Communications in Mathematical Physics

, Volume 327, Issue 3, pp 779–814 | Cite as

The Effective Theory of Strings

  • Dorothea Bahns
  • Katarzyna Rejzner
  • Jochen ZahnEmail author


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.


Target Space Formal Power Series Covariant Functor Ghost Number Quantum Master Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Dorothea Bahns
    • 1
  • Katarzyna Rejzner
    • 2
  • Jochen Zahn
    • 1
    Email author
  1. 1.Courant Research Centre “Higher Order Structures”University of GöttingenGöttingenGermany
  2. 2.II. Institut für Theoretische PhysikUniversität HamburgHamburgGermany

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