Quantum corrections in Galileon theories

Oct 1, 2013
7 pages
Published in:
  • Phys.Rev.D 89 (2014) 12, 125017
  • Published: Jun 18, 2014
e-Print:
Report number:
  • CERN-PH-TH-2013-286

Citations per year

2014201620182020202202468
Abstract: (APS)
We calculate the one-loop quantum corrections in the cubic Galileon theory, by using cutoff regularization. We confirm the expected form of the one-loop effective action and that the couplings of the Galileon theory do not get renormalized. However, new terms, not included in the tree-level action, are induced by quantum corrections. We also consider the one-loop corrections in an effective brane theory, which belongs to the Horndeski or generalized Galileon class. We find that new terms are generated by quantum corrections, while the tree-level couplings are also renormalized. We conclude that the structure of the generalized Galileon theories is altered by quantum corrections more radically than that of the Galileon theory.
Note:
  • 8 pages; v2 minor typos corrected, references added; v3 minor clarifications; v4 version published in PRD
  • 11.10.-z
  • correction: quantum
  • Galileon
  • tree approximation
  • effective action
  • regularization
  • membrane model