Third-Order Calculation in a Non-Polynomial Lagrangian Theory
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概要
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The third-order Feynman amplitude is considered in a simple model of a massless scalar field. Triple contour integrations are obtained. It is shown that the amplitude decreases in certain inverse power in (-p^2) in the space-like direction p^2→-∞, but the dependence of the power on the number of external lines differs from the case of the second-order amplitude. The behavior in time-like direction p^2→+∞ is expected to be marginally singular. Automatic quenching of the possible infrared catastrophe in non-polynomial Lagrangian theories is also noted.
- 理論物理学刊行会の論文
- 1970-10-25
著者
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Sakai Norisuke
Department Of Mathematics Tokyo Woman's Christian University
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Sakai Norisuke
Department Of Physics University Of Tokyo
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