Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-07-24
Elementary Particle, Field Theory and Statistical Mechanics, Eds. M. Bonini, G. Marchesini and E. Onofri, Parma University 199
Physics
High Energy Physics
High Energy Physics - Theory
56 pages, LaTex
Scientific paper
The aim of these lectures is to describe a construction, as self-contained as possible, of renormalized gauge theories. Following a suggestion of Polchinski, we base our analysis on the Wilson renormalization group method. After a discussion of the infinite cut-off limit, we study the short distance properties of the Green functions verifying the validity of Wilson short distance expansion. We also consider the problem of the extension to the quantum level of the classical symmetries of the theory. With this purpose we analyze in details the breakings induced by the cut-off in a $SU(2)$ gauge symmetry and we prove the possibility of compensating these breakings by a suitable choice of non-gauge invariant counter terms.
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