Ondelettes: The spinor QED3 connection Academic Article uri icon

abstract

  • It is known that the formal perturbation theory of spinor quantum electrodynamics in three space-time dimensions requires no ultraviolet renormalization. We introduce an ondelette cluster expansion (with an infrared cutoff) which converges without counter-terms for weak coupling, thus making the knowledge rigorous. Following the formalism of Lesniewski, we integrate out the bosons at the outset to make the genuine absence of a large-field problem transparent. The combinatoric part of the convergence proof-indeed the precise case-by-case definition of the inductive expansion-is reserved for a subsequent paper. In this paper we publicize the language of ondelette diagrams-originally introduced by Federbush-and describe the correspondence to Feynman diagrams. © 1990.

author list (cited authors)

  • Battle, G.

citation count

  • 0

complete list of authors

  • Battle, Guy

publication date

  • July 1990