation beruht stark auf Annahmen über die asymptotische Abhängigkeit vom Gitterabstand, was zu systematischen Unsicherheiten des Kontinuumslimes führt. In klassischen Feldtheorien ist die asymptotische Form schlicht eine Potenzreihe im Gitterabstand, wobei die führende Potenz von der gewählten Diskretisierung auf dem Gitter abhängt. Die Quantenkorrekturen in Gitter QCD und Gittereichtheorie brec

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46

Kusterer, Daniel-Jens. "Quark properties, topology and confinement from Lattice Gauge Theory." [S.l. : s.n.], 2004. http://www.bsz-bw.de/cgi-bin/xvms.cgi?SWB11514075.

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47

Schroeder, Christopher Robert. "Beyond the scalar Higgs, in lattice quantum field theory." Diss., [La Jolla] : University of California, San Diego, 2009. http://wwwlib.umi.com/cr/ucsd/fullcit?p3386720.

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Thesis (Ph. D.)--University of California, San Diego, 2009.<br>Title from first page of PDF file (viewed January 19, 2010). Available via ProQuest Digital Dissertations. Vita. Includes bibliographical references (p. 87-93).

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48

Arndt, Daniel. "Chiral perturbation theory on the lattice and its applications /." Thesis, Connect to this title online; UW restricted, 2004. http://hdl.handle.net/1773/9693.

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49

Wysong, Kimberly Ann. "Minimal embeddings of knots in the cubic lattice /." Abstract Full Text (PDF), 2008. http://eprints.ccsu.edu/archive/00000535/02/1984FT.pdf.

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Thesis (M.A.) -- Central Connecticut State University, 2008.<br>Thesis advisor: Nelson Castaneda. "... in partial fulfillment of the requirements for the degree of Master of Arts in Mathematical Sciences." Includes bibliographical references (leaves 98-99). Also available via the World Wide Web.

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50

Marcantonio, Laurence Mark. "Unquenched lattice upsilon spectroscopy." Thesis, University of Glasgow, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.341965.

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