Quantum Stability of Generalized Proca Theories
arXiv:2005.01639 · doi:10.1088/1361-6382/abd680
Abstract
We establish radiative stability of generalized Proca effective field theories. While standard powercounting arguments would conclude otherwise, we find non-trivial cancellations of leading order corrections by explicit computation of divergent one-loop diagrams up to four-point. These results are crosschecked against an effective action based generalized Schwinger-DeWitt method. Further, the cancellations are understood as coming from the specific structure of the theory through a decoupling limit analysis which at the same time allows for an extension of the results to higher orders.
References in corpus (79)
- Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
- Measurements of Omega and Lambda from 42 High-Redshift Supernovae
- Observation of Gravitational Waves from a Binary Black Hole Merger
- Dynamics of dark energy
- Modified Gravity and Cosmology
- The Confrontation between General Relativity and Experiment
- 4D Gravity on a Brane in 5D Minkowski Space
- The galileon as a local modification of gravity
- The Confrontation between General Relativity and Experiment
- Generalized G-inflation: Inflation with the most general second-order field equations
- Massive Gravity
- From k-essence to generalised Galileons
- Theoretical Aspects of Massive Gravity
- Covariant Galileon
- Everything You Always Wanted To Know About The Cosmological Constant Problem (But Were Afraid To Ask)
- Healthy theories beyond Horndeski
- Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
- Strong Interactions and Stability in the DGP Model
- Imperfect Dark Energy from Kinetic Gravity Braiding
- Nonperturbative Continuity in Graviton Mass versus Perturbative Discontinuity
- Classical and Quantum Consistency of the DGP Model
- The Stueckelberg Field
- An introduction to the Vainshtein mechanism
- 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
- Derivative self-interactions for a massive vector field
- Multi-field galileons and higher co-dimension branes
- Cosmology in generalized Proca theories
- Vainshtein screening in a cosmological background in the most general second-order scalar-tensor theory
- Generalized Proca action for an Abelian vector field
- Effective theory for the Vainshtein mechanism from the Horndeski action
- Beyond generalized Proca theories
- Nonlinear structure formation in the Cubic Galileon gravity model
- Effective gravitational couplings for cosmological perturbations in generalized Proca theories
- Non-Renormalization and Naturalness in a Class of Scalar-Tensor Theories
- Dark energy as a massive vector field
- Linear perturbations in Galileon gravity models
- Extended vector-tensor theories
- Quantum Corrections in Massive Gravity
- The Paths of Gravity in Galileon Cosmology
- Subluminal Galilean Genesis
- Spacetimes with vector distortion: Inflation from generalised Weyl geometry
- Screening fifth forces in generalized Proca theories
- Stability of Horndeski vector-tensor interactions
- The parameter space in Galileon gravity models
- Observational constraints on generalized Proca theories
- A no-go theorem for generalized vector Galileons on flat spacetime
- Generalized SU(2) Proca Theory
- Screening the fifth force in the Horndeski's most general scalar-tensor theories
- Scalar-Vector-Tensor Gravity Theories
- Generalized multi-Proca fields
- A general theory of linear cosmological perturbations: scalar-tensor and vector-tensor theories
- Cosmology for quadratic gravity in generalized Weyl geometry
- Galileons on Trial
- Aspects of Galileon Non-Renormalization
- Matter bispectrum in cubic Galileon cosmologies
- Covariantised Vector Galileons
- Constraints on f(R) theory and Galileons from the latest data of galaxy redshift surveys
- Experimental constraints on the uncoupled Galileon model from SNLS3 data and other cosmological probes
- Stable solutions of inflation driven by vector fields
- Anisotropic cosmological solutions in massive vector theories
- Screening Vector Field Modifications of General Relativity
- Quantum corrections in Galileon theories
- One-loop divergences in the Galileon model
- Non-Abelian -term dark energy and inflation
- The Maxwell-Proca theory: definition and construction
- Renormalization of generalized vector field models in curved spacetime
- Generalized Proca and its Constraint Algebra
- The role of vector fields in modified gravity scenarios
- Horndeski under the quantum loupe
- One-loop renormalization in Galileon effective field theory
- One-loop corrections to vector Galileon theory
- Spontaneous "Scalar-Vector Galileons" from "Weyl bi-Connection" model
- Geometrized quantum Galileons
- Absence of solid angle deficit singularities in beyond-generalized Proca theories
- Galileon-like vector fields
- Quantum Gravity and Precision Tests
Cited by in corpus (8)
- A Lagrangian constraint analysis of first order classical field theories with an application to gravity
- Cosmology of Extended Proca-Nuevo
- Positivity bounds in vector theories
- Quantum stability of Proca-Nuevo
- To Half--Be or Not To Be?
- Symplectic quantization of multi-field Generalized Proca electrodynamics
- Non-minimal non-Abelian quantum vector fields in curved spacetime
- New effective theories of gravitation and their phenomenological consequences