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Dissertations / Theses on the topic 'Fermi's theory'

Author: Grafiati

Published: 28 May 2022

Last updated: 31 July 2025

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1

Фільштінський, Вадим Аншелєвич, Вадим Аншелевич Фильштинский та Vadym Anshelievych Filshtinskyi. "Об одной версии теоретико-числовой теоремы Ферма". Thesis, Издательство СумГУ, 2006. http://essuir.sumdu.edu.ua/handle/123456789/22413.

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2

Trad, Mohamad. "The proof of Fermat's last theorem." CSUSB ScholarWorks, 2000. https://scholarworks.lib.csusb.edu/etd-project/1690.

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3

Akyar, Ozge. "Density Functional Theory For Trapped Ultracold Fermions." Master's thesis, METU, 2009. http://etd.lib.metu.edu.tr/upload/12610948/index.pdf.

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Recently a new outlook on dealing with dipolar ultracold fermions based on density functional methods has received attention. A Thomas-Fermi treatment coupled with a variational approach has been developed for a collection of fermions trapped in a harmonic potential interacting via dipole-dipole forces. In this thesis, firstly our alternative formalism for Thomas-Fermi method by performing some calculations based on the Kohn-Sham formalism which is one of the main idea of density functional theory is investigated. Furthermore, density distributions are obtained dependent to the parameters<br>r

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4

Lucena, Gomez Gustavo. "Aspects of higher-spin theory with fermions." Doctoral thesis, Universite Libre de Bruxelles, 2014. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/209320.

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The present thesis is divided into three parts. In Part I we address a problem within Higher-Spin Gauge Theory in dimension three: namely, that of computing the asymptotic symmetry algebra of supersymmetric models, describing an infinite spectrum of integer and half-integer higher-spin fields. In Part II we investigate higher-spin theories in dimension four or greater, where we classify the consistent cross interactions between free gauge fermions of arbitrary spin and a photon or a graviton. A third part supplements the bulk of the manuscript with technical appendices. <p><p>Part I is concern

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5

Zhao, Yuxin, and 趙宇心. "Topological theory of gapless and gapped fermionic systems." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2014. http://hdl.handle.net/10722/206330.

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Recently the discoveries of graphene, Weyl semi-metal and Dirac semi-metal are drawing more and more people’s attentions back to the topological characteristics of Fermi surfaces, which may be tracked back to the pair of Weyl points observed experimentally in the phase A of Helium three in 80s in the last century. Based on the pioneer works by Volovik and Hořava, we classify all kinds of Fermi surfaces with respect to anti-unitary symmetries and codimensions of Fermi surfaces. The first chapter of this thesis is attributed to develop symmetry-dependent topological invariants to characterize to

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6

Latimer, David C. "Mathematical aspects of fermions in quantum field theory." Thesis, University of Oxford, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.249482.

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7

Kizilersü, Ayşe. "Gauge theory constraints on the fermion-boson vertex." Thesis, Durham University, 1995. http://etheses.dur.ac.uk/4886/.

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In this thesis we investigate the role played by fundamental properties of QED in determining the non-perturbative fermion-boson vertex. These key features are gauge invariance and multiplicative renormalisability. We use the Schwinger-Dyson equations as the non- perturbative tool to study the general structure of the fermion-boson vertex in QED. These equations, being an infinite set, have to be truncated if they are to be solved. Such a truncation is made possible by choosing a suitable non-perturbative ansatz for the fermion-boson vertex. This choice must satisfy these key properties of gau

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8

Ahmad, Syed Alwi B. "Fermion Quantum Field Theory In Black-hole Spacetimes." Diss., Virginia Tech, 1997. http://hdl.handle.net/10919/30491.

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The need to construct a fermion quantum field theory in black-hole spacetimes is an acute one. The study of gravitational collapse necessitates the need of such. In this dissertation, we construct the theory of free fermions living on the static Schwarzschild black-hole and the rotating Kerr black-hole. The construction capitalises upon the fact that both black-holes are stationary axisymmetric solutions to Einstein's equation. A factorisability ansatz is developed whereby simple quantum modes can be found, for such stationary spacetimes with azimuthal symmetry. These modes are then

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9

Heath, Joshuah. "Novel metallic behavior in topologically non-trivial, quantum critical, and low-dimensional matter:." Thesis, Boston College, 2021. http://hdl.handle.net/2345/bc-ir:109180.

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Thesis advisor: Kevin S. Bedell<br>We present several results based upon non-trivial extensions of Landau-Fermi liquid theory. First proposed in the mid-20th century, the Fermi liquid approach assumes an adiabatic “switching-on” of the interaction, which allows one to describe the collective excitations of the many-body system in terms of weakly-interacting quasiparticles and quasiholes. At its core, Landau-Fermi liquid theory is often considered a perturbative approach to study the equilibrium thermodynamics and out-of-equilibrium response of weakly-correlated itinerant fermions, and therefor

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10

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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11

Zanotti, James Michael. "Baryon spectroscopy with FLIC fermions." Title page, abstract and table of contents only, 2002. http://web4.library.adelaide.edu.au/theses/09PH/09phz33.pdf.

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"October 2002" Bibliography: p. 129-136. 1. Introduction -- 2. QCD and the standard model -- 3. The Lattice -- 4. Symanzik improvement in the Static Quark Potential -- 5. Scale determination for an improved Gluon Action -- 6. Fat-link Irrelevant Clover Fermion actions -- 7. Excited Baryons in Lattice QCD -- 8. Spin 3/2 Baryons -- 9. Conclusion. This thesis reports work done in conducting numerical simulations of Lattice QCD.

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12

Gochan, Matthew. "Fermi Liquid Properties of Dirac Materials:." Thesis, Boston College, 2020. http://hdl.handle.net/2345/bc-ir:108726.

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Thesis advisor: Kevin S. Bedell<br>One of the many achievements of renowned physicist L.D. Landau was the formulation of Fermi Liquid Theory (FLT). Originally debuted in the 1950s, FLT has seen abundant success in understanding degenerate Fermi systems and is still used today when trying to understand the physics of a new interacting Fermi system. Of its many advantages, FLT excels in explaining why interacting Fermi systems behave like their non-interacting counterparts, and understanding transport phenomena without cumbersome and confusing mathematics. In this work, FLT is applied to systems

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13

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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14

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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15

Evans, Sarah Margaret Mary. "The theory of mixed valent and Kondo systems." Thesis, University of Oxford, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.236121.

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16

Yang, Kang. "Geometric Aspects in the Hamiltonian Theory of the Fractional Quantum Hall Effect." Thesis, Sorbonne université, 2019. http://www.theses.fr/2019SORUS425.

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Les propriétés topologiques des systèmes quantiques de Hall ont bien été étudiées au cours des trente dernières années. En contraste, les aspects géométriques des systèmes quantiques de Hall sont loin d’être pleinement compris. Dans cette thèse, je vais étudier les aspects géométriques de la vue de la théorie Hamiltonienne de fermions composites et tester la réponse de les états quantiques de Hall sous perturbation anisotrope. Je trouve dans le présence d'anisotropie, les fermions composites reçoivent des effets de mélange entre les différents niveaux de Landau de fermions composites. Une métr

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17

Geist, Wolfgang. "Kinetic theory of evaporative cooling of trapped atomic gases." Diss., Georgia Institute of Technology, 2000. http://hdl.handle.net/1853/29394.

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18

Sigdel, Dibakar. "Two Dimensional Lattice Gauge Theory with and without Fermion Content." FIU Digital Commons, 2016. http://digitalcommons.fiu.edu/etd/3224.

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Quantum Chromo Dynamics (QCD) is a relativistic field theory of a non-abelian gauge field coupled to several flavors of fermions. Two dimensional (one space and one time) QCD serves as an interesting toy model that shares several features with the four dimensional physically relevant theory. The main aim of the research is to study two dimensional QCD using the lattice regularization. Two dimensional QCD without any fermion content is solved analytically using lattice regularization. Explicit expressions for the expectation values of Wilson loops and the correlation of two Polyakov loops orien

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19

Bruni, Carmen Anthony. "Twisted extensions of Fermat's Last Theorem." Thesis, University of British Columbia, 2015. http://hdl.handle.net/2429/52912.

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Let x, y, z, n, α ∈ ℤ with α ≥ 1, p and n ≥ 5 primes. In 2011, Michael Bennett, Florian Luca and Jamie Mulholland showed that the equation involving a twisted sum of cubes [equation omitted] has no pairwise coprime nonzero integer solutions p ≥ 5,n ≥ p²p and p ∉ S where S is the set of primes q for which there exists an elliptic curve of conductor NE ∈ {18q,36q,72q} with at least one nontrivial rational 2-torsion point. In this dissertation, I present a solution that extends the result to include a subset of the primes in S; those q ∈ S for which all curves with conductor NE ∈ {18q,36q,72q} wi

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20

Wulff, Linus. "Strings, boundary fermions and coincident D-branes." Doctoral thesis, Stockholm : Department of Physics, Stockholm University, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-6576.

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21

Szabo, Richard Joseph. "Fermion fractionization and boundary effects in (1 + 1) dimensions." Thesis, University of British Columbia, 1991. http://hdl.handle.net/2429/30381.

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Fermion number fractionization in quantum field theory on a finite interval is studied for a (1 + 1) dimensional fermion-soliton system with explicit charge conjugation symmetry breaking. The effects of boundary conditions on the fractional fermion number and the connection with the corresponding open space problem are investigated. It is argued that the open space fractional charges can be correctly reproduced from the finite interval results only through a careful definition of what is meant by the soliton charge. This definition of the charge distinguishes between the fermionic and boundary

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22

Shcheredin, Stanislav. "Simulations of lattice fermions with chiral symmetry in quantum chromodynamics." Doctoral thesis, [S.l.] : [s.n.], 2004. http://deposit.ddb.de/cgi-bin/dokserv?idn=97410907X.

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23

Gelfand, Daniil [Verfasser], and Jürgen [Akademischer Betreuer] Berges. "Lattice theory of nonequilibrium fermion production / Daniil Gelfand ; Betreuer: Jürgen Berges." Heidelberg : Universitätsbibliothek Heidelberg, 2014. http://d-nb.info/1180032012/34.

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24

de, Coster George. "Effective Soft-Mode Theory of Strongly Interacting Fermions in Dirac Semimetals." Thesis, University of Oregon, 2019. http://hdl.handle.net/1794/24235.

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We present an effective field theory for interacting electrons in clean semimetals (both three dimensional Dirac semimetals and graphene) in terms of their soft or massless bosonic degrees of freedom. We show, by means of a Ward identity, that the intrinsic semimetal ground state breaks the Sp(4M) symmetry of the theory. In Fermi liquids this enables one to identify the massive, non-Goldstone modes of the theory and integrate them out. Due to the vanishing density of states in semimetals, unlike in Fermi liquids, both Goldstone and non-Goldstone modes are equally soft, and so all two-particle

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25

de, Woul Jonas. "Fermions in two dimensions and exactly solvable models." Doctoral thesis, KTH, Matematisk fysik, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-50471.

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This Ph.D. thesis in mathematical physics concerns systems of interacting fermions with strong correlations. For these systems the physical properties can only be described in terms of the collective behavior of the fermions. Moreover, they are often characterized by a close competition between fermion localization versus delocalization, which can result in complex and exotic physical phenomena. Strongly correlated fermion systems are usually modelled by many-body Hamiltonians for which the kinetic- and interaction energy have the same order of magnitude. This makes them challenging to study a

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26

Clark, John. "On a conjecture involving Fermat's Little Theorem." [Tampa, Fla] : University of South Florida, 2008. http://purl.fcla.edu/usf/dc/et/SFE0002485.

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27

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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28

Kubo, Naotaka. "Brane dynamics in Fermi gas formalism." Doctoral thesis, Kyoto University, 2021. http://hdl.handle.net/2433/263458.

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29

Jujo, Takanobu. "Fermi Liquid Theory on Response Properties in the Superconducting State." 京都大学 (Kyoto University), 2002. http://hdl.handle.net/2433/149958.

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30

Moosavi, Per. "An Exactly Solvable Gauge Theory Model for Correlated Fermions in 3+1 Dimensions." Thesis, KTH, Teoretisk fysik, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-145032.

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31

Björnson, Kristofer. "Topological band theory and Majorana fermions : With focus on self-consistent lattice models." Doctoral thesis, Uppsala universitet, Materialteori, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-305212.

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One of the most central concepts in condensed matter physics is the electronic band structure. Although band theory was established more than 80 years ago, recent developments have led to new insights that are formulated in the framework of topological band theory. In this thesis a subset of topological band theory is presented, with particular focus on topological supercon- ductors and accompanying Majorana fermions. While simple models are used to introduce basic concepts, a physically more realistic model is also studied intensely in the papers. Through self- consistent tight-binding calcul

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32

Bright-Thomas, Paul Gareth. "A measurement of the forward-backward asymmetry of Z#->##mu#'+#mu#'- and a search for an additional neutral vector gauge boson using electroweak observables at OPAL." Thesis, Brunel University, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.262512.

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33

Lang, Gladys Hau-Wan Goddard William A. Koonin Steven E. "Auxiliary-field Monte Carlo methods for interacting fermions application to the nuclear shell model /." Diss., Pasadena, Calif. : California Institute of Technology, 1993. http://resolver.caltech.edu/CaltechTHESIS:10222009-160215418.

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Thesis (Ph. D.)--California Institute of Technology, 1993. UM #93-25,365.<br>Advisor names found in the Acknowledgments pages of the thesis. Title from home page. Viewed 01/22/2010. Includes bibliographical references.

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34

Caux, Jean-Sebastien. "Multifractality for disordered fermions : from a logarithmic conformal field theory to an exact solution." Thesis, University of Oxford, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.244534.

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35

Zou, Peng. "Mean-field theory for the dynamics of superfluid fermions in the BCS-BEC crossover." Doctoral thesis, Università degli studi di Trento, 2014. https://hdl.handle.net/11572/368592.

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We use mean-field theory to investigate the dynamics of superfluid fermions. This thesis includes our two works. The first one is to study Josephson oscillations and self-trapping of superï¬‚uid fermions in a double-well potential with time-dependent Bogoliubov-de Gennes equations. We investigate the behaviour of a two-component Fermi superï¬‚uid. We numerically solve the time-dependent Bogoliubov-de Gennes equations and characterize the regimes of Josephson oscillations and self-trapping for diï¬€erent potential barriers and initial conditions. In the weak link limit the results agree with a

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36

Zou, Peng. "Mean-field theory for the dynamics of superfluid fermions in the BCS-BEC crossover." Doctoral thesis, University of Trento, 2014. http://eprints-phd.biblio.unitn.it/1262/1/thesis_peng.pdf.

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We use mean-field theory to investigate the dynamics of superfluid fermions. This thesis includes our two works. The first one is to study Josephson oscillations and self-trapping of superﬂuid fermions in a double-well potential with time-dependent Bogoliubov-de Gennes equations. We investigate the behaviour of a two-component Fermi superﬂuid. We numerically solve the time-dependent Bogoliubov-de Gennes equations and characterize the regimes of Josephson oscillations and self-trapping for diﬀerent potential barriers and initial conditions. In the weak link limit the results agree with a two-

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37

Suchet, Daniel Léo. "Simulating the dynamics of harmonically trapped Weyl particles with cold atoms Simultaneous sub-Doppler laser cooling of fermionic 6Li and 40K on the D1 line : Theory and experiment Analog simulation of Weyl particles with cold atoms." Thesis, Paris 6, 2016. http://www.theses.fr/2016PA066262.

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Au cours de ma thèse, j'ai travaillé à la construction de l'expérience Fermix, consacrée à l'étude d'un mélange de fermions (6Li-40K) à très basses températures où les effets quantiques sont prédominants. Nous présentons ici deux résultats principaux. Premièrement, nous avons développé une nouvelle méthode de refroidissement sub-Doppler qui tire parti de l'existence d'états noirs dans la raie optique D1. Cette mélasse grise permet d'atteindre une densité de l'espace des phases de 10⁻⁴, la valeur la plus élevée rapportée dans la littérature pour le refroidissement laser simultané des deux espèc

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38

Khamseh, Ava. "Lattice phenomenology of heavy quarks using dynamical fermions." Thesis, University of Edinburgh, 2017. http://hdl.handle.net/1842/28855.

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The Standard Model of particle physics is believed to be only the low energy limit of a more fundamental theory. In order to determine its range of validity, a major part of theoretical and experimental efforts in physics is dedicated to precision tests of the Standard Model. Lattice QCD is a non-perturbative, first-principles approach to Quantum Field Theory. It plays an important role in flavor physics by providing calculations of non-perturbative strong interaction contributions to weak processes involving quarks. Measurements of hadronic quantities can be used to constrain the Standard Mod

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39

Chiarappa, Thomas. "Chiral fermions on the lattice." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät I, 2004. http://dx.doi.org/10.18452/15171.

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Das Ziel dieser Doktorarbeit ist die Berechnung, aus ersten Prinzipien, von Niedrigenenergiekonstanten (NEK), welche die chirale Störungsheorie (ChST) parametrisieren, durch Simulationen auf dem Gitter. Diese Arbeit ist eine Pilotstudie und will deshalb nicht zu definitiven und präzisen quantitativen Vorhersagen führen, sondern wir möchten qualitative Leitlinien für zukünftige genauere Erforschungen der epsilon-Entwicklung der ChST geben. Letztere ist ein Gebiet in dem die chirale Symmetrie wiederhergestellt ist und wo die Compton-Wellenlänge der leichtesten Mesonen grösser als die lineare Dim

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Alkauskas, Giedrius. "Several problems from number theory." Doctoral thesis, Lithuanian Academic Libraries Network (LABT), 2009. http://vddb.library.lt/obj/LT-eLABa-0001:E.02~2009~D_20091008_155751-23469.

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Doctoral thesis is devoted to investigation of three problems. The first one deals with the analytic properties and representation in closed or almost closed form of the Stieltjes tranform of the Minkowski question mark function (that is, the generating function of moments, the so called dyadic period function). The main result claims that the dyadic period function can be represented as a convergent series of rational functions with rational coefficients. In the proof the techniques from complex dynamics, analytic theory of continued fractions, the theory of several complex variables are bein

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Chan, Ching Kit. "Fermi liquid behaviour and mean field theories of high Tc superconductors /." View abstract or full-text, 2007. http://library.ust.hk/cgi/db/thesis.pl?PHYS%202007%20CHAN.

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McCarthy, Shane A. "Topics in nonlinear self-dual supersymmetric theories /." Connect to this title, 2005. http://theses.library.uwa.edu.au/adt-WU2006.0045.

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Bennett, Edmund. "Exotic order in magnetic systems from Majorana fermions." Thesis, University of St Andrews, 2016. http://hdl.handle.net/10023/9437.

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This thesis explores the theoretical representation of localised electrons in magnetic systems, using Majorana fermions. A motivation is provided for the Majorana fermion representation, which is then developed and applied as a mean-field theory and in the path-integral formalism to the Ising model in transversal-field (TFIM) in one, two and three dimensions, on an orthonormal lattice. In one dimension the development of domain walls precludes long-range order in discrete systems; this is as free energy savings due to entropy outweigh the energetic cost of a domain wall. An argument due to Pei

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44

Read, Nicholas. "Low temperature properties of models for mixed-valence compounds." Thesis, Imperial College London, 1986. http://hdl.handle.net/10044/1/38140.

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Wort, Philip M. (Philip Michael) Carleton University Dissertation Physics. "Two Fermion bound state equation using light front Tamm-Dancoff field theory in 3+1 dimensions." Ottawa, 1992.

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46

Wu, Jackson M. S. "Improvement of Wilson fermions and twisted mass lattice QCD /." Thesis, Connect to this title online; UW restricted, 2005. http://hdl.handle.net/1773/9706.

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Flachi, Antonino. "Quantum field theory on brane backgrounds." Thesis, University of Newcastle Upon Tyne, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.366586.

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48

Männel, Michael. "Condensation phenomena in interacting Fermi and Bose gases." Doctoral thesis, Universitätsbibliothek Chemnitz, 2011. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-77738.

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In dieser Dissertation werden das Anregungsspektrum und das Phasendiagramm wechselwirkender Fermi- und Bosegase untersucht. Zu diesem Zweck wird eine neuartige renormierte Kadanoff-Martin-Näherung vorgestellt, die Selbstwechselwirkung von Teilchen vermeidet und somit eine einheitliche Beschreibung sowohl der normalen als auch der kondensierten Phase ermöglicht. Für Fermionen findet man den BCS-Zustand, benannt nach Bardeen, Cooper und Schrieffer, welcher entscheidend ist für das Phänomen der Supraleitung. Charakteristisch für diesen Zustand ist eine Energielücke im Anregungsspektrum an der Fer

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Beanland, Joanne. "Theory of intrinsic and extrinsic tunnelling in cuprates." Thesis, Loughborough University, 2010. https://dspace.lboro.ac.uk/2134/7023.

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This thesis addresses the tunnelling of charge carriers in different materials. First looking at the simplest case of electron tunnelling in metals at zero, then finite temperature, the current is obtained using the Fermi-Dirac golden rule and then the conductance is obtained. This is extended to take into account the spatial dependence of one of the metals being a tip since experimentally this is done by scanning tunnelling microscopy where a tip traces over the surface of a sample. The next step is to look at tunnelling between a metal and a semiconductor, again the current is found. Semicon

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Hayes, William Michael. "Neutron detection, the Kibble mechanism and the decay of quantum turbulence in superfluid '3He-B at very low temperatures." Thesis, Lancaster University, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.242837.

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