The Master Ward Identity and Generalized SchwingerDyson Equation in Classical Field Theory
Abstract
In the framework of perturbative quantum field theory a new, universal renormalization condition (called Master Ward Identity) was recently proposed by one of us (M.D.) in a joint paper with F.M. Boas. The main aim of the present paper is to get a better understanding of the Master Ward Identity by analyzing its meaning in classical field theory. It turns out that it is the most general identity for classical local fields which follows from the field equations. It is equivalent to a generalization of the SchwingerDyson Equation and is closely related to the Quantum Action Principle of Lowenstein and Lam. As a byproduct we give a selfcontained treatment of Peierls' manifestly covariant definition of the Poisson bracket.
 Publication:

Communications in Mathematical Physics
 Pub Date:
 2003
 DOI:
 10.1007/s0022000309684
 arXiv:
 arXiv:hepth/0211242
 Bibcode:
 2003CMaPh.243..275D
 Keywords:

 High Energy Physics  Theory
 EPrint:
 56 pages. to appear in Commun. Math. Phys