Generalizing Starobinskii's Formalism to Yukawa Theory & to Scalar QED
R. P. Woodard (University of Florida)
TL;DR
This paper extends Starobinski2f's nonperturbative resummation technique from simple scalar theories to more complex models like Yukawa theory and scalar QED, addressing quantum effects during inflation.
Contribution
It generalizes Starobinski2f's formalism to include Yukawa interactions and scalar QED, enabling analysis of quantum effects in these more complex inflationary models.
Findings
Successful extension of the formalism to Yukawa theory
Application to scalar QED with promising results
Enhanced understanding of quantum effects during inflation
Abstract
During inflation quantum effects from massless, minimally coupled scalars and gravitons can be strengthened so much that perturbation theory breaks down. To follow the subsequent evolution one must employ a nonperturbative resummation. Starobinski\u{\i} has developed such a technique for simple scalDuring inflation quantum effects from massless, minimally coupled scalars and gravitons can be strengthened so much that perturbation theory breaks down. To follow the subsequent evolution one must employ a nonperturbative resummation. Starobinski\u{\i} has developed such a technique for simple scalar theories. I discuss recent progress in applying this technique to more complicated models.
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