Abstract
We compute the one loop graviton contribution to the self-energy of a very light fermion on a locally de Sitter background. This result can be used to study the effect that a small mass has on the propagation of fermions through the sea of infrared gravitons generated by inflation. We employ dimensional regularization and obtain a fully renormalized result by absorbing all divergences with Bogliubov-Parasuik-Hepp-Zimmermann counterterms. An interesting technical aspect of this computation is the need for two noninvariant counterterms owing to the breaking of de Sitter invariance by our gauge condition.
| Original language | English |
|---|---|
| Article number | 104051 |
| Pages (from-to) | 104051/1-104051/37 |
| Number of pages | 37 |
| Journal | Physical Review. D, Particles, Fields, Gravitation and Cosmology |
| Volume | 86 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 2012 |