Constraints on the Cosmological Constant due to Scale Invariance

Abstract

We consider the standard model with local scale invariance. The theory shows exact scale invariance of dimensionally regulated action. We show that massless gauge fields, which may be abelian or non-abelian, lead to vanishing contribution to the cosmological constant in this theory. This result follows in the quantum theory, to all orders in the gauge couplings. However we have not considered contributions higher orders in the gravitational coupling. Similarly we also find that massless fermion fields yield null contribution to the cosmological constant. The effective cosmological constant in this theory is non-zero due to the phenomenon of cosmological symmetry breaking, which also gives masses to all the massive fields, besides generating the Planck mass. We find a simple relationship between the curvature scalar and the vacuum value of the Higgs field in the limit when we ignore all other contributions to the energy density besides the vacuum energy.

17 pages, no figures, revised version, no change in results or conclusions

References in corpus (10)

• Dynamics of dark energy
• Cosmology and the Fate of Dilatation Symmetry
• Quantum scale invariance, cosmological constant and hierarchy problem
• Scale invariance, unimodular gravity and dark energy
• Comprehensive Solution to the Cosmological Constant, Zero-Point Energy, and Quantum Gravity Problems
• Dark Energy, Induced Gravity and Broken Scale Invariance
• Implication of Compensator Field and Local Scale Invariance in the Standard Model
• Naturalness of exponential cosmon potentials and the cosmological constant problem
• Cosmological Symmetry Breaking, Pseudo-scale invariance, Dark Energy and the Standard Model
• Constraints on the Cosmological Constant due to Scale Invariance

Cited by in corpus (11)

• Standard Model in Weyl conformal geometry
• Vacuum Energy as the Origin of the Gravitational Constant
• Constraints on the Cosmological Constant due to Scale Invariance
• Unimodular Constraint on global scale Invariance
• The fine tuning of the cosmological constant in a conformal model
• Quantum Treatment of the Weyl Vector Meson
• Cosmological Perturbation Analysis in a Scale Invariant Model of Gravity
• Cosmological evolution in Weyl conformal geometry
• Dirac-Born-Infeld-Einstein theory with Weyl invariance
• Relating the cosmological constant and slow roll to conformal symmetry breaking
• Local Scale Invariance and Inflation