Evaluation of Feynman diagrams in the logarithmic approach to quantum field theory

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Abstract
The techniques necessary to compute the O(δ2) contributions to the Green’s functions of a scalar field theory with self-interaction λ(φ2)1+δ in d-dimensional space-time are developed. The resulting expressions are evaluated explicitly for d=1, 0, and some negative even dimensions. For d=3 and 4 we calculate their leading behavior in terms of a spatial cutoff a.

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