Non perturbative renormalization group potentials and quintessence

Abstract

New solutions to the non perturbative renormalization group equation for the effective action of a scalar field theory in the Local Potential Approximation having the exponential form $e^{\pm \varphi }$ are found. This result could be relevant for those quintessence phenomenological models where this kind of potentials are already used, giving them a solid field theoretical derivation. Other non perturbative solutions, that could also be considered for the quintessence scenario, are also found. Apart from this particular cosmological application, these results could be relevant for other models where scalar fields are involved, in particular for the scalar sector of the standard model.

4 pages. Corrected typos

References in corpus (9)

• Quintessence arising from exponential potentials
• A New Cosmological Model of Quintessence and Dark Matter
• Quintessence and Supergravity
• Scalar-Tensor Gravity and Quintessence
• The Robustness of Quintessence
• SUSY QCD and Quintessence
• Compactification, Vacuum Energy and Quintessence
• General considerations of the cosmological constant and the stabilization of moduli in the brane-world picture
• Non-perturbative scaling in the scalar theory

Cited by in corpus (6)

• Dark Fluid: a complex scalar field to unify dark energy and dark matter
• Spontaneous Lorentz Violation and Nonpolynomial Interactions
• The Inflaton Field as Self-Interacting Dark Matter in the Braneworld Scenario
• The fate of non-polynomial interactions in scalar field theory
• Interacting Scalar Fields in the Context of Effective Quantum Gravity
• Scalar Field Dark Matter, Cross Section and Planck-Scale Physics