Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
Nuclear Physics BI69 (1980) 415-429 North-Holland Publishing Company
 

Summary: Nuclear Physics BI69 (1980) 415-429
North-Holland Publishing Company
THE THREE-LOOP ~-FUNCTION FOR THE WESS-ZUMINO
MODEL
L.F. ABBOTT I and M.T. GRISARU 2
Departmentof Physics,Brandeis University, Waltham,Massachusetts02254, USA
Received 11 March 1980
We use superfield techniques to calculate the fl-function for the Wess-Zumino model at the
three-loop level. These techniques permit an easy evaluation of the three-loop diagrams and
allow us to exhibit in analytic form all relevant quantities. The scheme dependence of the
//-function is exhibited and three subtraction schemes (minimal, modified minimal and momen-
tum space) are discussed in detail. In particular we note that 8MS "//~tS.
1. Introduction
It is known that many of the simplifications and cancellations that occur in
theories which are supersymmetric can readily be exhibited by formulating the
theories in terms of superfields. Recently, simplifications in Feynman rules for
superfields have been proposed [1]. The new rules have the property that chiral
(scalar multiplet) propagators are &functions in 0-space with no exponentials of 0
present. Consequently, manifest supersymmetry can be maintained at all stages of
calculation and all possible simplifications due to supersymmetry occur automati-

  

Source: Abbott, Laurence - Center for Neurobiology and Behavior & Department of Physiology and Cellular Biophysics, Columbia University

 

Collections: Biology and Medicine