Effective potential for quantum scalar fields on a de Sitter geometry
High Energy Physics - Theory
2015-05-28 v2 Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Nuclear Theory
Abstract
We study the quantum theory of an O(N) scalar field on de Sitter geometry at leading order in a nonperturbative 1/N-expansion. This resums the infinite series of so-called superdaisy loop diagrams. We obtain the de Sitter symmetric solutions of the corresponding, properly renormalized, dynamical field equations and compute the complete effective potential. Because of its self-interactions, the field acquires a strictly positive square mass which screens potential infrared divergences. Moreover, strongly enhanced ultralong-wavelength fluctuations prevent the existence of a spontaneously broken symmetry state in any dimension.
Cite
@article{arxiv.1105.4539,
title = {Effective potential for quantum scalar fields on a de Sitter geometry},
author = {Julien Serreau},
journal= {arXiv preprint arXiv:1105.4539},
year = {2015}
}
Comments
4 pages, 1 figure. Minor changes, to appear in PRL