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I. Bendixson, Sur les courbes définies par des équations différentielles
1901
Earlier work this paper cites.
A. Maleknejad and M. M. Sheikh-Jabbari, Non-Abelian Gauge Field Inflation
Original
1932
Earlier work this paper cites.
F. W. J. Olver, Second-order linear differential equations with two turning points
1975
Earlier work this paper cites.
F. W. J. Olver, Whittaker functions with both parameters large: uniform approximations in terms of parabolic cylinder functions
1980
Earlier work this paper cites.
A. H. Guth, The Inflationary Universe: A Possible Solution to the Horizon and Flatness Problems
1981
Earlier work this paper cites.
A. H. Guth and S.-Y. Pi, The Quantum Mechanics of the Scalar Field in the New Inflationary Universe
1985
Earlier work this paper cites.
M. S. Turner and L. M. Widrow, Inflation Produced, Large Scale Magnetic Fields
1988
Earlier work this paper cites.
Y. Verbin and A. Davidson, Quantized Nonabelian Wormholes
1989
Earlier work this paper cites.
W. D. Garretson, G. B. Field, and S. M. Carroll, Primordial magnetic fields from pseudoGoldstone bosons
1992
Earlier work this paper cites.
M. S. Turner, M. J. White, and J. E. Lidsey, Tensor perturbations in inflationary models as a probe of cosmology
1993
Earlier work this paper cites.
Springer-Verlag, Berlin, 1994
I. R. Shafarevich, Basic algebraic geometry. 1. Varieties in projective space. Translated from the 1988 Russian edition and with notes by Miles Reid · 1994
Earlier work this paper cites.
AK Peters/CRC Press, 1997
F. W. J. Olver, Asymptotics and special functions · 1997
Earlier work this paper cites.
M. Maggiore, Gravitational wave experiments and early universe cosmology
2000
Earlier work this paper cites.
N. Seto and J. Yokoyama, Probing the equation of state of the early universe with a space laser interferometer
2003
Earlier work this paper cites.
Cambridge University Press, 2003
S. Mukai, An introduction to invariants and moduli · 2003
Earlier work this paper cites.
M. M. Anber and L. Sorbo, N-flationary magnetic fields
2006
Earlier work this paper cites.
T. L. Smith, M. Kamionkowski, and A. Cooray, Direct detection of the inflationary gravitational wave background
2006
Earlier work this paper cites.
M. M. Anber and L. Sorbo, Naturally inflating on steep potentials through electromagnetic dissipation
Original
2010
Earlier work this paper cites.
PhD thesis, MIT, 2010
B. Mares, Some analytic aspects of Vafa–Witten twisted 𝒩 = 4 \mathcal{N}=4 supersymmetric Yang–Mills Theory · 2010
Earlier work this paper cites.
N. Barnaby and M. Peloso, Large Nongaussianity in Axion Inflation
Original
2011
Earlier work this paper cites.

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Then

A. Maleknejad, M. M. Sheikh-Jabbari, and J. Soda, Gauge Fields and Inflation
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2013
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A. Maleknejad and E. Erfani, Chromo-Natural Model in Anisotropic Background
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2018

Emerging chromo-natural inflation

Domcke, Valerie, Mares, Ben, Muia, Francesco et al.

Understand

The shift-symmetric coupling of a pseudo-scalar particle driving inflation to gauge fields provides a unique way of probing cosmic inflation.

We show for an SU(2) gauge group how a classical isotropic background gauge field develops from the standard quantum mechanical vacuum in the far past.
Over the course of inflation, the theory dynamically evolves from an approximately abelian regime into an inherently non-abelian regime, with distinct predictions for the scalar and tensor power spectra.
The latter regime closely resembles a setup known as chromo-natural inflation, although our main focus here is on a new part of the parameter space which has received little attention so far.

Built on

I. Bendixson, Sur les courbes définies par des équations différentielles
1901
Earlier work this paper cites.
A. Maleknejad and M. M. Sheikh-Jabbari, Non-Abelian Gauge Field Inflation
Original
1932
Earlier work this paper cites.
F. W. J. Olver, Second-order linear differential equations with two turning points
1975
Earlier work this paper cites.
F. W. J. Olver, Whittaker functions with both parameters large: uniform approximations in terms of parabolic cylinder functions
1980
Earlier work this paper cites.
A. H. Guth, The Inflationary Universe: A Possible Solution to the Horizon and Flatness Problems
1981
Earlier work this paper cites.
A. H. Guth and S.-Y. Pi, The Quantum Mechanics of the Scalar Field in the New Inflationary Universe
1985
Earlier work this paper cites.
M. S. Turner and L. M. Widrow, Inflation Produced, Large Scale Magnetic Fields
1988
Earlier work this paper cites.
Y. Verbin and A. Davidson, Quantized Nonabelian Wormholes
1989
Earlier work this paper cites.
W. D. Garretson, G. B. Field, and S. M. Carroll, Primordial magnetic fields from pseudoGoldstone bosons
1992
Earlier work this paper cites.
M. S. Turner, M. J. White, and J. E. Lidsey, Tensor perturbations in inflationary models as a probe of cosmology
1993
Earlier work this paper cites.
Springer-Verlag, Berlin, 1994
I. R. Shafarevich, Basic algebraic geometry. 1. Varieties in projective space. Translated from the 1988 Russian edition and with notes by Miles Reid · 1994
Earlier work this paper cites.
AK Peters/CRC Press, 1997
F. W. J. Olver, Asymptotics and special functions · 1997
Earlier work this paper cites.
M. Maggiore, Gravitational wave experiments and early universe cosmology
2000
Earlier work this paper cites.
N. Seto and J. Yokoyama, Probing the equation of state of the early universe with a space laser interferometer
2003
Earlier work this paper cites.
Cambridge University Press, 2003
S. Mukai, An introduction to invariants and moduli · 2003
Earlier work this paper cites.
M. M. Anber and L. Sorbo, N-flationary magnetic fields
2006
Earlier work this paper cites.
T. L. Smith, M. Kamionkowski, and A. Cooray, Direct detection of the inflationary gravitational wave background
2006
Earlier work this paper cites.
M. M. Anber and L. Sorbo, Naturally inflating on steep potentials through electromagnetic dissipation
Original
2010
Earlier work this paper cites.
PhD thesis, MIT, 2010
B. Mares, Some analytic aspects of Vafa–Witten twisted 𝒩 = 4 \mathcal{N}=4 supersymmetric Yang–Mills Theory · 2010
Earlier work this paper cites.
N. Barnaby and M. Peloso, Large Nongaussianity in Axion Inflation
Original
2011
Earlier work this paper cites.