Distributional limits of renormalized Feynman integrals with zero-mass denominators |
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Authors: | J H Lowenstein E Speer |
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Institution: | (1) Department of Physics, New York University, 10003 New York, N.Y., USA;(2) Department of Mathematics, Rutgers University, 08903 New Brunswick, N.J., USA |
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Abstract: | It is shown that the ![epsi](/content/x5v245x8856314xq/xxlarge949.gif) 0 limits of renormalized Feynman integrals exist and define Lorentz invariant tempered distributions in the external momenta. The proof applies to the case where some or all particle masses vanish.Research supported in part by the National Science Foundation Grant MPS-74-21778.Research supported in part by the National Science Foundation Grant GP-43758. |
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