Infrared singularities and small distance behavior analysis

Symanzik, K.

doi:10.1007/BF01646540

Infrared singularities and small distance behavior analysis

K. Symanzik
(
- DESY
)

Apr, 1973

30 pages

Published in:

Commun.Math.Phys. 34 (1973) 7-36

DOI:

10.1007/BF01646540

Report number:

DESY-73-06

View in:

AMS MathSciNet

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Abstract: (Springer)

The infrared-singularity structure of the vertex functions of massless-particle φ4 theory is studied. This allows to construct the asymptotic forms of the vertex functions of massive-particle φ4 theory in a simpler and more explicit fashion than in a previous paper. With the help of the parquet approximation introduced by Diatlov, Sudakov, and Martirosian we show that the infrared-singularity structure in a theory with besides the massless particles, massive ones is the same as in the theory with massless particles only. All these results in φ4 theory have analoga in other renormalizable theories.

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