The Quantum-Corrected Fermion Mode Function during Inflation
| dc.creator | Miao, Shun-Pei | |
| dc.date | 2007-05-05 | |
| dc.date.accessioned | 2026-07-07T07:59:42Z | |
| dc.date.available | 2026-07-07T07:59:42Z | |
| dc.description | My project computed the one loop fermion self-energy for massless Dirac + Einstein in the presence of a locally de Sitter background. I employed dimensional regularization and obtain a fully renormalized result by absorbing all divergences with Bogliubov, Parasiuk, Hepp and Zimmermann (BPHZ) counterterms. An interesting technical aspect of my computation was the need for a noninvariant counterterm, owing to the breaking of de Sitter invariance by our gauge condition. I also solved the effective Dirac equation for massless fermions during inflation in the simplest gauge, including all one loop corrections from quantum gravity. At late times the result for a spatial plane wave behaves as if the classical solution were subjected to a time-dependent field strength renormalization of Z_2(t) = 1 - 17(4 pi) *G H^2 *ln(a) + O(G^2). I showed that this also follows from making the Hartree approximation, although the numerical coefficients differ. | |
| dc.description | Ph.D. thesis | |
| dc.identifier | https://arxiv.org/abs/0705.0767 | |
| dc.identifier | http://arxiv.org/abs/0705.0767 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/128464 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The Quantum-Corrected Fermion Mode Function during Inflation | |
| dc.type | text |