Quintessence Dark Energy from strongly-coupled Higgs mass gap: Local and Non-local higher-derivative non-perturbative scenarios

Abstract

We entertain the possibility that dark energy arises from the Higgs field of quintessence type in the non-perturbative regimes. For this purpose we utilize a set of exact solutions of Higgs field theory recently devised, in terms of Jacobi elliptical function for a massless quartic scalar field, that satisfy a massive dispersion relation. In certain regions of the parameter space, determined by the quartic coupling value, we show that such solutions have the property to give the correct behavior for the equation of state of the dark energy depending on the initial $\theta$ value of periodicity of the Jacobi elliptical function solution. It is seen that on a time scale determined by the Hubble constant and the strength of the self-interaction of the scalar field, when conformal invariance is restored, the equation of state for the dark energy becomes manifest. Further we investigate scenarios within standard field theory framework and also extending to higher-derivative theories, namely infinite-derivative theory, motivated from p-adic string field theory, and Lee-Wick theories and in all cases, we find suitable choices of the parameter space leads to dark energy behavior of the Higgs field, which we compare.

arXiv comment24 pages, 2 figures. Version accepted for publication in European Physical Journal C

References in corpus (72)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Dynamics of dark energy
• Quintessence, Cosmic Coincidence, and the Cosmological Constant
• The Cosmological Constant
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Super-renormalizable Quantum Gravity
• Aspects of the cosmological "coincidence problem"
• The Lee-Wick Standard Model
• Superrenormalizable quantum gravity with complex ghosts
• On singularities of spherically symmetric backgrounds in string theory
• On the Nonlinear Dynamical Equation in the p-adic String Theory
• Super-renormalizable or Finite Lee-Wick Quantum Gravity
• Ghost-free infinite derivative quantum field theory
• Nonlocal and quasi-local field theories
• Solution of Schwinger-Dyson Equations for $\mathcal{P}\mathcal{T}$-Symmetric Quantum Field Theory
• Causality as an emergent macroscopic phenomenon: The Lee-Wick O(N) model
• Behavior of the Newtonian potential for ghost-free gravity and singularity-free gravity
• Cutkosky Rules for Superstring Field Theory
• A new formulation of Lee-Wick quantum field theory
• Renormalization group in super-renormalizable quantum gravity
• Towards LHC Physics with Non-local Standard Model
• Cutkosky rules and perturbative unitarity in Euclidean nonlocal quantum field theories
• Infrared Gluon and Ghost Propagators
• Nonlocal Yang-Mills
• Numerical Study of Nonlinear Equations with Infinite Number of Derivatives
• A Higher-Derivative Lee-Wick Standard Model
• Minimal Lee-Wick Extension of the Standard Model
• Searching for Lee-Wick Gauge Bosons at the LHC
• Neutrino Masses in the Lee-Wick Standard Model
• Nonlocality in string theory
• Linear Regge trajectories from worldsheet lattice parton field theory
• Finite quantum gauge theories
• Transmutation of nonlocal scale in infinite derivative field theories
• Mapping a Massless Scalar Field Theory on a Yang-Mills Theory: Classical Case
• On the Stability of Infinite Derivative Abelian Higgs
• Electroweak Precision Data and the Lee-Wick Standard Model
• Unitarity of Minkowski non-local theories made explicit
• Electroweak precision constraints on the Lee-Wick Standard Model
• Flavor Changing Neutral Currents in the Lee-Wick Standard Model
• Lee-Wick Theories at High Temperature
• Unique Identification of Lee-Wick Gauge Bosons at Linear Colliders
• Exact solutions of classical scalar field equations
• Scale Invariant FIMP Miracle
• Constraints on the Lee-Wick Higgs Sector
• Analysis of scalar perturbations in cosmological models with a non-local scalar field
• Higgs Dark Energy
• Condition for confinement in non-Abelian gauge theories
• Scalar field theory in the strong self-interaction limit
• Non-unitarity of Minkowskian non-local quantum field theories
• The other Higgses, at resonance, in the Lee-Wick extension of the Standard Model
• Non-local self-healing of Higgs inflation
• Spectrum of Yang-Mills theory in 3 and 4 dimensions
• Non-local Non-Abelian Gauge Theory: Conformal Invariance and $\beta$-function
• Confinement and Renormalization Group Equations in String-inspired Non-local Gauge Theories
• Particlelike distributions of the Higgs field nonminimally coupled to gravity
• Strong coupling expansion for general relativity
• Infrared QCD
• Confinement in a three-dimensional Yang-Mills theory
• A theorem on the Higgs sector of the Standard Model
• On a novel evalutation of the hadronic contribution to the muon's $g-2$ from QCD
• LHC Constraints on the Lee-Wick Higgs Sector
• Mass Gap in Infinite Derivative Non-local Higgs: Dyson-Schwinger Approach
• Particlelike solutions in modified gravity: the Higgs monopole
• Differential Dyson-Schwinger equations for quantum chromodynamics
• Scalar Dark Matter Probes the Scale of Non-locality
• Strongly Coupled String-inspired Infinite Derivative Non-local Yang-Mills: Diluted Mass Gap
• Yang-Mills Propagators and QCD
• Proof of triviality of $\lambda {\varphi }^4$ theory
• Dual perturbation expansion for a classical $\lambda {\varphi }^4$ field theory
• Nonlocal SU(5) GUT
• Classical solutions of a massless Wess-Zumino model
• Mapping theorem and Green functions in Yang-Mills theory

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• Dynamical generation of electroweak scale from the conformal sector: A strongly coupled Higgs via the Dyson--Schwinger approach
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• Renormalisable Non-local Quark-Gluon Interaction: Mass Gap, Chiral Symmetry Breaking & Scale Invariance
• Quintessence Dark Energy from non-perturbative Higgs-Yang-Mills mass gap
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