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Effective potential for quantum scalar fields on a de Sitter geometry

Julien Serreau
(
- APC, Paris
)

May, 2011

4 pages

Published in:

Phys.Rev.Lett. 107 (2011) 191103

e-Print:

1105.4539 [hep-th]

DOI:

10.1103/PhysRevLett.107.191103

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Abstract: (arXiv)

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.

Note:

4 pages, 1 figure. Minor changes, to appear in PRL

04.62.+v
98.80.-k
Quantum field theory
de Sitter geometry
large-N expansion
field theory: scalar
space-time: de Sitter
gauge field theory: O(N)
expansion 1/N
effective potential

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