Nonperturbative Dynamics of Scalar Field Theories through the Feynman-Schwinger Representation

Journal Article · Sun May 01 04:00:00 EDT 2005 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/1.1935017· OSTI ID:20692799

Savkli, C ^[1]; Gross, F ^[2]; Tjon, J ^[2]

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1. Lockheed Martin Space Operations, Greenbelt (United States)
2. Jefferson Lab, Newport News (United States)

We present a summary of results obtained for scalar field theories using the Feynman-Schwinger (FSR) approach. Specifically, scalar QED and {chi}{sup 2}{phi} 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.

• OSTI ID: 20692799
• Journal Information: Physics of Atomic Nuclei, Journal Name: Physics of Atomic Nuclei Journal Issue: 5 Vol. 68; ISSN 1063-7788; ISSN PANUEO
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BETHE-SALPETER EQUATION
BOUND STATE
FEYNMAN DIAGRAM
QUANTUM ELECTRODYNAMICS
SCALAR FIELDS
THREE-BODY PROBLEM