Yukawa Scalar Self-Mass on a Conformally Flat Background

Abstract

We compute the one loop self-mass-squared of a massless, minimally coupled scalar which is Yukawa-coupled to a massless Dirac fermion in a general conformally flat background. Dimensional regularization is employed and a fully renormalized result is obtained. For the special case of a locally de Sitter background our result is manifestly de Sitter invariant. By solving the effective field equations we show that the scalar mode functions acquire no significant one loop corrections. In particular, the phenomenon of super-adiabatic amplification is not affected. One consequence is that the scalar-catalyzed production of fermions during inflation should not be reduced by changes in the scalar sector before it has time to go to completion.

23 pages, LaTeX 2epsilon, 3 figures (uses axodraw)

References in corpus (12)

• The Cold Dark Matter Density Perturbation
• Quantum effects can render w<-1 on cosmological scales
• Super-Acceleration from Massless, Minimally Coupled ${\varphi }^4$
• Quantum Gravity Slows Inflation
• Two Loop Scalar Self-Mass during Inflation
• Photon mass from inflation
• One Loop Vaccum Polarization in a Locally de Sitter Background
• Primordial Spectrum of Gauge Fields from Inflation
• Natural Magnetogenesis from Inflation
• Production of Massless Fermions during Inflation
• Dynamics of super-horizon photons during inflation with vacuum polarization
• Plane waves in a general Robertson-Walker background

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• Reply to `Can infrared gravitons screen $\Lambda$?'
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• Two loop stress-energy tensor for inflationary scalar electrodynamics
• Two Loop Scalar Bilinears for Inflationary SQED
• Quantum Gravity Corrections to the One Loop Scalar Self-Mass during Inflation
• Perturbative Quantum Gravity Comes of Age
• Charged Scalar Self-Mass during Inflation
• A Completely Regular Quantum Stress Tensor with $w<-1$
• Dimensionally Regulated Graviton 1-Point Function in de Sitter
• Scalar Field Equations from Quantum Gravity during Inflation
• A Simple Operator Check of the Effective Fermion Mode Function during Inflation
• One Loop Corrected Mode Functions for SQED during Inflation
• The Graviton Propagator in de Donder Gauge on de Sitter Background
• Electrodynamic Effects of Inflationary Gravitons
• Effective action for the Yukawa model in curved spacetime
• Scalar Contribution to the Graviton Self-Energy during Inflation
• Quantum Gravitational Effects on Massive Fermions during Inflation I
• Soft Gravitons Screen Couplings in de Sitter Space
• Inflationary Scalars Don't Affect Gravitons at One Loop
• Solving the Effective Field Equations for the Newtonian Potential
• Covariant Vacuum Polarizations on de Sitter Background
• Soft Graviton effects on Gauge theories in de Sitter Space
• Quantum gravity corrections to the conformally coupled scalar self-mass-squared on de Sitter II: kinetic-conformal cross terms
• Quantum gravity corrections to the conformally coupled scalar self-mass-squared on de Sitter background
• Representing the Graviton Self-Energy on de Sitter Background
• Fermionic influence (action) on inflationary fluctuations
• The Quantum Corrected Mode Function and Power Spectrum for a Scalar Field during Inflation
• Scheme dependence of quantum gravity on de Sitter background
• How Inflationary Gravitons Affect Gravitational Radiation
• First order QED effects on a spatially flat FLRW spacetime with a Milne-type scale factor
• One-loop Graviton Corrections to Conformal Scalars on a de Sitter Background
• One loop corrected conformally coupled scalar mode equations during inflation
• Longitudinal Doppler effect in de Sitter expanding universe
• Decoherence and entropy generation in an open quantum scalar-fermion system with Yukawa interaction
• Fluctuations in the stress energy tensor of spinor fields evolving in general FRW spacetimes