Two Loop Scalar Self-Mass during Inflation

Details Two Loop Scalar Self-Mass during Inflation Two Loop Scalar Self-Mass during Inflation

2004-08-24

arxiv.org/abs/gr-qc/0408080v2

Class.Quant.Grav.22:59-84,2005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

31 pages, 5 figures, revtex4, revised for publication with extended list of references

Scientific paper

10.1088/0264-9381/22/1/005

We work in the locally de Sitter background of an inflating universe and consider a massless, minimally coupled scalar with a quartic self-interaction. We use dimensional regularization to compute the fully renormalized scalar self-mass-squared at one and two loop order for a state which is released in Bunch-Davies vacuum at t=0. Although the field strength and coupling constant renormalizations are identical to those of lfat space, the geometry induces a non-zero mass renormalization. The finite part also shows a sort of growing mass that competes with the classical force in eventually turning off this system's super-acceleration.

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