One-loop corrections to vector Galileon theory

Abstract

The effective action of the recently proposed vector Galileon theory is considered. Using the background field method, we obtain the one-loop correction to the propagator of the Proca field from vector Galileon self-interactions. Contrary to the so-called scalar Galileon interactions, the two-point function of the vector field gets renormalized at the one-loop level, indicating that there is no non-renormalization theorem in the vector Galileon theory. Using dimensional regularization, we remove the divergences and obtain the counterterms of the theory. The finite term is analytically calculated, which modifies the propagator and the mass term and generates some new terms also.

10 pages

References in corpus (22)

• Covariant Galileon
• Healthy theories beyond Horndeski
• G-inflation: inflation driven by the Galileon field
• Galilean Genesis: an alternative to inflation
• Galileon Cosmology
• Galileon inflation
• Multi-field galileons and higher co-dimension branes
• Observational constraints on Galileon cosmology
• Non-Renormalization and Naturalness in a Class of Scalar-Tensor Theories
• Galileons as Wess-Zumino Terms
• Counting the degrees of freedom of generalized Galileons
• Slowly rotating black hole solutions in Horndeski gravity
• Charged Galileon black holes
• Covariantised Vector Galileons
• Cosmology in generalized Horndeski theories with second-order equations of motion
• UV properties of Galileons: Spectral Densities
• Quantum Corrections in Galileons from Matter Loops
• Cosmology of a Lorentz violating Galileon theory
• Spontaneous "Scalar-Vector Galileons" from "Weyl bi-Connection" model
• Can Galileons solve the muon problem?
• Galileons as the Scalar Analogue of General Relativity
• On extended symmetries for the Galileon

Cited by in corpus (15)

• On the 4D generalized Proca action for an Abelian vector field
• Positivity Constraints for Pseudo-linear Massive Spin-2 and Vector Galileons
• On the (A)dS Decoupling Limits of Massive Gravity
• An exact solution for a rotating black hole in modified gravity
• Massive vector field on curved background: non-minimal coupling, quantization and divergences
• Stealth configurations in vector-tensor theories of gravity
• Cosmological implications of Rastall-$f(R)$ theory
• Quantum Stability of Generalized Proca Theories
• Quantum corrections to the generalized Proca theory via a matter field
• Shift-Symmetric Spin-1 Theories
• Gravitational Properties of the Proca Field
• Cosmology of a higher derivative scalar theory with non-minimal Maxwell coupling
• Anisotropy in constraint 4D Gauss-Bonnet gravity
• Axionic extension of the Proca action
• Symplectic quantization of multi-field Generalized Proca electrodynamics