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Schwinger-DeWitt proper-time expansion and eikonal approximation

Title
Schwinger-DeWitt proper-time expansion and eikonal approximation
Authors
Kim S.K.Lee C.Min D.P.
Ewha Authors
김성구
SCOPUS Author ID
김성구scopusscopus
Issue Date
1985
Journal Title
Physical Review D
ISSN
0556-2821JCR Link
Citation
vol. 31, no. 4, pp. 829 - 847
Indexed
SCOPUS scopus
Abstract
In the context of the Dirac equation, we show that the Schwinger-DeWitt proper-time expansion of the exact Greens 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 Schiffs large-angle formula. Applications to high-energy scattering problems in quantum field theories are indicated. © 1985 The American Physical Society.
DOI
10.1103/PhysRevD.31.829
Appears in Collections:
자연과학대학 > 물리학전공 > Journal papers
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