“School of Physic”
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| Paper IPM / Physic / 16569 |
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We study the observational predictions of the phenomenological AdS/QCD inspired model, in which the inflaton field emerges in a four dimensional strongly coupled gauge theory, in which the chiral symmetry breaking occurs through the formation of quark condensate. Based on a top-down approach of AdS/QCD, using a D7 brane in the background of Nc D3 branes, it has already been shown that chiral symmetry breaking in a magnetic field through the generation of Higgs vacuum expectation value could be a second order phase transition, although it was doubted that this scenario could lead to enough amount of inflation. Using an iterative method, we consistently solve for the time-dependent parameters, including the embedding function of the D7 brane and the Hubble parameter of the expanding background. We show that with Nc ∼ 107 and gUV ∼ few×0.1, the predictions of the inflationary model is consistent with the most stringent constraints placed on the inflationary models by Planck 2018. Although the model is capable of producing a large amount of gravitational waves, r ≅ 0.01, the displacement of the canonical mass dimension one scalar field remains below the Planck mass in violation of the Lyth bound.
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