Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-12-17
Phys.Rev.D59:081701,1999
Physics
High Energy Physics
High Energy Physics - Theory
4 pages, 2 figures, LaTex
Scientific paper
10.1103/PhysRevD.59.081701
Universal low-energy behaviour ${2 m c}\over{\ln |s-4m^2|}$ of the scattering function of particles of positive mass m near the threshold $s=4m^2$, and ${\pi} \over {\ln |s-4m^2|}$ for the corresponding S-wave phase-shift, is established for weakly coupled field theory models with a positive mass m in space-time dimension 3; c is a numerical constant independent of the model and couplings. This result is a non-perturbative property based on an exact analysis of the scattering function in terms of a two-particle irreducible (or Bethe-Salpeter) structure function. It also appears as generic by the same analysis in the framework of general relativistic quantum field theory.
Bros Jacques
Iagolnitzer Daniel
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