Renormalization of Quantum Field Theories with Non-linear Field Transformations

Renormalization theory, a short account of results and problems.- Some remarks for the construction of yang-mills field theories.- Non-linear field transformations simple examples and general remarks.- Superspace renormalization of N = 1, d = 4 supersymmetric gauge theories.- N= 2 Supersymmetric Yang-Mills Theories in the Wess-Zumino Gauge.- Radiative mass generation in scale invariant systems with spontaneous symmetry breakdown.- Discussion session on part I: Non-linear field transformations in 4 dimensions.- The non-linear sigma model.- B.R.S. renormalization of B(n+1) non linear ?-model.- Renormalization of bosonic non-linear ?-models built on compact homogeneous manifolds.- Nonlinear field renormalizations in the background field method.- Kahler geometry and supersymmetric non-linear ?-models: An introduction.- Methods in hyperkähler ? models building.- Sigma model ?-functions at all loop orders.- The d=2 conformally invariant SU(2) ?-model with wess-zumino term and related critical theories+).- The two-dimensional 0(n) nonlinear ?-model from a wilson renormalization group viewpoint.- Nonlinear ?-models with boundary and open strings.- Discussion session on part II: Non-linear ?-models.- Remarks on slavnov symmetries.- Supersymmetric properties of field theories in 10-D.- Generalized wess-zumino terms.