Abstract
In this paper, we investigate the dynamics of the confinement-deconfinement phase transition in a toy model where the walking dynamics is realized perturbatively. We study the properties of the phase transition focusing on the possible cosmological signatures it can provide. Interestingly the model is well under perturbative control only when the mass of the lightest field — the dilaton/scalon is much lighter than the rest of the fields and the phase transition proceeds slowly leading to strong signals in the stochastic gravitational wave spectrum.
Highlights
In this paper, we investigate the dynamics of the confinement-deconfinement phase transition in a toy model where the walking dynamics is realized perturbatively
The model is well under perturbative control only when the mass of the lightest field — the dilaton/scalon is much lighter than the rest of the fields and the phase transition proceeds slowly leading to strong signals in the stochastic gravitational wave spectrum
From (2.4), we can see that the smallness of the imaginary part is controlled by xs, on the other hand xf enters only to set the order of magnitude of the couplings λ ∼ f ∼ h via the Banks-Zaks condition
Summary
We will consider the model proposed recently in [23] as a toy model with Perturbative Walking Dynamics (PWD). Solving the running equations numerically, we see that, once the system exits the walking regime, the coupling combination f + h becomes negative, making the whole theory unstable This triggers the development of the global and gauge symmetry breaking, which is an analogue of the confinement process in our toy model. To test the different regimes of the model, we will consider five sample points, keeping the same number of scalars and colors, but varying the number of fermions All of those reference points (see table 3 for the definitions) are required to lead to the UV free theory and to present a walking regime. Note that the “walking range” for all of those points is well beyond what is needed for the Planck/weak hierarchy to be connected
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