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- W2090848181 abstract "The behaviour of functions ƒ defined by ƒ(x) = ∫δ2+ (x,a) ρ (a) dx, is investigated in the neighborhood of the light-cone x2 = 0. The quantity Δ2+ is the well-known two-point distribution and the weight function ϱ is a distribution of slow growth. Expressions like ƒ in eq. (1) governs the light-cone behaviour of certain matrix elements of the product of two field operators in field theories of Wightman type. Explicit formulas have been given for the matrix elements between the vacuum state and the vacuum state (Kallén-Lehmann representation) as well as for the matrix elements between the vacuum state and a state with a definite non-zero (physical) energy-momentum vector. Rigorous conditions on the weight function ϱ are derived to ensure that the light-cone singularities of ƒ are of canonical type; i.e. similar to those at the distribution Δ2+. The usefulness of the Mellin transform of the weight function ϱ is pointed out both as a computational tool as well as for a principal description of the non-canonical light-cone singularities." @default.
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- W2090848181 date "1973-04-01" @default.
- W2090848181 modified "2023-09-27" @default.
- W2090848181 title "On the Mellin transform and the light-cone structure of two-point and three-point function matrix elements" @default.
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- W2090848181 doi "https://doi.org/10.1016/0550-3213(73)90418-5" @default.
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