ÿþ<html><head> <meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1"> <meta name="GENERATOR" content="Mozilla/4.04 [en] (X11; I; SunOS 5.6 sun4u) [Netscape]"></head> <body text="#000000" bgcolor="#ccffaa" link="#0000ef" vlink="#51188e" alink="#ff0000">   <br><b><font size="+1"> 1990 <br></font></b> <br><br> <b>Renormalization group</b> <br><br> <i>These are the lecture notes of a course given at the IIIe cycle de la Suisse Romande, in january/february 1990,<br> at the Universite' de Lausanne</i> (Institut de Physique The'orique).<br><br> <br><br> <b>Contents</b> <br><br> 1 Introduction <br> 2 Problems equivalent to the analysis of suitable functional integrals<br> 3 Other functional integrals<br> 4 Effective potentials and Schwinger functions<br> 5 Multiscale decomposition of propagators and fields. Running effective potentials<br> 6 Renormalization group. Relevant and irrelevant components of the effective potentials<br> 7 Asymptotic freedom. Upper critical dimension<br> 8 Beyond the linear approximation. The beta function and perturbation theory<br> 9 The beta function as a dynamical system. Asymptotic freedom of marginal theories<br> 10 Anomalous dimension<br> 11 The Fermi liquid and the Luttinger model<br> 12 The generic critical point for d=3, gamma=0 and the epsilon-expansion<br> Published by <br><br> Troisie`me cycle de la physique en Suisse Romande<br> Service des publications<br> Universite' de Lausanne<br> BSP, Dorigny<br> CH-1015 Lausanne<br> Switzerland<br> </body> </html>