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Infraparticle scattering states in nonrelativistic quantum electrodynamics. II. Mass shell properties

J. Math. Phys. 50, 012103 (2009); doi:10.1063/1.3000088

Published 9 January 2009

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Thomas Chen,1 Jürg Fröhlich,3 and Alessandro Pizzo3
1Department of Mathematics, University of Texas at Austin, 1 University Station C1200, Austin, Texas 78712, USA
2Institut für Theoretische Physik, ETH Hönggerberg, CH-8093 Zürich, Switzerland, and IHÉS, 35 Route de Chartres, 91440 Bures sur Yvette, France
3Department of Mathematics, One Shields Avenue, University of California Davis, Davis, California 95616, USA
We study the infrared problem in the usual model of quantum electrodynamics with nonrelativistic matter. We prove spectral and regularity properties characterizing the mass shell of an electron and one-electron infraparticle states of this model. Our results are crucial for the construction of infraparticle scattering states, which are treated in a separate paper. ©2009 American Institute of Physics
History: Received 22 April 2008; accepted 24 September 2008; published 9 January 2009
Permalink: http://link.aip.org/link/?JMAPAQ/50/012103/1
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KEYWORDS and PACS

Keywords
PACS
  • 12.20.Ds
    Specific calculations in quantum electrodynamics
  • 11.10.Hi
    Renormalization group evolution of field theory parameters
  • YEAR: 2009

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ISSN:
0022-2488 (print)   1089-7658 (online)
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