A scalar potential from gauge condensation and its implications

Abstract

We consider a scalar field $\varphi$ whose coupling to the kinetic term of a non-abelian gauge field is set at an UV scale $M$. Then the confinement of the gauge sector will induce a $\varphi$-dependent vacuum energy which generates a dimensionful potential for the scalar. It provides a good example of dynamical generation of a new physics scale below $M$ through the vacuum expectation value $⟨\varphi ⟩$. This mechanism may shed light on the origin of dark matter, or spontaneous symmetry breaking applicable to the electroweak symmetry.

4 pages, 3 figures

References in corpus (16)

• Cold and Fuzzy Dark Matter
• Light Dark Matter: Models and Constraints
• Stellar cooling bounds on new light particles: plasma mixing effects
• Constraining Light Dark Matter with Diffuse X-Ray and Gamma-Ray Observations
• Review of short-range gravity experiments in the LHC era
• Lattice QCD at non-zero temperature
• QCD-induced Electroweak Phase Transition
• Recent Progress in QCD Condensate Evaluations and Sum Rules
• QCD Parameters Correlations from Heavy Quarkonia
• A more attractive scheme for radion stabilization and supercooled phase transition
• Early Cosmological Period of QCD Confinement
• Electroweak Baryogenesis from Temperature-Varying Couplings
• Wilson loops to 20th order numerical stochastic perturbation theory
• A phase of confined electroweak force in the early Universe
• Quantum Yang--Mills Dark Energy
• Varying gauge couplings and collider phenomenology

Cited by in corpus (2)

• Bosonic dark matter in a coherent state driven by thermal fermions
• Non-perturbative Origin of the Electroweak Scale: RGE in Strongly-coupled Dark Gauge Theories via Dyson-Schwinger