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Quantum corrections to generic branes: DBI, NLSM, and more

  • Regular Article - Theoretical Physics
  • Open Access
  • Published: 26 January 2021
  • volume 2021, Article number: 159 (2021)
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Quantum corrections to generic branes: DBI, NLSM, and more
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  • Garrett Goon1,
  • Scott Melville2,3 &
  • Johannes Noller2,4 

  • 215 Accesses

  • 6 Citations

  • 1 Altmetric

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  • Cite this article

A preprint version of the article is available at arXiv.

Abstract

We study quantum corrections to hypersurfaces of dimension d + 1 > 2 embedded in generic higher-dimensional spacetimes. Manifest covariance is maintained throughout the analysis and our methods are valid for arbitrary co-dimension and arbitrary bulk metric. A variety of theories which are prominent in the modern amplitude literature arise as special limits: the scalar sector of Dirac-Born-Infeld theories and their multi-field variants, as well as generic non-linear sigma models and extensions thereof. Our explicit one-loop results unite the leading corrections of all such models under a single umbrella. In contrast to naive computations which generate effective actions that appear to violate the non-linear symmetries of their classical counterparts, our efficient methods maintain manifest covariance at all stages and make the symmetry properties of the quantum action clear. We provide an explicit comparison between our compact construction and other approaches and demonstrate the ultimate physical equivalence between the superficially different results.

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Authors and Affiliations

  1. Department of Physics, Carnegie Mellon University, 5000 Forbes Ave, Pittsburgh, PA, 15217, U.S.A.

    Garrett Goon

  2. Department of Applied Mathematics and Theoretical Physics, Cambridge University, Cambridge, CB3 0WA, U.K.

    Scott Melville & Johannes Noller

  3. Emmanuel College, University of Cambridge, St Andrews Street, Cambridge, CB2 3AP, U.K.

    Scott Melville

  4. Institute for Theoretical Studies, ETH Zürich, Clausiusstrasse 47, 8092, Zürich, Switzerland

    Johannes Noller

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  1. Garrett Goon
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Correspondence to Garrett Goon.

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Goon, G., Melville, S. & Noller, J. Quantum corrections to generic branes: DBI, NLSM, and more. J. High Energ. Phys. 2021, 159 (2021). https://doi.org/10.1007/JHEP01(2021)159

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  • Received: 27 October 2020

  • Revised: 30 November 2020

  • Accepted: 30 November 2020

  • Published: 26 January 2021

  • DOI: https://doi.org/10.1007/JHEP01(2021)159

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Keywords

  • Effective Field Theories
  • Global Symmetries
  • Renormalization Regularization and Renormalons
  • Space-Time Symmetries
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