Quantum Field Theory, 2009 Competitive Models

Preface (Bertfried Fauser, Jürgen Tolksdorf, Eberhard Zeidler).- Constructive Use of Holographic Projections (Bert Schroer).- Topos Theory and ‘Neo-Realist’ Quantum Theory (Andreas Döring).- A Survey on Mathematical Feynman Path Integrals: Construction, Asymptotics, Applications (Sergio Albeverio, Sonia Mazzucchi).- A Comment on the Infra-Red Problem in the AdS/CFT Correspondence (Hanno Gottschalk, Horst Thaler).- Some Steps Towards Noncommutative Mirror Symmetry on the Torus (Karl-Georg Schlesinger).- Witten’s Volume Formula, Cohomological Pairings of Moduli Spaces of Flat Connections and Applications of Multiple Zeta Functions (Partha Guha).- Noncommutative Field Theories from a Deformation Point of View (Stefan Waldmann).- Renormalization of Gauge Fields using Hopf Algebras (Walter D. van Suijlekom).- Not so Non-Renormalizable Gravity (Dirk Kreimer).- The Structure of Green Functions in Quantum Field Theory with a General State (Christian Brouder).- The Quantum Action Principle in the Framework of Causal Perturbation Theory (Ferdinand Brennecke, Michael Dütsch).- Plane Wave Geometry and Quantum Physics (Matthias Blau).- Canonical Quantum Gravity and Effective Theory (Martin Bojowald).- From Discrete Space-Time to Minkowski Space: Basic Mechanisms, Methods, and Perspectives (Felix Finster).- Towards a q-Deformed Quantum Field Theory (Hartmut Wachter).- Towards a q -Deformed Supersymmetric Field Theory (Alexander Schmidt).- L1-algebra Connections and Applications to String- and Chern-Simons n-Transport (Hisham Sati, Urs Schreiber, Jim Stasheff).- Index.