On Three-Particle Structure of phi**4 and the Infinite Scaling Limit

Jan, 1975
41 pages
Published in:
  • Phys.Rev.D 11 (1975) 2816
Report number:
  • Print-75-0042 (HARVARD)

Citations per year

1975197719791981198301234567
Abstract: (APS)
We show that the inverse propagator Γ(x) and the proper self-energy part Π(x) are positive for all x≠0. These results combined with some postulates on the sign or the decay of the vertex functions, in particular, on the decay rate for Γ(x), yield the absence of three-particle bound states and the existence of the scaling (Gell-Mann, Low, Wilson) limit for the φ4 interaction.
  • FIELD THEORY: CONSTRUCTIVE
  • field theory: scalar
  • FIELD THEORY: PATH INTEGRAL
  • N-POINT FUNCTION
  • VERTEX FUNCTION
  • PROPAGATOR
  • SCALING
  • RENORMALIZATION GROUP
  • MATHEMATICAL METHODS