Exact Summation of Outer Rainbow Selfenergy Graphs in Lambda phi**2 phi**2 Theory

Rothe, K.D.

doi:10.1016/0550-3213(76)90041-9

Exact Summation of Outer Rainbow Selfenergy Graphs in Lambda phi2 phi2 Theory

K.D. Rothe
(
- Bielefeld U.
)

1976

21 pages

Published in:

Nucl.Phys.B 104 (1976) 344-364

Published: 1976

DOI:

10.1016/0550-3213(76)90041-9

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Abstract: (Elsevier)

We use momentum space techniques to sum the complete class of outer rainbow graphs contributing to the IPI two-point function in λφ 2 ϕ 2 theory. The results are exact to all orders of λ and for all values of q 2 . By working in momentum space, we avoid the ambiguities which arose in the configuration space treatment of earlier work. It is shown that the renormalized integral equation can be reduced to a Volterra equation with non - L 2 kernel. The solution is found to agree with the asymptotic results of our configuration space treatment. Properties of the solution such as uniqueness, cut-off dependence, relation to perturbation theory and anomalous ultraviolet behaviour are discussed.

FIELD THEORETICAL MODEL
MODEL: N-POINT FUNCTION
MOMENTUM
RENORMALIZATION
MATHEMATICS
PERTURBATION THEORY

References(15)

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