Clockwork Goldstone Bosons

Abstract

The clockwork mechanism has recently been proposed as a natural way to generate hierarchies among parameters in quantum field theories. The mechanism is characterized by a very specific pattern of spontaneous and explicit symmetry breaking, and the presence of new light states referred to as `gears'. In this paper we begin by investigating the self-interactions of these gears in a scalar clockwork model and find a parity-like selection rule at all orders in the fields. We then proceed to investigate how the clockwork mechanism can be realized in 5D linear dilaton models from the spontaneous symmetry breaking of a complex bulk scalar field. We also discuss how the clockwork mechanism is manifest in the scalar components of 5D gauge theories in the linear dilaton model, and build their 4D deconstructed analogue. Finally we discuss attempts at building both 4D and 5D realizations of a non-abelian scalar clockwork mechanism, where in the latter we consider scenarios in which the Goldstone bosons arise from 5D scalar and 5D gauge fields.

32 pages, 1 figure, v4: title changed, a new approach is introduced to clockwork mechanism for the abelian and non-abelian clockwork models with the perspective of 5D gauge theories in the linear dilaton geometry

References in corpus (12)

• A Clockwork Theory
• The photo-philic QCD axion
• Disassembling the Clockwork Mechanism
• A Clockwork WIMP
• Clockwork Inflation
• Radion Dynamics and Phenomenology in the Linear Dilaton Model
• Dynamical Clockwork Axions
• Graviton Phenomenology of Linear Dilaton Geometries
• Clockwork seesaw mechanisms
• Comment on "Disassembling the Clockwork Mechanism"
• Exploring extra dimensions through inflationary tensor modes
• Generalized Clockwork Theory

Cited by in corpus (32)

• Clockwork / Linear Dilaton: Structure and Phenomenology
• Disassembling the Clockwork Mechanism
• A clockwork solution to the flavor puzzle
• A Note on the WGC, Effective Field Theory and Clockwork within String Theory
• Clockworking FIMPs
• Clockwork Higgs portal model for freeze-in dark matter
• Gauged $U(1)$ Clockwork Theory
• Cosmological Aspects of the Clockwork Axion
• Axions in a highly protected gauge symmetry model
• Clockwork for Neutrino Masses and Lepton Flavor Violation
• Freeze-In Dark Matter from a sub-Higgs Mass Clockwork Sector via the Higgs Portal
• Clockwork without supersymmetry
• Generalized Clockwork Theory
• Higher Order Clockwork Gravity
• Clockworked VEVs and Neutrino Mass
• Exact accidental U(1) symmetries for the axion
• Deformation of Axion Potentials: Implications for Spontaneous Baryogenesis, Dark Matter, and Isocurvature Perturbations
• A warped relaxion
• Clockwork origin of neutrino mixings
• Clockwork Cosmology
• Heterotic M-Theory from the Clockwork Perspective
• Inflation and long-range force from clockwork $D$-term
• Randomness-Assisted Exponential Hierarchies
• Discrete Goldstone Bosons
• Gauge Field Localization in the Linear Dilaton Background
• A natural theory of dark energy
• A Lighter QCD Axion from Anarchy
• A Supersymmetric Flavor Clockwork
• A Clockwork Solution to the Doublet-Triplet Splitting Problem
• Majorana Neutrinos and Clockworked Yukawa Couplings contribution to non-observation of the rare leptonic decay $l_i\to l_j\gamma$, Clockwork Photon and Clockwork Graviton
• Revisiting Neutrino Masses In Clockwork Models
• A closed clockwork theory: ${\mathbb{Z}}_2$ parity and more