Feynman-Schwinder representation approach to nonperturbative physics [electronic resource].
- Washington, D.C. : United States. Dept. of Energy. Office of Energy Research, 1999.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
- Physical Description:
- 667 Kilobytes pages : digital, PDF file
- Additional Creators:
- Thomas Jefferson National Accelerator Facility (U.S.)
United States. Department of Energy. Office of Energy Research
United States. Department of Energy. Office of Scientific and Technical Information
- The Feynman-Schwinger representation provides a convenient framework for the calculation of nonperturbative propagators. In this paper the authors first investigate an analytically solvable case, namely the scalar QED in 0+1 dimension. With this toy model they illustrate how the formalism works. The analytic result for the self energy is compared with the perturbative result. Next, using a χ² φ interaction, they discuss the regularization of various divergences encountered in this formalism. The ultraviolet divergence, which is common in standard perturbative field theory applications, is removed by using a Pauli-Villars regularization. They show that the divergence associated with large values of Feynman-Schwinger parameter s is spurious and it can be avoided by using an imaginary Feynman parameter is.
- Published through SciTech Connect.
Phys Review C 60 FT
Gross, F.; Tjon, J.; Savkli, C.
- Funding Information:
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