Large volume behavior of Yang-Mills propagators

We summarize results on finite-volume effects in the propagators of Landau gauge Yang-Mills theory using Dyson-Schwinger equations on a 4-dimensional torus. We demonstrate explicitly how the solutions for the gluon and the ghost propagator tend towards their respective infinite volume forms in the c...

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Bibliographic Details
Main Authors: Fischer, Christian S. (Author) , Pawlowski, Jan M. (Author)
Format: Article (Journal) Chapter/Article
Language:English
Published: 2007
In: Arxiv

Online Access:Verlag, kostenfrei, Volltext: http://arxiv.org/abs/0709.3205
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Author Notes:Christian S. Fischer, Institut für Physik, Technische Universität Darmstadt, Schlossgartenstr. 9, 64289 Darmstadt, Germany; Reinhard Alkofer, Institut für Physik, Karl-Franzens-Universität, Universitätsplatz 5, A-8010 Graz, Austria; Axel Maas, Institute of Physics, Slovak Academy of Sciences, Dúbravsk á cesta 9, SK-845 11 Bratislava, Slovakia; Jan M. Pawlowski, Institut für Theoretische Physik, University of Heidelberg, Philosophenweg 16, 62910 Heidelberg, Germany; Lorenz von Smekal, Centre for the Subatomic Structure of Matter, School of Chemistry and Physics, The University of Adelaide, SA 5005, Australia
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Summary:We summarize results on finite-volume effects in the propagators of Landau gauge Yang-Mills theory using Dyson-Schwinger equations on a 4-dimensional torus. We demonstrate explicitly how the solutions for the gluon and the ghost propagator tend towards their respective infinite volume forms in the corresponding limit. We discuss the relation of our solutions with results from lattice Monte-Carlo simulations.
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