Gravitational Leptogenesis and Neutrino Mass Limit

Abstract

Recently Davoudiasl {\it et al} \cite{steinhardt} have introduced a new type of interaction between the Ricci scalar $R$ and the baryon current $J^{\mu }$, ${\partial }_{\mu }R{J}^{\mu }$ and proposed a mechanism for baryogenesis, the gravitational baryogenesis. Generally, however, ${\partial }_{\mu }R$ vanishes in the radiation dominated era. In this paper we consider a generalized form of their interaction, ${\partial }_{\mu }f(R)J^{\mu }$ and study again the possibility of gravitational baryo(lepto)genesis. Taking $f(R)\sim \ln R$, we will show that ${\partial }_{\mu }f(R)\sim {\partial }_{\mu }R/R$ does not vanish and the required baryon number asymmetry can be {\it naturally} generated in the early universe.

4 pages

References in corpus (21)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Cosmological parameters from SDSS and WMAP
• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• Cosmic Microwave Background, Matter-Antimatter Asymmetry and Neutrino Masses
• Leptogenesis, CP violation and neutrino data: What can we learn?
• Dark Energy and Neutrino Mass Limits from Baryogenesis
• Leptogenesis with Almost Degenerate Majorana Neutrinos
• A preference for a non-zero neutrino mass from cosmological data
• A Dynamical Approach to the Cosmological Constant
• Quintessence and Spontaneous Leptogenesis
• Observable Consequences of Partially Degenerate Leptogenesis
• Spontaneous baryogenesis in warm inflation
• Baryogenesis in a flat direction with neither baryon nor lepton charge
• K-essential Leptogenesis
• Thermal leptogenesis in a model with mass varying neutrinos
• Quintessential Baryogenesis
• Generation of cosmological large lepton asymmetry from a rolling scalar field
• Indirect limits on the CPT violating background in the neutrino sector
• Leptogenesis, mass hierarchies and low energy parameters
• Baryogenesis and the New Cosmology

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