The fermion self-energy during inflation

Details The fermion self-energy during inflation The fermion self-energy during inflation

Aug 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007phdt........16m&link_type=abstract

Proquest Dissertations And Theses 2007. Section 0070, Part 0606 116 pages; [Ph.D. dissertation].United States -- Florida: Unive

Statistics

Computation

Fermion, Self-Energy, Inflation

Scientific paper

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 mass less 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 - [Special characters omitted.] GH 2 ln( a ) + O ( G 2 ). I showed that this also follows from making the Hartree approximation, although the numerical coefficients differ.

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