Fermion Mass Generation in de Sitter Space
General Relativity and Quantum Cosmology
2009-11-11 v1
Abstract
We study the one-loop radiative corrections for massless fermions in de Sitter space induced by a Yukawa coupling to a light, nearly minimally coupled scalar field. We show that the fermions acquire a mass. Next we construct the corresponding (nonlocal) effective fermionic action, which -- in contrast to the case of a massive Dirac fermion -- preserves chirality. Nevertheless, the resulting fermion dynamics is precisely that of a Dirac fermion with a mass proportional to the expansion rate. Our finding supports the view that an observer or a test particle responds to a scalar field in inflation by shifting its energy rather than seeing a thermal bath.
Cite
@article{arxiv.gr-qc/0602011,
title = {Fermion Mass Generation in de Sitter Space},
author = {Bjorn Garbrecht and Tomislav Prokopec},
journal= {arXiv preprint arXiv:gr-qc/0602011},
year = {2009}
}
Comments
17 pages, 3 figures, LaTeX