Ultraviolet Regularisation in de Sitter Space

Abstract

The ultraviolet regularisation of Yukawa theory in de Sitter space is considered. We rederive the one-loop effective Candelas-Raine potentials, such that they agree with the corresponding Coleman-Weinberg potentials in flat space. Within supersymmetry, this provides a mechanism for the lifting of flat directions during inflation. For the purpose of calculating loop integrals, we employ the dimensional regularisation procedure by Onemli and Woodard and show explicitly that the resulting self-energies are also invariant. This implies the absence anomalous de Sitter breaking terms, which are reported in the literature. Furthermore, transplanckian effects do not necessarily leave an imprint on the spectrum of cosmic perturbations generated during inflation.

18 pages

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Cited by in corpus (15)

• Constraints on Supersymmetric Models of Hybrid Inflation
• Anatomy of F_D-Term Hybrid Inflation
• Self Regulation of Infrared Correlations for Massless Scalar Fields during Inflation
• Effective action for the Yukawa model in curved spacetime
• Quantum Correlators in Friedmann Spacetimes -The omnipresent de Sitter and the invariant vacuum noise
• Gauged Yukawa model in curved spacetime
• Radiative Lifting of Flat Directions of the MSSM in de Sitter Background
• The B-L Phase Transition: Implications for Cosmology and Neutrinos
• Stress energy correlator in de Sitter space-time : its conformal masking or growth in connected Friedmann universes
• Radiative Corrections from Heavy Fast-Roll Fields during Inflation
• Baryogenesis from the amplification of vacuum fluctuations during inflation
• Yang-Mills Yukawa model in curved spacetime
• Adiabatic regularization of functional determinants in cosmology and radiative corrections during inflation
• Unequal time Commutators in Friedmann universes: Deterministic evolution of massless fields
• Fluctuations in the stress energy tensor of spinor fields evolving in general FRW spacetimes