Quantum corrections for the cubic Galileon in the covariant language

Abstract

We present for the first time an explicit exposition of quantum corrections within the cubic Galileon theory including the effect of quantum gravity, in a background- and gauge-invariant manner, employing the field-reparametrisation approach of the covariant effective action at 1-loop. We show that the consideration of gravitational effects in combination with the non-linear derivative structure of the theory reveals new interactions at the perturbative level, which manifest themselves as higher-operators in the associated effective action, which' relevance is controlled by appropriate ratios of the cosmological vacuum and the Galileon mass scale. The significance and concept of the covariant approach in this context is discussed, while all calculations are explicitly presented.

18 pages plus references, 1 figure

References in corpus (14)

• Resummation of Massive Gravity
• Covariant Galileon
• Avoiding Dark Energy with 1/R Modifications of Gravity
• G-inflation: inflation driven by the Galileon field
• Galilean Genesis: an alternative to inflation
• Galileon Cosmology
• Galileon inflation
• DBI and the Galileon reunited
• Cosmological constant and quantum gravitational corrections to the running fine structure constant
• The phase diagram of quantum gravity from diffeomorphism-invariant RG-flows
• Unitarity and the Vainshtein Mechanism
• Quantum gravity, gauge coupling constants, and the cosmological constant
• Quantum Corrections in Galileons from Matter Loops
• Quantum corrections to the generalized Proca theory via a matter field

Cited by in corpus (17)

• Strong constraints on cosmological gravity from GW170817 and GRB 170817A
• Alive and well: mimetic gravity and a higher-order extension in light of GW170817
• Mimicking dark matter and dark energy in a mimetic model compatible with GW170817
• The Well-Tempered Cosmological Constant
• Geometrized quantum Galileons
• Galileon intermediate inflation
• Covariant Effective Action for Antisymmetric Tensor Field
• Covariant quantum corrections to a scalar field model inspired by nonminimal natural inflation
• Special Galileon at one loop
• Anti-screening of the Galileon force around a disk center hole
• Vainshtein in the UV and a Wilsonian analysis of derivatively coupled scalars
• Cosmology of a higher derivative scalar theory with non-minimal Maxwell coupling
• Covariant Effective Action for Scalar-Tensor Theories of Gravity
• Fab Four self-interaction in quantum regime
• The weak-gravity bound and the need for spin in asymptotically safe matter-gravity models
• Non-perturbative quantum Galileon in the exact renormalization group
• Covariant Quantum Gravitational Corrections to Scalar and Tensor Field Models