A block spin construction of ondelettes Part II: The QFT connection Academic Article uri icon


  • We apply the Lemarié basis of ondelettes to the Battle-Federbush cluster expansion for the φ34 quantum field theory. Since there is no infrared problem for this model, we also show how the large-scale ondelettes can be thrown away and replaced by unit-scale functions. Finally, we apply the block spin machine of Part I to the construction of exponentially localized ondelettes orthogonal with respect to the free, massless action of the scalar field. © 1988 Springer-Verlag.

author list (cited authors)

  • Battle, G.

citation count

  • 21

publication date

  • March 1988