Zinn-Justin equation
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Author: Dr. Jean Zinn-Justin, Institut de Physique Théorique, Gif-sur-Yvette Cedex, FRANCE
on Amazon.Dr. Jean Zinn-Justin accepted the invitation on 6 May 2008 (self-imposed deadline: 6 October 2008).
At the beginning of the 1970s, intense work was devoted to the proof of the renormalizability of non-abelian gauge theories, a mathematical framework at the basis of the Standard Model of interactions at the microscopic scale. Initial proofs by Lee-Zinn-Justin and 't Hooft-Veltman (1972) were simplified and generalized with the use of the discovered BRS symmetry (for Becchi, Stora and Rouet). The general proof is now based on the master (also called Zinn-Justin) equation (Zinn-Justin 1974), which is a quadratic equation for the so-called one particle irreducible (1PI) generating functional of Green's or correlation functions.
This equation can be shown to be stable under renormalization (the procedure by which the infinities of quantum field theory are eliminated) and its general solution, taking into account power counting, gives the general form of the renormalized Lagrangian.
The article, when completed, will try to give an idea of the origin and the properties of the ZJ equation.
--Zinn-Justin 03:34, 6 May 2008 (EDT)Jean Zinn-Justin
| Author: Dr. Jean Zinn-Justin, Institut de Physique Théorique, Gif-sur-Yvette Cedex, FRANCE |
