Regensburg 1998 – scientific programme

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MP: Theoretische und Mathematische Grundlagen der Physik

MP 6: Quantenfeldtheorie und statistische Mechanik

MP 6.6: Fachvortrag

Tuesday, March 24, 1998, 16:00–16:20, H46

Explicit Computations by means of Algebraic Renormalization — •P.A. Grassi¹ and R. Ferrari² — ¹Max-Planck-Institut für Physik, Werner Heisenberg Institut, Föhringer Ring 6, 80805, München, Germany — ²Dipartimento di Fisica, Universita’ di Milano, via Celoria 16, 20133, Milano, Italy

The Algebraic Renormalization is a well established method to perform the renormalization of models characterized by global and local symmetries in presence of non-invariant regularization. Nevertheless a technique to implement the Algebraic Renormalization in explicit computations in physical interesting models is still lacking. We will present a possible technique which provides an all-orders algorithm to perform practic computations by means of the Slavnov-Taylor identities, Ward-Takadashi identities and Callan-Symanzik equation. The choice of the normalization conditions, the use of the Background Field Method and two loops computations will be also discussed.