One-loop renormalization in Galileon effective field theory

Abstract

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.

14 pages; typos corrected, references updated, published in JCAP; the divergent off-shell contributions to the 1PI one-loop diagrams for the 2-point, 3-point, 4-point, and 5-point functions are provided in an ancillary file (txt format)

References in corpus (47)

• f(R) Theories Of Gravity
• Modified Gravity and Cosmology
• f(R) theories
• 4D Gravity on a Brane in 5D Minkowski Space
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• The galileon as a local modification of gravity
• Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
• Self-Interaction and Gauge Invariance
• Classical and Quantum Consistency of the DGP Model
• Scattering Equations and Matrices: From Einstein To Yang-Mills, DBI and NLSM
• Generalization of the Proca Action
• A systematic approach to generalisations of General Relativity and their cosmological implications
• Vector Inflation
• Cosmic Acceleration from Abelian Symmetry Breaking
• Effective Field Theories from Soft Limits
• Derivative self-interactions for a massive vector field
• Multi-field galileons and higher co-dimension branes
• Cosmic Acceleration and the Helicity-0 Graviton
• Question of quantum equivalence between Jordan frame and Einstein frame
• On-Shell Recursion Relations for Effective Field Theories
• A Periodic Table of Effective Field Theories
• Generalized Proca action for an Abelian vector field
• The renormalization group for non-renormalizable theories: Einstein gravity with a scalar field
• Non-Renormalization and Naturalness in a Class of Scalar-Tensor Theories
• Vector theories in cosmology
• Weakly Broken Galileon Symmetry
• Tree-level Amplitudes in the Nonlinear Sigma Model
• One-loop divergences for gravity non-minimally coupled to a multiplet of scalar fields: calculation in the Jordan frame. I. The main results
• One loop renormalization of the four-dimensional theory for quantum dilaton gravity.
• Simple Recursion Relations for General Field Theories
• Quantum equivalence of $f(R)$ gravity and scalar-tensor theories
• Scalar-Vector-Tensor Gravity Theories
• Quantum Effects in Softly Broken Gauge Theories in Curved Space-Times
• UV considerations on scattering amplitudes in a web of theories
• Unification of Galileon Dualities
• Quantum corrections in Galileon theories
• One-loop divergences in the Galileon model
• One-loop divergences for $f(R)$ gravity
• Stueckelberg massive electromagnetism in curved spacetime: Hadamard renormalization of the stress-energy tensor and the Casimir effect
• Quantum Corrections in Galileons from Matter Loops
• Renormalization of generalized vector field models in curved spacetime
• Massive vector field on curved background: non-minimal coupling, quantization and divergences
• Suppression of Quantum Corrections by Classical Backgrounds
• Local momentum space and the vector field
• Quantum effective action for degenerate vector field theories
• Combinatorial aspects in the one-loop renormalization of higher derivative theories
• Quantization of the minimal and non-minimal vector field in curved space

Cited by in corpus (14)

• A Lagrangian constraint analysis of first order classical field theories with an application to gravity
• Horndeski under the quantum loupe
• Quantum Stability of Generalized Proca Theories
• Geometrized quantum Galileons
• Towards a unitary, renormalizable and ultraviolet-complete quantum theory of gravity
• Unveiling the Galileon in a three-body system : scalar and gravitational wave production
• Quantum stability of Proca-Nuevo
• Covariant quantum corrections to a scalar field model inspired by nonminimal natural inflation
• Special Galileon at one loop
• Topological mass generation and $2-$forms
• The weak-gravity bound and the need for spin in asymptotically safe matter-gravity models
• Non-perturbative quantum Galileon in the exact renormalization group
• Steady state of fast-oscillating neutrinos in an inhomogeneous medium
• Covariant Quantum Gravitational Corrections to Scalar and Tensor Field Models