Solution to the Schwinger-Dyson Equations of Quantum Electrodynamics
Solution to the Schwinger-Dyson Equations of Quantum Electrodynamics
Cartier, Joan F.
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The function, G Q , approaches a constant equal to unity. Therefore the approximation used to derive the 2 M.S.S. not only holds but is actually better in the asymptotic p region 113 than it is in the mass shell region. By this criterion alone the M.S.S. 2 should be expected to work in the asymptotic p region. However, in deriving the M.S.S. another approximation was made. It was assumed A(p^) ■ A(p|) -m, (8-8) where m is the experimental mass. This approximation is completely 2 wrong in the la...rge p region since as |p 2 |+~, A(p^) + and A(p 2 ) - 0. (8-9) In deriving the M.S.S. as it appears in Table 6-1, the approxima- tion in Eq. (8-8) was used to provide a simplified expression of the D A , D A , D A and D A tensors (first defined in Eq. (6-7)). If the approx- y' yv yvp imation had not been employed the tensors, D , D , D and D , would have taken the form, D A = [A ]P A + A 2 p A ]/D 12 !2 C = [(p ly p 2v " P 2 yPlX + (Plv P 2p-P2vPlp )6 y + (p.
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