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Physical Review Letters 107 (2011) 191103
Effective Potential for Quantum Scalar Fields in a de Sitter Geometry
J. Serreau1

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.
1:  APC - UMR 7164 - AstroParticule et Cosmologie
Physics/High Energy Physics - Theory

Physics/General Relativity and Quantum Cosmology

Physics/High Energy Physics - Phenomenology

Physics/Nuclear Theory
Quantum field theory in curved spacetime – Cosmology
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