Abstract
The implications of the recently proposed Trans-Planckian censorship conjecture (TCC) are analyzed in the context of warm inflation. It is found that for a single-stage accelerated expansion the constraints imposed by the censorship are roughly the same as for cold inflation. Next, we study how a two-stage inflationary expansion with an intermediate radiation-dominated era can alleviate the bounds imposed by the censorship. For a demonstrative toy model we found $r<10^{-23}$, but can be $r<10^{-5}$ for a weaker form of TCC for the later stages of expansion, while still satisfying the other swampland conditions.
Highlights
Inflation remains to this day as the most plausible mechanism to explain the large scale structure of the universe and the anisotropies in the cosmic microwave background [1,2]
In this article we have studied the implications of the recently proposed trans-Planckian censorship conjecture within the warm inflation scenario
We have shown that for a single stage inflation the bounds on the energy scale of inflation are roughly the same as for cold inflation, there can be some small differences because warm inflation can be realized with steep potentials
Summary
Inflation remains to this day as the most plausible mechanism to explain the large scale structure of the universe and the anisotropies in the cosmic microwave background [1,2]. From a field theory perspective it has been proven difficult to keep radiative corrections to the effective potential under control so that the required flatness of the potential do not get spoiled (the eta problem) Another complication is related to the fact that if inflation lasted long enough, present-day perturbative modes could be traced back to sub-Planckian wavelengths during inflation, raising questions about the validity of its predictions, since physics at those scales is not understood. A different route is to consider nonsingular bouncing cosmologies or other preinflationary models where one can keep observational relevant scales far from sub-Planckian wavelengths, yielding to negligible corrections from TP physics [14] These are considered past-complete extensions to the inflationary paradigm, such that the perturbations can be safely assumed to begin in the standard Bunch-Davies state [15]. We point out that if one relaxes the TCC for later stages, the bound on the amplitude of tensor perturbations can be alleviated by several orders of magnitude
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