Effective Field Theory of Chiral Gravitational Waves

Abstract

When a (non-)Abelian gauge field acquires an isotropic background configuration during inflation, strong gravitational waves (GWs) with parity-violating polarization, known as chiral GWs, can be produced in addition to the intrinsic unpolarized GWs. However, previous studies have analyzed individual models, leaving the generality of this phenomenon unclear. To perform a model-independent analysis, we construct an effective field theory (EFT) of chiral GWs by extending the EFT of inflation and incorporating gauge fields. The resulting action unifies inflationary models with a $SU(2)$ gauge field, such as chromo-natural inflation and gauge-flation, and ones with a triplet of $U(1)$ gauge fields, systematically encompassing all possible GW production mechanisms consistent with the symmetry breaking induced by the gauge field background. We find that chiral GWs are generically and inevitably produced, provided that the effective energy density of the background gauge field is positive and the gauge kinetic function is not fine-tuned to a specific time dependence. This EFT offers a useful foundation for future phenomenological studies as well as for deepening our theoretical understanding of chiral GWs.

30 pages

References in corpus (69)

• Planck 2018 results. X. Constraints on inflation
• The Simons Observatory: Science goals and forecasts
• The Effective Field Theory of Inflation
• Signature of Gravity Waves in Polarization of the Microwave Background
• A Probe of Primordial Gravity Waves and Vorticity
• The NANOGrav 15-year Data Set: Search for Signals from New Physics
• Chern-Simons Modification of General Relativity
• Cosmological Signature of New Parity-Violating Interactions
• Starting the Universe: Stable Violation of the Null Energy Condition and Non-standard Cosmologies
• The Effective Field Theory of Dark Energy
• Mission design of LiteBIRD
• Inflationary Universe with Anisotropic Hair
• Large Nongaussianity in Axion Inflation
• Chromo-Natural Inflation: Natural inflation on a steep potential with classical non-Abelian gauge fields
• Parity violation in the Cosmic Microwave Background from a pseudoscalar inflaton
• Solid Inflation
• N-flationary magnetic fields
• Effective field theory approach to quasi-single field inflation and effects of heavy fields
• The Effective Field Theory of Multifield Inflation
• Non-Abelian Gauge Field Inflation
• Gauge field production in SUGRA inflation: local non-Gaussianity and primordial black holes
• New positivity bounds from full crossing symmetry
• Extremal Effective Field Theories
• Gauge Fields and Inflation: Chiral Gravitational Waves, Fluctuations and the Lyth Bound
• Primordial Gravitational Waves from Axion-Gauge Fields Dynamics
• Perturbations in Chromo-Natural Inflation
• Stability analysis of chromo-natural inflation and possible evasion of Lyth's bound
• Resilience of the standard predictions for primordial tensor modes
• Sensitivity to a Frequency-Dependent Circular Polarization in an Isotropic Stochastic Gravitational Wave Background
• Testing Parity-Violating Mechanisms with Cosmic Microwave Background Experiments
• Higher Curvature Corrections to Primordial Fluctuations in Slow-roll Inflation
• Finding the chiral gravitational wave background of an axion-SU(2) inflationary model using CMB observations and laser interferometers
• Dissipative effects in the Effective Field Theory of Inflation
• Effective Field Theory and Decoupling in Multi-field Inflation: An Illustrative Case Study
• Large Tensor Non-Gaussianity from Axion-Gauge Fields Dynamics
• Axion Gauge Field Inflation and Gravitational Leptogenesis: A Lower Bound on B Modes from the Matter-Antimatter Asymmetry of the Universe
• Weakly Broken Galileon Symmetry
• Higgsed Chromo-Natural Inflation
• Parity violation in the CMB bispectrum by a rolling pseudoscalar
• Inflation with Multi-Vector-Hair: The Fate of Anisotropy
• Chiral Primordial Gravitational Waves from Dilaton Induced Delayed Chromo-natural Inflation
• Measuring the net circular polarization of the stochastic gravitational wave background with interferometers
• Gauge-flation confronted with Planck
• Anisotropic Inflation with Non-Abelian Gauge Kinetic Function
• Schwinger Effect by an $SU(2)$ Gauge Field during Inflation
• Chromo-Natural Model in Anisotropic Background
• Non-Gaussianity from Axion-Gauge Fields Interactions during Inflation
• Emerging chromo-natural inflation
• Higgsed Gauge-flation
• Nonlinear perturbations from axion-gauge fields dynamics during inflation
• Nonlinear perturbations from the coupling of the inflaton to a non-Abelian gauge field, with a focus on Chromo-Natural Inflation
• The Open Effective Field Theory of Inflation
• Primordial Statistical Anisotropies: The Effective Field Theory Approach
• Gaugid inflation
• Effective field theory of time-translational symmetry breaking in nonequilibrium open system
• Backreaction of axion-SU(2) dynamics during inflation
• LiteBIRD Science Goals and Forecasts. A Case Study of the Origin of Primordial Gravitational Waves using Large-Scale CMB Polarization
• The isotropic attractor solution of axion-SU(2) inflation: Universal isotropization in Bianchi type-I geometry
• On chromonatural inflation in string theory
• Tensor Spectra Templates for Axion-Gauge Fields Dynamics during Inflation
• Charged Vector Inflation
• Universality of linear perturbations in SU($N$)-natural inflation
• Effective field theory of statistical anisotropies for primordial bispectrum and gravitational waves
• Effective Field Theory of Gravitating Continuum: Solids, Fluids, and Aether Unified
• SU($N$)-natural inflation
• Effective Field Theory of Anisotropic Inflation and Beyond
• Cosmic No-hair Conjecture and Inflation with an SU(3) Gauge Field
• Chromo-natural inflation supported by enhanced friction from Horndeski gravity
• How does SU($N$)-natural inflation isotropize the universe?

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