Radiative corrections and the Palatini action

F. T. Brandt and D. G. C. McKeon
Phys. Rev. D 93, 105037 – Published 24 May 2016

Abstract

By using the Faddeev-Popov quantization procedure, we demonstrate that the radiative effects computed using the first-order and second-order Einstein-Hilbert action for general relativity are the same, provided one can discard tadpoles. In addition, we show that the first-order form of this action can be used to obtain a set of Feynman rules that involves just two propagating fields and three three-point vertices; using these rules is considerably simpler than employing the infinite number of vertices that occur in the second-order form. We demonstrate this by computing the one-loop, two-point function.

  • Figure
  • Received 21 January 2016

DOI:https://doi.org/10.1103/PhysRevD.93.105037

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Particles & FieldsGravitation, Cosmology & Astrophysics

Authors & Affiliations

F. T. Brandt*

  • Instituto de Física, Universidade de São Paulo, São Paulo, São Paulo 05508-090, Brazil

D. G. C. McKeon

  • Department of Applied Mathematics, The University of Western Ontario, London, Ontario N6A 5B7, Canada and Department of Mathematics and Computer Science, Algoma University, Sault St.Marie, Ontario P6A 2G4, Canada

  • *fbrandt@usp.br
  • dgmckeo2@uwo.ca

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Vol. 93, Iss. 10 — 15 May 2016

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