The Effective Theory of Strings |
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Authors: | Dorothea Bahns Katarzyna Rejzner Jochen Zahn |
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Institution: | 1. Courant Research Centre “Higher Order Structures”, University of G?ttingen, Bunsenstra?e 3–5, 37073, G?ttingen, Germany 2. II. Institut für Theoretische Physik, Universit?t Hamburg, Luruper Chaussee 149, 22761, Hamburg, Germany
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Abstract: | We show that the Nambu–Goto string, and its higher dimensional generalizations, can be quantized, in the sense of an effective theory, in any dimension of the target space. The crucial point is to consider expansions around classical string configurations. We are using tools from perturbative algebraic quantum field theory, quantum field theory on curved spacetimes, and the Batalin–Vilkovisky formalism. Our model has some similarities with the Lüscher–Weisz string, but we allow for arbitrary classical background string configurations and keep the diffeomorphism invariance. |
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