Effective Potential for Quantum Scalar Fields in a de Sitter Geometry

J. Serreau 1
1 APC - THEORIE
APC - UMR 7164 - AstroParticule et Cosmologie
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.


https://hal.archives-ouvertes.fr/hal-00730837
Contributor : Julien Serreau <>
Submitted on : Tuesday, September 11, 2012 - 11:49:49 AM
Last modification on : Thursday, April 23, 2015 - 2:16:29 PM

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J. Serreau. Effective Potential for Quantum Scalar Fields in a de Sitter Geometry. Physical Review Letters, American Physical Society, 2011, 107, pp.191103. <10.1103/PHYSREVLETT.107.191103>. <hal-00730837>

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