Schwinger-DeWitt proper-time expansion and eikonal approximation
In the context of the Dirac equation, we show that the Schwinger-DeWitt proper-time expansion of the exact Green's function is useful for high-energy scattering and, in fact, provides a systematic generalization of the eikonal approximation. Because of its simplicity and its direct appeal to the coordinate-space scattering picture, the Schwinger-DeWitt expansion method should be valuable in studying corrections to the lowest-order eikonal approximation. A numerical comparison is made for an exponential potential. Within the same framework a systematic formalism is also developed to deal with large-angle scattering, and this yields a generalization of Schiff's large-angle formula. Applications to high-energy scattering problems in quantum field theories are indicated.
- Research Organization:
- Department of Physics, Ewha Women's University, Seoul, Korea
- OSTI ID:
- 5921380
- Journal Information:
- Phys. Rev. D; (United States), Vol. 31:4
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
SCATTERING
QUANTUM FIELD THEORY
DIRAC EQUATION
EIKONAL APPROXIMATION
ELECTROMAGNETIC FIELDS
GAUGE INVARIANCE
GREEN FUNCTION
METRICS
RENORMALIZATION
SPACE-TIME
SPIN
VACUUM POLARIZATION
ANGULAR MOMENTUM
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
FUNCTIONS
INVARIANCE PRINCIPLES
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
WAVE EQUATIONS
645201* - High Energy Physics- Particle Interactions & Properties-Theoretical- General & Scattering Theory
645400 - High Energy Physics- Field Theory
645500 - High Energy Physics- Scattering Theory- (-1987)