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We propose a model for inflation consisting of an axionic scalar field coupled to a set of three non-Abelian gauge fields.
A. Maleknejad and M. Sheikh-Jabbari, Phys.Rev., D84
1932
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D. V. Gal’tsov and E. A. Davydov, Proc.Steklov Inst.Math., 272
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The authors of [ 13 , 14 ] found that inflation can proceed if the gauge VEV equation of motion is dominated by a self-interaction term of the form ( F \mathaccentV t i l d e 07 E F ) 2 (F\mathaccentV{tilde}07E{F})^{2} ; similar configurations are studied in [ 8 , 17 ] ; see also [ 18 ] . These scenarios require higher dimension operators to dominate dimension four operators. We can realize such a situation in our model by integrating the axion near the bottom of its potential. In this sense, the model of [ 13 , 14 ] is equivalent to ours near the bottom of the axion potential
Cited in the paper.
We have verified that this field configuration is classically stable against homogeneous fluctuations [ 16 ] . It is also known that classical configurations of chromo-electric and magnetic fields are unstable to quantum fluctuations within the context of QCD [ 19 , 20 ] . However, our case is different enough that these QCD instabilities are not immediately applicable to our case
Cited in the paper.
Our proposal is similar to that of [ 12 ] , who achieve a phase of slow roll inflation on a steep axion potential via electro-magnetic dissipation. While [ 12 ] relies on a quantum back-reaction of the photons on the axion condensate to slow the rolling, our proposal imparts this effect at the classical level. Nonetheless, it is important to check whether the particle production that leads to difficulties in their model is under control in ours. In the model at hand, the key parameter, ξ \xi , is below the bound of ξ < 4.7 \xi<4.7 found in [ 21 ] (here ξ ≃ 2.5 \xi\simeq 2.5 ) during the observable epoch. While the model at hand is non-Abelian, since we work in the weakly coupled regime, we expect similar bounds to apply. We note that this is a value associated with observable non-Gaussianities in the treatment of [ 21 ]
Cited in the paper.
A. Maleknejad and M. Sheikh-Jabbari, (2011a), arXiv:1102.1513 [hep-ph]
Cited in the paper.
P. Adshead and M. Wyman, in prep
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D. Gal’tsov and E. Davydov, (2011b), arXiv:1112.2943
Cited in the paper.
M. M. Anber and L. Sorbo, Phys.Rev., D81
2010
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N. Barnaby and M. Peloso, Phys.Rev.Lett., 106
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S. Alexander, A. Marciano, and D. Spergel, (2011), arXiv:1107.0318 [hep-th]
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N. Barnaby, E. Pajer, and M. Peloso, Phys.Rev., D85
2012
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