4.6 Article

One-loop renormalization in Galileon effective field theory

Journal

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/1475-7516/2020/01/014

Keywords

modified gravity; quantum field theory on curved space

Funding

  1. European Research Council (ERC) under the European Unions Horizon 2020 research and innovation programme [801781]
  2. Swiss National Science Foundation [179740]

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We investigate the renormalization structure of scalar Galileons in flat spacetime. We explicitly calculate the ultraviolet divergent one-loop contributions to the 2-point, 3-point, 4-point, and 5-point functions. We discuss the structure of the counterterms and their hierarchy within an effective field theory expansion. We comment on different resummation schemes, including a geometric resummation for which our results could be generalized to arbitrary n-point functions.

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