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Nonperturbative dynamics of scalar field theories through the Feynman-Schwinger representation

  • On the 70th Anniversary of Yurii Antonovich Simonov
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Abstract

We present a summary of results obtained for scalar field theories usingt he Feynman-Schwinger (FSR) approach. Specifically, scalar QED and X 2 φ theories are considered. The motivation behind the applications discussed in this paper is to use the FSR method as a rigorous tool for testing the quality of commonly used approximations in field theory. Exact calculations in a quenched theory are presented for one-, two-, and three-body bound states. Results obtained indicate that some of the commonly used approximations, such as Bethe-Salpeter ladder summation for bound states and the rainbow summation for one-body problems, produce significantly different results from those obtained from the FSR approach. We find that more accurate results can be obtained using other, simpler, approximation schemes.

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Authors and Affiliations

  1. Lockheed Martin Space Operations, Greenbelt, USA

    C. Savkli

  2. Jefferson Lab, Newport News, USA

    F. Gross & J. Tjon

  3. Department of Physics, University of Maryland, College Park, USA

    J. Tjon

Authors
  1. C. Savkli
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  2. F. Gross
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  3. J. Tjon
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Additional information

From Yadernaya Fizika, Vol. 68, No. 5, 2005, pp. 874–893.

Original English Text Copyright © 2005 by Savkli, Gross, Tjon.

This article was submitted by the authors in English.

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Savkli, C., Gross, F. & Tjon, J. Nonperturbative dynamics of scalar field theories through the Feynman-Schwinger representation. Phys. Atom. Nuclei 68, 842–860 (2005). https://doi.org/10.1134/1.1935017

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  • DOI: https://doi.org/10.1134/1.1935017

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