Feynman-Schwinder representation approach to nonperturbative physics
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 {chi}{sup 2} {phi} 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.
- Research Organization:
- Thomas Jefferson National Accelerator Facility, Newport News, VA (US) (US)
- Sponsoring Organization:
- USDOE Office of Energy Research (ER) (US) (US)
- DOE Contract Number:
- AC05-84ER40150
- OSTI ID:
- 753194
- Report Number(s):
- DOE/ER/40150-1291; JLAB-THY-99-16; WM-99-109; TRN: US0002247
- Journal Information:
- Phys Review, Vol. C, Issue 60; Other Information: Submitted to Physical Review, C; No.60, PBD: 1 Jun 1999; PBD: 1 Jun 1999
- Country of Publication:
- United States
- Language:
- English
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