# Statistical anisotropy of the curvature perturbation from vector field perturbations.

@article{Dimopoulos2008StatisticalAO, title={Statistical anisotropy of the curvature perturbation from vector field perturbations.}, author={Konstantinos Dimopoulos and Mindaugas Kar{\vc}iauskas and David H. Lyth and Yeinzon Rodriguez Department of Physics Lancaster University and Centro de Investigaciones Universidad Antonio Narino and Escuela de Fisica Universidad Industrial de Santander}, journal={Journal of Cosmology and Astroparticle Physics}, year={2008}, volume={2009}, pages={013-013} }

The δN formula for the primordial curvature perturbation ζ is extended to include vector as well as scalar fields. Formulas for the tree-level contributions to the spectrum and bispectrum of ζ are given, exhibiting statistical anisotropy. The one-loop contribution to the spectrum of ζ is also worked out. We then consider the generation of vector field perturbations from the vacuum, including the longitudinal component that will be present if there is no gauge invariance. Finally, the δN formula…

## 170 Citations

### The primordial curvature perturbation from vector fields of general non-Abelian groups

- Physics
- 2012

We consider the generation of primordial curvature perturbation by general non-Abelian vector fields without committing to a particular group. Self-interactions of non-Abelian fields make the field…

### The primordial curvature perturbation from vector fields of general non-Abelian groups

- Physics
- 2012

We consider the generation of primordial curvature perturbation by general non-Abelian vector fields without committing to a particular group. Self-interactions of non-Abelian fields make the field…

### Curvature Perturbations in Anisotropic Inflation with Symmetry Breaking

- Physics
- 2013

We study curvature perturbations in the anisotropic inflationary model with a complex scalar field charged under a $U(1)$ gauge field in Bianchi I universe. Due to Abelian Higgs mechanism, the gauge…

### Anisotropic Bispectrum of Curvature Perturbations from Primordial Non-Abelian Vector Fields

- Physics
- 2009

We consider a primordial SU(2) vector multiplet during inflation in models where quantum fluctuations of vector fields are involved in producing the curvature perturbation. Recently, a lot of…

### Anisotropic bispectrum of curvature perturbations from primordial non-Abelian vector fields

- Physics
- 2009

We consider a primordial SU(2) vector multiplet during inflation in models where quantum fluctuations of vector fields are involved in producing the curvature perturbation. Recently, a lot of…

### Effective field theory of statistical anisotropies for primordial bispectrum and gravitational waves

- Physics
- 2017

We present the effective field theory studies of primordial statistical anisotropies in models of anisotropic inflation. The general action in unitary gauge is presented to calculate the leading…

### The statistically anisotropic curvature perturbation generated by f2(ϕ)FμνFμν

- Physics
- 2013

The inflaton might be coupled to a gauge field through a term f2(ϕ)FμνFμν. If f∝a−2 where a(t) is the scale factor, the perturbation δW of the gauge field generates a potentially observable…

### Charged vector inflation

- PhysicsPhysical Review D
- 2019

We present a model of inflation in which the inflaton field is charged under a triplet of $U(1)$ gauge fields. The model enjoys an internal $O(3)$ symmetry supporting the isotropic FRW solution. With…

### The statistically anisotropic curvature perturbation generated by f(\phi)^2 F^2

- Physics
- 2013

The inflaton might be coupled to a gauge field through a term f2()FμνFμν. If f∝a−2 where a(t) is the scale factor, the perturbation δW of the gauge field generates a potentially observable…

## References

SHOWING 1-10 OF 83 REFERENCES

### Cosmological perturbations from vector inflation

- Physics
- 2009

We analyze the behavior of linear perturbations in vector inflation. In contrast to scalar field inflation, the linearized theory with vector fields contains couplings between scalar, vector, and…

### Primordial statistical anisotropy generated at the end of inflation

- Physics
- 2008

We present a new mechanism for generating primordial statistical anisotropy of curvature perturbations. We introduce a vector field which has a non-minimal kinetic term and couples with a waterfall…

### Can a vector field be responsible for the curvature perturbation in the Universe

- Physics
- 2006

I investigate the possibility that the observed curvature perturbation is due to a massive vector field. To avoid generating a large scale anisotropy the vector field is not taken to be driving…

### Anisotropic non-Gaussianity from vector field perturbations

- Physics
- 2009

We suppose that a vector field perturbation causes part of the primordial curvature perturbation. The non-Gaussianity parameter f_NL is then, in general, statistically anisotropic. We calculate its…

### Can we see Lorentz-violating vector fields in the CMB?

- Physics
- 2004

We investigate the perturbation theory of a fixed-norm, timelike Lorentz-violating vector field. After consistently quantizing the vector field to put constraints on its parameters, we compute the…

### Supergravity inspired Vector curvaton

- Physics
- 2007

It is investigated whether a massive Abelian vector field, whose gauge kinetic function is growing during inflation, can be responsible for the generation of the curvature perturbation in the…

### Non-minimally coupled vector curvaton

- Physics
- 2008

It is shown that a massive Abelian vector boson field can generate the curvature perturbation in the Universe, when coupled non-minimally to gravity, through an RA2 coupling. The vector boson acts as…

### Gravitational waves in vector inflation

- Physics
- 2008

We discuss the gravitational waves (GW) in the context of vector inflation. We derive the action for tensor perturbations and find that tachyonic instabilities are present in most (but not all) of…