Confinement and the analytic structure of the one body propagator in scalar QED

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The authors investigate the behavior of the one body propagator in SQED. The self energy is calculated using three different methods: (1) the simple bubble summation, (2) the Dyson-Schwinger equation, and (3) the Feynman-Schwinger representation. The Feynman-Schwinger representation allows an exact analytical result in the quenched approximation. It is shown that, while the exact result produces a real mass pole for all couplings, the bubble sum and the Dyson-Schwinger approach in rainbow approximation leads to complex mass poles beyond a certain critical coupling. The model exhibits confinement as a basic property of the four-point function without implying a lack of ... continued below

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316 KILOBYTES pages

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Savkli, C.; Tjon, J. & Gross, F. June 1, 1999.

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The authors investigate the behavior of the one body propagator in SQED. The self energy is calculated using three different methods: (1) the simple bubble summation, (2) the Dyson-Schwinger equation, and (3) the Feynman-Schwinger representation. The Feynman-Schwinger representation allows an exact analytical result in the quenched approximation. It is shown that, while the exact result produces a real mass pole for all couplings, the bubble sum and the Dyson-Schwinger approach in rainbow approximation leads to complex mass poles beyond a certain critical coupling. The model exhibits confinement as a basic property of the four-point function without implying a lack of a mass pole in the propagator.

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316 KILOBYTES pages

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  • Other Information: No journal information given for this preprint; PBD: 1 Jun 1999

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  • Report No.: DOE/ER/40150-1308
  • Report No.: WM-99-109
  • Report No.: JLAB-THY-99-18
  • Grant Number: AC05-84ER40150
  • Office of Scientific & Technical Information Report Number: 753185
  • Archival Resource Key: ark:/67531/metadc709409

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  • June 1, 1999

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  • Sept. 12, 2015, 6:31 a.m.

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  • Feb. 5, 2016, 8:43 p.m.

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Savkli, C.; Tjon, J. & Gross, F. Confinement and the analytic structure of the one body propagator in scalar QED, article, June 1, 1999; Newport News, Virginia. (digital.library.unt.edu/ark:/67531/metadc709409/: accessed September 24, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.