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Dissertations / Theses on the topic 'Topological Quantum Field Theories'

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1

De, Renzi Marco. "Construction of extended topological quantum field theories." Thesis, Sorbonne Paris Cité, 2017. http://www.theses.fr/2017USPCC114/document.

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La position centrale occupée par les Théories Quantiques des Champs Topologiques (TQFTs) dans l’étude de la topologie en basse dimension est due à leur structure extraordinairement riche, qui permet différentes interactions et applications à des questions de nature géométrique. Depuis leur première apparition, un grand effort a été mis dans l’extension des invariants quantiques de 3-variétés en TQFTs et en TQFT Étendues (ETQFTs). Cette thèse s’attaque à ce problème dans deux cadres généraux différents. Le premier est l’étude des invariants quantiques semi-simples de Witten, Reshetikhin et Tura
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2

Wrazidlo, Dominik [Verfasser], and Markus [Akademischer Betreuer] Banagl. "Fold maps and positive topological quantum field theories / Dominik Wrazidlo ; Betreuer: Markus Banagl." Heidelberg : Universitätsbibliothek Heidelberg, 2017. http://d-nb.info/1178009157/34.

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3

Hesse, Jan [Verfasser], and Christoph [Akademischer Betreuer] Schweigert. "Group Actions on Bicategories and Topological Quantum Field Theories / Jan Hesse ; Betreuer: Christoph Schweigert." Hamburg : Staats- und Universitätsbibliothek Hamburg, 2017. http://d-nb.info/1137625104/34.

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4

Klos, Fabian [Verfasser], and Daniel [Akademischer Betreuer] Roggenkamp. "Embedding topological quantum field theories functorially in the UV / Fabian Klos ; Betreuer: Daniel Roggenkamp." Heidelberg : Universitätsbibliothek Heidelberg, 2021. http://nbn-resolving.de/urn:nbn:de:bsz:16-heidok-302659.

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5

Hesse, Jan Verfasser], and Christoph [Akademischer Betreuer] [Schweigert. "Group Actions on Bicategories and Topological Quantum Field Theories / Jan Hesse ; Betreuer: Christoph Schweigert." Hamburg : Staats- und Universitätsbibliothek Hamburg, 2017. http://d-nb.info/1137625104/34.

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6

Belliard, Raphaël. "Geometry of integrable systems : from topological Lax systems to conformal field theories." Thesis, Paris 6, 2017. http://www.theses.fr/2017PA066175/document.

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Cette thèse de doctorat traite d’un cadre en géométrie complexe et de méthodes pouvant y être développées pour résoudre des ensembles d’équations différentielles compatibles venant de systèmes intégrables, classiques ou quantiques, dans le contexte de la géométrie d’espaces de modules de connexions au-dessus de courbes complexes, ou surfaces de Riemann. Elle vient de l’idée en physique mathématique que les symétries des systèmes intégrables imposent aux objets d’intérêt (fonctions de partitions ou de corrélations) des contraintes algébro-différentielles nommées équations de boucles. Le but est
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7

Calvanese, Strinati Marcello. "Topological effects in one-dimensional quantum systems." Doctoral thesis, Scuola Normale Superiore, 2018. http://hdl.handle.net/11384/85903.

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8

Imaanpur, Ali. "Aspects of topological field theories." Title page, contents and abstract only, 1998. http://web4.library.adelaide.edu.au/theses/09PH/09phi31.pdf.

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9

Kerr, Steven. "Topological quantum field theory and quantum gravity." Thesis, University of Nottingham, 2014. http://eprints.nottingham.ac.uk/14094/.

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This thesis is broadly split into two parts. In the first part, simple state sum models for minimally coupled fermion and scalar fields are constructed on a 1-manifold. The models are independent of the triangulation and give the same result as the continuum partition functions evaluated using zeta-function regularisation. Some implications for more physical models are discussed. In the second part, the gauge gravity action is written using a particularly simple matrix technique. The coupling to scalar, fermion and Yang-Mills fields is reviewed, with some small additions. A sum over histories
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10

Lifschytz, Gilad. "Quantum gravity and topological field theory." Thesis, Massachusetts Institute of Technology, 1995. http://hdl.handle.net/1721.1/33529.

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11

Hausser, Frank. "Lattice quantum field theories with quantum symmetry." [S.l. : s.n.], 1998. http://darwin.inf.fu-berlin.de/1998/10/index.html.

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12

Schnakenburg, Igor. "Symmetries of supergravity theories and quantum field theories." Thesis, King's College London (University of London), 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.397449.

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13

Donaire, Manuel. "Formation of topological defects in gauge field theories." Thesis, University of Cambridge, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.613012.

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14

Magnifico, Giuseppe <1991&gt. "Quantum simulation and topological phases in Lattice Gauge Theories." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2020. http://amsdottorato.unibo.it/9254/1/tesi.pdf.

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Simulating quantum-mechanical systems is a very challenging issue due to the high computational costs. The main reason for this is related to the dimension of the Hilbert space that grows exponentially with the number of degrees of freedom, making an exact implementation impossible even for the most powerful today’s supercomputers. On this ground it appears clear the need of a new simulation method, i.e. quantum simulation. The general idea is very simple: using a controllable quantum system, called quantum simulator, to emulate and to analyze another quantum system that usually results less
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15

Große, Johannes. "Quantum field theories coupled to supergravity." Diss., lmu, 2006. http://nbn-resolving.de/urn:nbn:de:bvb:19-67614.

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16

Wiegandt, Konstantin. "Superconformal quantum field theories in string." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät I, 2012. http://dx.doi.org/10.18452/16605.

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In dieser Dissertation werden Aspekte von superkonformen Quantenfeldtheorien untersucht, die für die sogenannte AdS/CFT Korrespondenz relevant sind. Die AdS/CFT Korrespondenz beschreibt eine Dualität zwischen Stringtheorien im Anti-de Sitter Raum und superkonformen Quantenfeldtheorien im Minkowskiraum. In diesem Kontext wurde die sog. Wilsonschleifen / Amplituden Dualität entdeckt, die die Übereinstimmung von n-Gluon MHV Amplituden und n-seitigen polygonalen Wilsonschleifen in der N=4 supersymmetrischen Yang-Mills (SYM) Theorie beschreibt. Im ersten Teil dieser Dissertation wird die Wilsonsch
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17

Gill, Alasdair James. "Field theory and topological defects." Thesis, Imperial College London, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.244675.

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18

Starodubtsev, Artem. "Topological methods in quantum gravity." Thesis, University of Waterloo, 2005. http://hdl.handle.net/10012/1217.

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The main technical problem with background independent approaches to quantum gravity is inapplicability of standard quantum field theory methods. New methods are needed which would be adapted to the basic principles of General Relativity. Topological field theory is a model which provides natural tools for background independent quantum gravity. It is exactly soluble and, at the same time, diffeomorphism invariant. Applications of topological field theory to quantum gravity include description of boundary states of quantum General Relativity, formulation of quantum gravity as a
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19

Lue, Arthur. "Topological structure in classical and quantum SU(2)-Higgs theories." Thesis, Massachusetts Institute of Technology, 1997. http://hdl.handle.net/1721.1/10373.

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20

Archer, Francis John. "A simplicial approach to topological quantum field theory." Thesis, University of Cambridge, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.260593.

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21

Hughes, Timothy. "Validation of the quantum chemical topological force field." Thesis, University of Manchester, 2015. https://www.research.manchester.ac.uk/portal/en/theses/validation-of-the-quantum-chemical-topological-force-field(fa1be47d-d4b9-45e4-a84d-4d12bd9816e4).html.

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Until such a time that computers are powerful enough to routinely perform ab initio simulation of large biomolecules, there will remain a demand for less expensive computational tools. Classical force field methods are widely used for the simulation of large molecules. However, their low computational cost comes at the price of introducing approximations to the description of the system, for example atomic point charges and Hooke type potentials. The quantum chemical topological force field, QCTFF, removes the classical approximations and uses a machine learning method, kriging, to build model
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22

Söderberg, Alexander. "Renormalization in Field Theories." Thesis, Uppsala universitet, Teoretisk fysik, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-251561.

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Several different approaches to renormalization are studied. The Callan-Symanzik equation is derived and we study its beta functions. An effective potential for the Coleman-Weinberg model is studied to find that the beta function is positive and that spontaneous symmetry breaking will occur if we expand around the classical field. Lastly we renormalize a non-abelian gaugetheory to find that the beta function in QCD is negative.
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23

McDonald, Reuben. "Hamiltonian treatments of lattice quantum field theories." Thesis, University of Manchester, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.570530.

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24

Schritt, Dimitri. "Symmetries in quantum and classical field theories." Thesis, University of Canterbury. Physics and Astronomy, 2013. http://hdl.handle.net/10092/8032.

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The initial chapter of the thesis provides a review of Weinberg’s formalism for the derivation of quantum fields. The formalism is extended to allow for the derivation of quantum fields with more than one spin degree of freedom. It is conjectured that it may be possible to construct massive bosonic quantum field theories of any desired spin j that are consistent and unitary at all energies without the need for regulator terms by including j + 1 spin degrees of freedom: j, j - 1, down to j - j. The concept is then demonstrated in two subsequent chapters by the derivation of a quantum field with
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25

Hartley, David. "Supersymmetric quantum field theories from induced representations." Thesis, University of St Andrews, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.329888.

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26

Klaczynski, Lutz. "Haag's theorem in renormalisable quantum field theories." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät, 2016. http://dx.doi.org/10.18452/17448.

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Wir betrachten eine Reihe von Trivialitäts- resultaten und No-Go-Theoremen aus der Axiomatischen Quantenfeldtheorie. Von besonderem Interesse ist Haags Theorem. Im Wesentlichen sagt es aus, dass der unitäre Intertwiner des Wechselwirkungsbildes nicht existiert oder trivial ist. Als wichtigste Voraussetzung von Haags Theorem arbeiten wir die unitäre Äquivalenz heraus und unterziehen die kanonische Störungstheorie skalarer Felder einer Kritik um zu argumentieren, dass die kanonisch renormierte Quantenfeldtheorie Haags Theorem umgeht, da sie genau diese Bedingung nicht erfüllt. Der Hopfal
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27

Stenberg, Jacob. "Diagrammatic Representations in Quantum Theories." Thesis, Uppsala universitet, Teoretisk fysik, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-201668.

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Starting from a mathematical basis where one analyses and developing different techniques in how to solve and represent different kinds of integrals with diagrams. Representing the integrals as n-valent vertices and introducing propagators is a great tool that helps with the book-keeping of the solutions and will sometimes do the calculations redundant. The symmetries of diagrams are analysed and how one extracts the symmetry factors from looking at a diagram by using some fairly simple combinatorics and cleverness. Introducing the probability amplitude and do some analysis of the path integra
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28

Lauda, Aaron Dean. "Open-closed topological quantum field theory and tangle homology." Thesis, University of Cambridge, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.614322.

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29

Martini, Riccardo. "Tensorial group field theories." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2015. http://amslaurea.unibo.it/8941/.

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In questa tesi il Gruppo di Rinormalizzazione non-perturbativo (FRG) viene applicato ad una particolare classe di modelli rilevanti in Gravit`a quantistica, conosciuti come Tensorial Group Field Theories (TGFT). Le TGFT sono teorie di campo quantistiche definite sulla variet`a di un gruppo G. In ogni dimensione esse possono essere espanse in grafici di Feynman duali a com- plessi simpliciali casuali e sono caratterizzate da interazioni che implementano una non-localit`a combinatoriale. Le TGFT aspirano a generare uno spaziotempo in un contesto background independent e precisamente ad o
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30

Ashworth, Richard Michael. "Quantum field theories having conformal and chiral symmetry." Thesis, University of Cambridge, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.292952.

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31

Poole, C. W. "Gradient-flow equations for general Quantum Field Theories." Thesis, University of Liverpool, 2018. http://livrepository.liverpool.ac.uk/3015643/.

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32

Zhang, Ou. "Effective field theories for quantum chromo- and electrodynamics." Thesis, The University of Arizona, 2016. http://pqdtopen.proquest.com/#viewpdf?dispub=10247445.

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<p> Effective field theories (EFTs) provide frameworks to systematically improve perturbation expansions in quantum field theory. This improvement is essential in quantum chromodynamics (QCD) predictions, both at low energy in the description of low momentum hadron-hadron scattering and at high energy in the description of electron-positron, proton-proton, proton-electron collisions. It is also important in quantum electrodynamics (QED), when electrons interact with a high-intensity, long-wavelength classical field. I introduce the principles and methods of effective field theory and describe
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33

Zhang, Ou, and Ou Zhang. "Effective Field Theories for Quantum Chromo- and Electrodynamics." Diss., The University of Arizona, 2016. http://hdl.handle.net/10150/621825.

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Effective field theories (EFTs) provide frameworks to systematically improve perturbation expansions in quantum field theory. This improvement is essential in quantum chromodynamics (QCD) predictions, both at low energy in the description of low momentum hadron-hadron scattering and at high energy in the description of electron-positron, proton-proton, proton-electron collisions. It is also important in quantum electrodynamics (QED), when electrons interact with a high-intensity, long-wavelength classical field. I introduce the principles and methods of effective field theory and describe my w
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34

Roy, Alan A. "Aspects of renormalisation in some quantum field theories." Thesis, Rhodes University, 1998. http://hdl.handle.net/10962/d1005214.

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Renormalisation is an important aspect of Quantum Field Theory. It is used to create physically meaningful theories and some major developments took place in the 1970's and onwards. We consider Renormalisation in its application to the theories of ψ⁴ , Quantum Electrodynamics, Quantum Chromodynamics and the Background Field Method. Feynman diagrams are used to illustrate many of the concepts.
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35

Schiappa, Ricardo. "Aspects of Riemannian geometry in quantum field theories." Thesis, Massachusetts Institute of Technology, 1999. http://hdl.handle.net/1721.1/85337.

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36

Rubiera, García Diego. "Relativistic lagrangian non-linear field theories supporting non-topological soliton solutions." Doctoral thesis, Universidad de Oviedo, 2008. http://hdl.handle.net/10803/11131.

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En el contexto de la teoría de campos el interés en soluciones extendidas describiendo campos asociados a partículas puntuales data de los años 30, con los intentos de Born e Infeld para construir una electrodinámica no-lineal cuyas soluciones electrostáticas a simetría esférica eliminaran la divergencia de la autoenergía del electrón en Electrodinámica Clásica.En esta tesis realizamos un amplio estudio de una extensa clase de teorías relativistas de campos que contienen soluciones de tipo solitón no-topológico en tres dimensiones espaciales. Específicamente estudiamos campos (multi) escalares
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37

Stern, Walker H. [Verfasser]. "Open Topological Field Theories and 2-Segal Objects / Walker H. Stern." Bonn : Universitäts- und Landesbibliothek Bonn, 2019. http://d-nb.info/1198933585/34.

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38

Roberts, Justin Deritter. "Quantum invariants via skein theory." Thesis, University of Cambridge, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.319336.

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39

Källén, Johan. "Twisting and Gluing : On Topological Field Theories, Sigma Models and Vertex Algebras." Doctoral thesis, Uppsala universitet, Teoretisk fysik, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-173225.

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This thesis consists of two parts, which can be read separately. In the first part we study aspects of topological field theories. We show how to topologically twist three-dimensional N=2 supersymmetric Chern-Simons theory using a contact structure on the underlying manifold. This gives us a formulation of Chern-Simons theory together with a set of auxiliary fields and an odd symmetry. For Seifert manifolds, we show how to use this odd symmetry to localize the path integral of Chern-Simons theory. The formulation of three-dimensional Chern-Simons theory using a contact structure admits natural
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40

Novak, Sebastian [Verfasser], and Ingo [Akademischer Betreuer] Runkel. "Lattice topological field theories in two dimensions / Sebastian Novak. Betreuer: Ingo Runkel." Hamburg : Staats- und Universitätsbibliothek Hamburg, 2015. http://d-nb.info/107686662X/34.

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41

Petrov, Dmitri. "Novel approaches to numerical solutions of quantum field theories /." View online version; access limited to Brown University users, 2005. http://wwwlib.umi.com/dissertations/fullcit/3174659.

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42

Omid, Hamid. "2+1d quantum field theories in large N limit." Thesis, University of British Columbia, 2016. http://hdl.handle.net/2429/60336.

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In Chapter 1, we present a brief introduction to the tight-binding model of graphene and show that in the low-energy continuum limit, it can be modeled by reduced QED₂₊₁ . We then review renormalization group technique which is used in the next chapters. In Chapter 2, we consider a quantum field theory in 3+1d with the defect of a large number of fermion flavors, N. We study the next-to-leading order contributions to the fermions current-current correlation function by performing a large N expansion. We find that the next-to-leading order contributions 1/N to the current-current correlation f
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43

McAvity, David Marks. "The heat kernel for quantum field theories with boundary." Thesis, University of Cambridge, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.260537.

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44

Perantonis, S. J. "Model calculations in quantum chromodynamics and other field theories." Thesis, University of Oxford, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.379929.

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45

Silk, James Brian. "Evaluation of correlation functions in integrable quantum field theories." Thesis, Durham University, 2012. http://etheses.dur.ac.uk/4447/.

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The aim of this thesis is to explore correlation functions in two dimensional quantum field theories in two distinct ways. In part I a new method for calculating the differential equations parametrising the correlation functions of twist fields associated with the U (1) symmetry of the Dirac model is presented. While developing this method a new family of descendent twist fields are identified and their form factors calculated. This provides a novel way of calculating the vacuum expectation values of the primary twist fields and is shown to be entirely consistent with known results. The method
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46

Simms, R. "Exploring higher dimensional quantum field theories through fixed points." Thesis, University of Liverpool, 2018. http://livrepository.liverpool.ac.uk/3028491/.

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Renormalization was popularised in the 1940s following the appearance of non- sensical infinities in the calculation of the self-energy of the electron. Notably this led to Quantum Electrodynamics becoming a fully renormalizable quantum field theory. One useful tool that emerges from the technical aspects of renormal- ization is the Renormalization Group. In particular, the β-function defines the variation of the coupling constants with energy. The vanishing of the β-function at a particular value of the coupling is known as a fixed point, the location of which can be found using perturbation
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47

Wang, Yifan Ph D. Massachusetts Institute of Technology. "Lessons on interacting quantum field theories from string theory." Thesis, Massachusetts Institute of Technology, 2016. http://hdl.handle.net/1721.1/106452.

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Thesis: Ph. D., Massachusetts Institute of Technology, Department of Physics, 2016.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (pages 185-194).<br>In this thesis, we use string theory constructions and dualities to explore various features of interacting quantum field theories. We begin with an overview in Chapter 1, of past and recent developments in quantum field theories, explaining the advantages of string theoretic techniques over traditional approaches in answering a range of questions about interacting dynamics. In Chapter 2 we study the holographic
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48

Nolland, David John. "Quantum field theories with fermions in the Schrödinger representation." Thesis, Durham University, 2000. http://etheses.dur.ac.uk/4410/.

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This thesis is concerned with the Schrödinger representation of quantum field theory. We describe techniques for solving the Schrödinger equation which supplement the standard techniques of field theory. Our aim is to develop these to the point where they can readily be used to address problems of current interest. To this end, we study realistic models such as gauge theories coupled to dynamical fermions. For maximal generality we consider particles of all physical spins, in various dimensions, and eventually, curved spacetimes. We begin by considering Gaussian fields, and proceed to a detail
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49

Ehrhardt, Mathieu. "Indices for supersymmetric quantum field theories in four dimensions." Thesis, University of Cambridge, 2012. https://www.repository.cam.ac.uk/handle/1810/274322.

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In this thesis, we investigate four dimensional supersymmetric indices. The motivation for studying such objects lies in the physics of Seiberg's electric-magnetic duality in supersymmetric field theories. In the first chapter, we first define the index and underline its cohomological nature, before giving a first computation based on representation theory of free superconformal field theories. After listing all representations of the superconformal algebra based on shortening conditions, we compute the associated Verma module characters, from which we can extract the index in the appropriate
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50

Kawai, Daisuke. "The study on quantum field theories from numerical approaches." Kyoto University, 2018. http://hdl.handle.net/2433/232236.

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