String Perturbation Theory and One-Loop Amplitudes

  • Ralph Blumenhagen
  • Dieter Lüst
  • Stefan Theisen
Part of the Theoretical and Mathematical Physics book series (TMP)


In this chapter we study issues of relevance for the perturbation theory of oriented bosonic strings. After giving a general description of world-sheets of higher genus, we discuss in some detail string one loop diagrams. We first do this for the closed string leading to torus diagrams, which we discuss both for the bosonic string and, continuing our presentation from  Chap. 4, also for abstract conformal field theories. In this context we also present the simple current method, which provides a powerful tool for generating modular invariant partition functions. We also discuss the one-loop amplitude for open strings. From the one-loop amplitude of an open string stretched between two bosonic Dp-branes we extract the D-brane tension.


Partition Function Modulus Space Vertex Operator Open String Closed String 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Ralph Blumenhagen
    • 1
  • Dieter Lüst
    • 2
  • Stefan Theisen
    • 3
  1. 1.Werner-Heisenberg-Institut Max-Planck-Institut für PhysikMünchenGermany
  2. 2.Arnold-Sommerfeld Zentrum für Theoretische PhysikLudwig-Maximilians Universität MünchenMünchenGermany
  3. 3.Albert-Einstein-Institut Max-Planck-Institut für GravitationsphysikGolmGermany

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