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Published December 1, 2006 | public
Journal Article Open

D0-brane recoil revisited

Abstract

One-loop string scattering amplitudes computed using the standard D0-brane conformal field theory (CFT) suffer from infrared divergences associated with recoil. A systematic framework to take recoil into account is the worldline formalism, where fixed boundary conditions are replaced by dynamical D0-brane worldlines. We show that, in the worldline formalism, the divergences that plague the CFT are automatically cancelled in a non-trivial way. The amplitudes derived in the worldline formalism can be reproduced by deforming the CFT with a specific ``recoil operator'', which is bilocal and different from the ones previously suggested in the literature.

Additional Information

© 2006 SISSA Received 16 October 2006, accepted for publication 28 November 2006. Published 22 December 2006 We would like to thank J. Ambjørn for collaboration on the DBI approach to recoil and for many interesting discussions. We also thank C. Bachas, M. Gaberdiel, S. Gukov, A. Kapustin, A. Mikhailov, N. Nekrasov, B. Pioline, J. Schwarz and J. Troost for useful discussions. The work of B.C. was supported in part by Stichting FOM, by the Belgian Federal Science Policy Office through the Interuniversity Attraction Pole P5/27, by the European Commission FP6 RTN programme MRTN-CT-2004-005104 and by the "FWO-Vlaanderen" through project G.0428.06. B.C. thanks the organizers of the First Cambridge-Mitchell Texas Conference and of the 38th International Symposium Ahrenshoop for hospitality during the final stages of this work. S.N. was supported in part by the SRC Program of the KOSEF through the Center for Quantum Space-time (CQUeST) of Sogang University with grant number R11-2005-021. S.N. also thanks the Niels Bohr Institute, where part of the present work was done. E-print number: hep-th/0609216

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August 22, 2023
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