Non-linear sigma model in de Sitter space

Abstract

We investigate infra-red dynamics of the non-linear sigma model in de Sitter space. In the presence of minimally coupled massless scalar fields, the de Sitter symmetry is dynamically broken and physical constants become time dependent. We find that the coupling constant of the non-linear sigma model becomes time dependent. The power counting arguments of the infra-red logarithms indicate that the cosmological constant also acquires time dependence. We find that such infra-red logarithms cancel out in a perturbative investigation up to the two loop level. We further demonstrate a non-perturbative non-renormalization of the cosmological constant in the large $N$ limit of the non-linear sigma model.

34pages

References in corpus (21)

• De Sitter Space and Eternity
• Quantum Contributions to Cosmological Correlations II: Can These Corrections Become Large?
• Stochastic Inflationary Scalar Electrodynamics
• Decay of Vacuum Energy
• The IR stability of de Sitter: Loop corrections to scalar propagators
• Generation of fluctuations during inflation: comparison of stochastic and field-theoretic approaches
• Leading Log Solution for Inflationary Yukawa
• Stochastic growth of quantum fluctuations during slow-roll inflation
• On the proper treatment of massless fields in Euclidean de Sitter space
• Classical approximation to quantum cosmological correlations
• Reply to `Can infrared gravitons screen $\Lambda$?'
• The curvature perturbation in a box
• Infrared Propagator Corrections for Constant Deceleration
• Two Loop Scalar Bilinears for Inflationary SQED
• De Sitter Breaking through Infrared Divergences
• IR divergence does not affect the gauge-invariant curvature perturbation
• Can infrared gravitons screen $\Lambda$?
• One Loop Corrected Mode Functions for SQED during Inflation
• Cosmology is not a Renormalization Group Flow
• Boltzmann equation in de Sitter space
• Correlators, Feynman diagrams, and quantum no-hair in deSitter spacetime

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