The effective theory of strings

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.

45 pages, v2/3: Section 6.5 clarified, minor changes in Sections 1 and 6.4, typos corrected, v4: Section 7 rewritten, v5: final

References in corpus (7)

• Batalin-Vilkovisky formalism in perturbative algebraic quantum field theory
• Effective String Theory Revisited
• Removal of violations of the Master Ward Identity in perturbative QFT
• Effective String Theory and Nonlinear Lorentz Invariance
• Batalin-Vilkovisky formalism in locally covariant field theory
• Towards a Background Independent Formulation of Perturbative Quantum Gravity
• Perturbative Algebraic Quantum Field Theory and the Renormalization Groups

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• Ricci Flow from the Renormalization of Nonlinear Sigma Models in the Framework of Euclidean Algebraic Quantum Field Theory
• The semi-classical energy of open Nambu-Goto strings
• The semi-classical energy of closed Nambu-Goto strings
• BV analysis of Polyakov and Nambu-Goto theories with boundary
• Placing hidden properties of quantum field theory into the forefront: wedge localization and a new constructive on-shell setting
• Effective quantum gravity observables and locally covariant QFT
• The semi-classical energy of the Chodos-Thorn string