Academic literature on the topic 'Dyson Schwinger equations'

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Journal articles on the topic "Dyson Schwinger equations"

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SHOJAEI-FARD, ALI. "MOTIVIC DYSON–SCHWINGER EQUATIONS." International Journal of Modern Physics A 28, no. 20 (2013): 1350102. http://dx.doi.org/10.1142/s0217751x13501029.

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We consider Dyson–Schwinger Equations (DSEs) in the context of Connes–Kreimer renormalization Hopf algebra of Feynman diagrams and Connes–Marcolli universal Tannakian formalism. This study leads us to formulate a family of Picard–Fuchs equations and a category of Feynman motivic sheaves with respect to each combina torial DSE.
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Yeats, Karen. "Rearranging Dyson-Schwinger equations." Memoirs of the American Mathematical Society 211, no. 995 (2011): 0. http://dx.doi.org/10.1090/s0065-9266-2010-00612-4.

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Guralnik, Gerald, and Cengiz Pehlevan. "Complex Langevin equations and Schwinger–Dyson equations." Nuclear Physics B 811, no. 3 (2009): 519–36. http://dx.doi.org/10.1016/j.nuclphysb.2008.11.034.

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CAMPBELL-SMITH, A. "COMPOSITE OPERATOR EFFECTIVE POTENTIAL APPROACH TO QED3." Modern Physics Letters A 13, no. 29 (1998): 2337–46. http://dx.doi.org/10.1142/s0217732398002485.

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The composite operator effective potential is compared with the conventional Dyson–Schwinger method as a calculational tool for (2+1)-dimensional quantum electro-dynamics. It is found that when the fermion propagator ansatz is put directly into the effective potential, it reproduces exactly the usual gap equations derived in the Dyson–Schwinger approach.
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Shojaei-Fard, Ali. "Graph polynomials associated with Dyson-Schwinger equations." Mathematica Moravica 27, no. 2 (2023): 91–114. http://dx.doi.org/10.5937/matmor2302091s.

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Quantum motions are encoded by a particular family of recursive Hochschild equations in the renormalization Hopf algebra which represent Dyson-Schwinger equations, combinatorially. Feynman graphons, which topologically complete the space of Feynman diagrams of a gauge field theory, are considered to formulate some random graph representations for solutions of quantum motions. This framework leads us to explain the structures of Tutte and Kirchhoff-Symanzik polynomials associated with solutions of Dyson-Schwinger equations. These new graph polynomials are applied to formulate a new parametric r
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Berezin, A. V., A. A. Mironov, E. S. Sozinov, and A. M. Fedotov. "Dyson - Schwinger equations in scalar electrodynamics." Journal of Physics: Conference Series 2036, no. 1 (2021): 012008. http://dx.doi.org/10.1088/1742-6596/2036/1/012008.

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Blasone, M., P. Jizba, and L. Smaldone. "Schwinger-Dyson equations and flavor mixing." Journal of Physics: Conference Series 1071 (August 2018): 012003. http://dx.doi.org/10.1088/1742-6596/1071/1/012003.

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Binosi, Daniele, and Joannis Papavassiliou. "Pinch technique for Schwinger-Dyson equations." Journal of High Energy Physics 2007, no. 03 (2007): 041. http://dx.doi.org/10.1088/1126-6708/2007/03/041.

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Roberts, C. D. "Hadron properties and Dyson–Schwinger equations." Progress in Particle and Nuclear Physics 61, no. 1 (2008): 50–65. http://dx.doi.org/10.1016/j.ppnp.2007.12.034.

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Küster, Jens, and Gernot Münster. "Tadpole summation by Dyson-Schwinger equations." Zeitschrift für Physik C 73, no. 3 (1997): 551. http://dx.doi.org/10.1007/s002880050346.

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Dissertations / Theses on the topic "Dyson Schwinger equations"

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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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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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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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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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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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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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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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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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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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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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Books on the topic "Dyson Schwinger equations"

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Ebrahimi-Fard, Kurusch, and Frédéric Fauvet, eds. Faà di Bruno Hopf Algebras, Dyson–Schwinger Equations, and Lie–Butcher Series. European Mathematical Society Publishing House, 2015. http://dx.doi.org/10.4171/143.

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Balduf, Paul-Hermann. Dyson–Schwinger Equations, Renormalization Conditions, and the Hopf Algebra of Perturbative Quantum Field Theory. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-54446-0.

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Rearranging Dyson-Schwinger equations. American Mathematical Society, 2010.

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Asymptotics of Random Matrices and Related Models: The Uses of Dyson-Schwinger Equations. American Mathematical Society, 2019.

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Balduf, Paul-Hermann. Dyson-Schwinger Equations, Renormalization Conditions, and the Hopf Algebra of Perturbative Quantum Field Theory. Springer, 2024.

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Eynard, Bertrand. Random matrices and loop equations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797319.003.0007.

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This chapter is an introduction to algebraic methods in random matrix theory (RMT). In the first section, the random matrix ensembles are introduced and it is shown that going beyond the usual Wigner ensembles can be very useful, in particular by allowing eigenvalues to lie on some paths in the complex plane rather than on the real axis. As a detailed example, the Plancherel model is considered from the point of RMT. The second section is devoted to the saddle-point approximation, also called the Coulomb gas method. This leads to a system of algebraic equations, the solution of which leads to
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Book chapters on the topic "Dyson Schwinger equations"

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Yeats, Karen. "Introduction to Dyson-Schwinger Equations." In SpringerBriefs in Mathematical Physics. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-47551-6_6.

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Greensite, Jeff. "Ghosts, Gluons, and Dyson-Schwinger Equations." In An Introduction to the Confinement Problem. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-51563-8_11.

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Greensite, Jeff. "Ghosts, Gluons, and Dyson–Schwinger Equations." In An Introduction to the Confinement Problem. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-14382-3_10.

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Yeats, Karen. "Sub-Hopf Algebras from Dyson-Schwinger Equations." In SpringerBriefs in Mathematical Physics. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-47551-6_7.

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Huber, Markus Q. "Dyson-Schwinger Equations in the Gribov Region." In On Gauge Fixing Aspects of the Infrared Behavior of Yang-Mills Green Functions. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-27691-0_6.

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Guralnik, Zachary. "Boundary Conditions for Schwinger-Dyson Equations and Vacuum Selection." In Neutrino Mass, Dark Matter, Gravitational Waves, Monopole Condensation, and Light Cone Quantization. Springer US, 1996. http://dx.doi.org/10.1007/978-1-4899-1564-1_35.

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Gentles, Andrew J. "Non-Perturbative QCD on the Continuum : Solving the Dyson-Schwinger Equations." In Frontiers in Particle Physics. Springer US, 1995. http://dx.doi.org/10.1007/978-1-4899-1082-0_5.

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Balduf, Paul-Hermann. "Hopf Algebra Theory of Renormalization." In Dyson–Schwinger Equations, Renormalization Conditions, and the Hopf Algebra of Perturbative Quantum Field Theory. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-54446-0_2.

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Balduf, Paul-Hermann. "Renormalized Green Functions in Kinematic Renormalization." In Dyson–Schwinger Equations, Renormalization Conditions, and the Hopf Algebra of Perturbative Quantum Field Theory. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-54446-0_3.

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Balduf, Paul-Hermann. "Field Diffeomorphisms and Symmetries." In Dyson–Schwinger Equations, Renormalization Conditions, and the Hopf Algebra of Perturbative Quantum Field Theory. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-54446-0_5.

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Conference papers on the topic "Dyson Schwinger equations"

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Isserstedt, Philipp, Christian Fischer, and Thorsten Steinert. "QCD’s equation of state from Dyson-Schwinger equations." In FAIR next generation scientists - 7th Edition Workshop. Sissa Medialab, 2023. http://dx.doi.org/10.22323/1.419.0024.

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ROBERTS, Craig. "Form factors and Dyson-Schwinger equations." In LIGHT CONE 2008 Relativistic Nuclear and Particle Physics. Sissa Medialab, 2009. http://dx.doi.org/10.22323/1.061.0047.

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Chang, Lei, Ian C. Cloët, Craig D. Roberts, and Hannes L. L. Roberts. "T(r)opical Dyson-Schwinger Equations." In T(R)OPICAL QCD II WORKSHOP. AIP, 2011. http://dx.doi.org/10.1063/1.3587594.

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ROBERTS, C. D. "CHIRAL DYNAMICS FROM DYSON-SCHWINGER EQUATIONS." In Proceedings of the 5th International Workshop on Chiral Dynamics, Theory and Experiment. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812790804_0088.

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Fischer, Christian, Walter Heupel, Stanislav Kubrak, and Gernot Eichmann. "Hadron physics from Dyson-Schwinger equations -." In 51st International Winter Meeting on Nuclear Physics. Sissa Medialab, 2013. http://dx.doi.org/10.22323/1.184.0065.

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Campagnari, Davide, and Hugo Reinhardt. "Hamiltonian Dyson-Schwinger Equations of QCD." In Xth Quark Confinement and the Hadron Spectrum. Sissa Medialab, 2013. http://dx.doi.org/10.22323/1.171.0070.

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Liu, Yu-xin, Si-xue Qin, Lei Chang, and Craig D. Roberts. "QCD Phase Diagram Using Dyson-Schwinger Equations." In T(R)OPICAL QCD II WORKSHOP. AIP, 2011. http://dx.doi.org/10.1063/1.3587591.

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Campagnari, Davide, and Hugo Reinhardt. "Variational and Dyson-Schwinger Equations of QCD." In XIII Quark Confinement and the Hadron Spectrum. Sissa Medialab, 2019. http://dx.doi.org/10.22323/1.336.0041.

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Bashir, A., and A. Raya. "Gauge-invariant masses through Schwinger-Dyson equations." In QUARK CONFINEMENT AND THE HADRON SPECTRUM VII: 7th Conference on Quark Confinement and the Hadron Spectrum - QCHS7. AIP, 2007. http://dx.doi.org/10.1063/1.2714384.

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Bashir, A. "Non-perturbative Aspects of Schwinger-Dyson Equations." In PARTICLES AND FIELDS: Tenth Mexican School on Particles and Fields. AIP, 2003. http://dx.doi.org/10.1063/1.1594328.

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Reports on the topic "Dyson Schwinger equations"

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Roberts, C. D., and A. G. Williams. Dyson-Schwinger equations and their application to hadronic physics. Office of Scientific and Technical Information (OSTI), 1995. http://dx.doi.org/10.2172/166441.

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Hauck, A., R. Alkofer, and L. Von Smekal. The infrared behaviour of {alpha}{sub s} from Mandelstam`s approximation to the gluon Dyson-Schwinger equation. Office of Scientific and Technical Information (OSTI), 1996. http://dx.doi.org/10.2172/392757.

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