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GR: Fachverband Gravitation und Relativitätstheorie

GR 18: Quantenfeldtheorie in gekrümmten Raumzeiten

GR 18.1: Talk

Friday, March 1, 2013, 11:45–12:00, HS 6

Quantization of submanifold embeddings — Dorothea Bahns¹, Katarzyna Rejzner², and •Jochen Zahn¹ — ¹Courant Research Centre "Higher Order Structures", Universität Göttingen — ²II. Institut für Theoretische Physik, Universität Hamburg

We describe a perturbative quantization of the embedding of d-dimensional submanifolds into n-dimensional Minkowski space, based on suitable generalizations of the Nambu-Goto action. We use tools from perturbative algebraic quantum field theory, quantum field theory on curved spacetimes, and the Batalin-Vilkovisky formalism. The resulting theory is perturbatively non-renormalizable, but well-defined as an effective theory, i.e., there are no anomalies, for any dimension d, n. In particular there is no critical dimension for the case of string theory (d=2).