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Dissertations / Theses on the topic 'Dyson Schwinger equations'

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Published: 4 June 2021
Last updated: 5 October 2024

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1

Wilson, Nicholas. "Dyson-Schwinger equations in quantum electrodynamics at finite temperature." Thesis, The University of Sydney, 2013. http://hdl.handle.net/2123/10015.

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The functional integral formulation of finite temperature field theory and its connection to statistical mechanics is reviewed. The one loop contributions to quantum electrodynamics at finite temperature are explicitly calculated. Dyson-Schwinger equations for quantum electrodynamics at finite temperature are constructed and possible methods of solving them are discussed.
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2

Zahlten, Claus. "Bödeker's effective theory from Langevin dynamics to Dyson-Schwinger equations /." [S.l. : s.n.], 2004. http://deposit.ddb.de/cgi-bin/dokserv?idn=970226071.

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3

Worrall, Anthony Duncan. "The Schwinger-Dyson equations and confinement in quantum chromo-dynamics." Thesis, Durham University, 1985. http://etheses.dur.ac.uk/7024/.

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The Schwinger-Dyson equations for the gluon and quark propagators are investigated in the covariant gauge. The renormalization functions are approximated suitably and the value of the parameters are determined by requiring that the functions be numerically self-consistent solutions over appropriate ranges of momenta. In the case of the gluon the Schwinger-Dyson equation is truncated by neglecting the the two loop contributions and the triple gluon vertex is approximated by a form proposed by Mandelstam which has the same behaviour as the more complicated longitudinal vertex determined from the
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4

Jia, Shaoyang. "Formulating Schwinger-Dyson Equations for Qed Propagators in Minkowski Space." W&M ScholarWorks, 2017. https://scholarworks.wm.edu/etd/1516639559.

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The Schwinger-Dyson equations (SDEs) are coupled integral equations for the Green's functions of a quantum field theory (QFT). The SDE approach is the analytic nonperturbative method for solving strongly coupled QFTs. When applied to QCD, this approach, also based on first principles, is the analytic alternative to lattice QCD. However, the SDEs for the n-point Green's functions involves (n+1)-point Green's functions (sometimes (n+2)-point functions as well). Therefore any practical method for solving this infinitely coupled system of equations requires a truncation scheme. When considering st
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5

Mezrag, Cédric. "Generalised Parton Distributions : from phenomenological approaches to Dyson-Schwinger equations." Thesis, Paris 11, 2015. http://www.theses.fr/2015PA112144/document.

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Cette étude est consacrée aux distributions de partons généralisées (GPDs, de l'anglais Generalised Parton Distributions). Dans un premier temps, les principales propriétés des GPDs sont rappelées. On insiste notamment sur les propriétés dites de support et sur la polynomialité. Cette dernière est automatiquement respectée lorsque l'on modélise les GPDs au travers des doubles distributions (DDs), les GPDs s'écrivant comme la transformée de Radon des DDs.Dans le cas scalaire, deux DDs, notées F et G, sont nécessaires pour décrire la GPD H. Du fait de la relation intégrale existant entre H d'un
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6

Williams, Richard. "Schwinger-Dyson equations in QED and QCD : the calculation of fermion-antifermion condensates." Thesis, Durham University, 2007. http://etheses.dur.ac.uk/2558/.

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We present non-perturbative solutions for the fermion and boson propagators of QED in both three- and four-dimensions, and QCD. In doing so, we solve the coupled system of Schwinger-Dyson equations numerically in Euclidean space, investigating criticality, gauge dependence and phenomenology of the solutions. We do so by exploiting a new and novel three-point ansatz, the Kizilersü-Pennington vertex, designed to satisfy multiplicative renormalisability in unquenched QED. The efficacy of this is demonstrated numerically for QED(_4), where we find a marked improvement in the gauge-invarance of the
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7

Gentles, Andrew James. "Nonperturbative propagators in axial gauge QCD." Thesis, University of Southampton, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.243921.

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8

Kleeberg, Katja [Verfasser]. "Dyson-Schwinger Equations for strongly interacting fermions on the hexagonal graphene lattice / Katja Kleeberg." Gießen : Universitätsbibliothek, 2019. http://d-nb.info/1200352521/34.

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9

Harada, Masayasu, and Yukio Nemoto. "Quasifermion spectrum at finite temperature from coupled Schwinger-Dyson equations for a fermion-boson system." American Physical Society, 2008. http://hdl.handle.net/2237/11340.

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10

Müller, Daniel Verfasser], Jochen [Akademischer Betreuer] [Wambach, and Michael [Akademischer Betreuer] Buballa. "QCD at finite density with Dyson-Schwinger equations / Daniel Müller. Betreuer: Jochen Wambach ; Michael Buballa." Darmstadt : Universitäts- und Landesbibliothek Darmstadt, 2013. http://d-nb.info/1106454871/34.

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11

Müller, Daniel [Verfasser], Jochen [Akademischer Betreuer] Wambach, and Michael [Akademischer Betreuer] Buballa. "QCD at finite density with Dyson-Schwinger equations / Daniel Müller. Betreuer: Jochen Wambach ; Michael Buballa." Darmstadt : Universitäts- und Landesbibliothek Darmstadt, 2013. http://nbn-resolving.de/urn:nbn:de:tuda-tuprints-34836.

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12

Watson, Peter. "The inclusion of ghosts in Landau gauge Schwinger-Dyson studies of infrared QCD." Thesis, Durham University, 2000. http://etheses.dur.ac.uk/4197/.

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It is widely believed that Quantum Chromodynamics (QCD) is the theory that describes the strong interaction. In the infrared region of the theory, the perturbative expansion breaks down and so, other techniques must be used. One such technique is the study of the Schwinger-Dyson equations. In this thesis is presented such a study. It is shown that the ghost sector of QCD may be crucial to the understanding of the infrared behaviour. Conventionally, the Slavnov- Taylor identity is used to truncate the Schwinger-Dyson equations but it is found that for the ghost-gluon vertex, such an identity ca
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13

Figueiredo, Clara Teixeira 1991. "Mecanismos e consequências da geração de massa dinâmica para o gluon." [s.n.], 2016. http://repositorio.unicamp.br/jspui/handle/REPOSIP/320985.

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Orientadora: Arlene Cristina Aguilar<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Física Gleb Wataghin<br>Made available in DSpace on 2018-08-31T04:21:18Z (GMT). No. of bitstreams: 1 Figueiredo_ClaraTeixeira_M.pdf: 3320128 bytes, checksum: 24dc162fc60ec8d9e4cdb7690324c5fa (MD5) Previous issue date: 2016<br>Resumo: Neste trabalho, descrevemos os mecanismos de geração de uma massa dinâmica para o gluon no regime não perturbativo da QCD. Além disso, analisamos o impacto que essa geração de massa do gluon aliada ao comportamento do ghost, que permanece não massivo
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14

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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15

Bhagwat, Mandar S. "Aspects of Non-Perturbative QCD for Hadron Physics." Kent State University / OhioLINK, 2005. http://rave.ohiolink.edu/etdc/view?acc_num=kent1113519118.

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16

Hihn, Markus. "The generalized chord diagram expansion." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät, 2016. http://dx.doi.org/10.18452/17592.

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Dyson-Schwinger-Gleichungen sind Fixpunktgleichungen, die in der Quantenfeldtheorie auftauchen. Obwohl es bekannt ist, wie die Kombinatorik vor der Anwendung von Feynman-Regeln aussieht, war die Kombinatorik der resultierenden analytischen Dyson-Schwinger-Gleichungen bisher unbekannt. Wir verallgemeinern die Arbeiten von Yeats et.al. auf diesem Gebiet zu einer Klasse von unendlich vielen Dyson-Schwinger-Gleichungen mit Hilfe von Sehnen-Diagrammen.<br>In quantum field theory, Dyson-Schwinger equations are fixed-point equations that come from self insertion properties of Feynman graphs. While th
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17

Metikas, Georgios. "Aspects of thermal field theory with applications to superconductivity." Thesis, University of Oxford, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.312156.

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18

Nguyen, Trang Thi. "Aspects of Non-perturbative QCD FOR Meson Physics." Kent State University / OhioLINK, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=kent1267371699.

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19

Lokhov, Alexey. "Etude non-perturbative de corrélateurs en QCD." Phd thesis, Ecole Polytechnique X, 2006. http://tel.archives-ouvertes.fr/tel-00114163.

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Une étude non-perturbative des corélateurs en QCD est présentée. La méthode principale employée<br />est la simulation numérique sur réseau. Cet outil a été largement utilisé en phénoménologie,<br />mais il peut aussi servir pour étudier les paramètres fondamentaux de la théorie (tels que la<br />constante de couplage) et ses propriétés fondamentales. Ceci est le but principal de la présente<br />thèse. Nous avons étudié les fonctions de corrélation de la théorie Yang-Mills pure en jauge<br />de Landau, notamment les propagateurs du gluon et du fantôme. Nous nous sommes particulièrement<br />i
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20

Souchlas, Nicholas. "Quark Dynamics and Constituent Masses in Heavy Quark Systems." Kent State University / OhioLINK, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=kent1248013809.

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21

Riberdy, Michael. "Continuum QCD approaches to the 3D structure of the nucleon." Electronic Thesis or Diss., université Paris-Saclay, 2024. http://www.theses.fr/2024UPASP043.

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Premier aspect : Modélisation des GPDs via les fonctions d'onde du cône de lumière (FOCLs)L'étude améliore les moyens de trouver les fluctuations des nucléons en terme de quarks d'helicité définie. Elle utilise une représentation des distributions généralisées de partons (GPD) fondée sur des FOCLs de moment angulaire orbital de quark défini. Ces FOCLs sont importantes dans les développements de Fock des états hadroniques et sont des projections d'amplitudes à trois quarks. Les projections 3D du cône de lumière de ces amplitudes sont utilisées pour restaurer une interprétation probabiliste. Les
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22

Kamli, Ali Ahmed. "Reliability of the Dyson-Schwinger gap equation in technicolor theories." Thesis, University of Southampton, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.358369.

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23

Müller, Daniel. "QCD at finite density with Dyson-Schwinger equations." Phd thesis, 2013. http://tuprints.ulb.tu-darmstadt.de/3483/1/main.pdf.

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In this work we investigate QCD at finite density with Dyson-Schwinger equations. In the first part we consider color-superconducting phases, which occur at high densities through the formation of quark-quark pairs. We describe 2SC and CFL phases with massive strange quarks. We calculate the phase diagram in a hard-thermal-loop / hard-dense-loop approximation which describes the back-coupling of massless quarks to the gluons. We fixed the vertex parameters to a chiral critical temperature of Tc=150 MeV. This approximation results in low critical temperatures for the color-superconducting phase
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24

Sizer, Tom. "Regularization and renormalization of non-perturbative quantum electrodynamics via the Dyson-Schwinger equations." Thesis, 2014. http://hdl.handle.net/2440/85347.

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We investigate the effect of using different regularization and renormalization schemes in studying numerical solutions of quenched quantum electrodynamics (QED) using the Dyson-Schwinger equations for the fermion propagator. A primary motivation is to explore dynamical chiral symmetry breaking (DCSB) and mass generation in the theory - typically, QED undergoes a phase transition to a DCSB state above a certain critical value of the interaction strength. Previous studies have used a cut-off regulator to render the equations finite before applying off-shell renormalization. A major outcome of t
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25

Zahlten, Claus [Verfasser]. "Bödeker's effective theory : from Langevin dynamics to Dyson-Schwinger equations / presented by Claus Zahlten." 2004. http://d-nb.info/970226071/34.

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26

"Two-flavor Color Superconductivity in Magnetic Field." Doctoral diss., 2012. http://hdl.handle.net/2286/R.I.14593.

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abstract: Quark matter at sufficiently high density and low temperature is expected to be a color superconductor, and may exist in the interior of neutron stars. The properties of two simplest possible color-superconducting phases, i.e., the color-flavor-locked (CFL) and two-flavor superconducting (2SC) phases, are reviewed. The effect of a magnetic field on the pairing dynamics in two-flavor color-superconducting dense quark matter is investigated. A universal form of the gap equation for an arbitrary magnetic field is derived in the weakly coupled regime of QCD at asymptotically high density
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