Nonrenormalization theorems without supergraphs: the WessZumino model
Abstract
The nonrenormalization theorems of chiral vertex functions are derived on the basis of an algebraic analysis. The property, that the interaction vertex is a second supersymmetry variation of a lower dimensional field monomial, is used to relate chiral Green functions to superficially convergent Green functions by extracting the two supersymmetry variations from an internal vertex and transforming them to derivatives acting on external legs. The analysis is valid in the massive as well as in the massless model and can be performed irrespective of properties of the superpotential at vanishing momentum.
 Publication:

Nuclear Physics B
 Pub Date:
 March 2000
 DOI:
 10.1016/S05503213(99)00766X
 arXiv:
 arXiv:hepth/9907120
 Bibcode:
 2000NuPhB.569..625F
 Keywords:

 High Energy Physics  Theory
 EPrint:
 20 pages, Latex, added acknowledgments