The Fröhlich-Morchio-Strocchi mechanism and quantum gravity

Abstract

Taking manifest invariance under both gauge symmetry and diffeomorphisms as a guiding principle physical objects are constructed for Yang-Mills-Higgs theory coupled to quantum gravity. These objects are entirely classified by quantum numbers defined in the tangent space. Applying the Fröhlich-Morchio-Strocchi mechanism to these objects reveals that they coincide with ordinary correlation functions in quantum-field theory, if quantum fluctuations of gravity and curvature become small. Taking these descriptions literally exhibits how quantum gravity fields need to dress quantum fields to create physical objects, i.e. giving a graviton component to ordinary observed particles. The same mechanism provides access to the physical spectrum of pure gravitational degrees of freedom.

arXiv comment22 pages; v3: Some clarifications and consequences added; v2: Some extensions and slight corrections on spin; various improvements of presentation and additional details

References in corpus (20)

• Quantum Einstein Gravity
• Nonperturbative Quantum Gravity
• Quantum Gravity from Causal Dynamical Triangulations: A Review
• Constituent Quarks from QCD
• Diffeomorphism-invariant observables and their nonlocal algebra
• Local Quantum Gravity
• Resolving Spacetime Singularities within Asymptotic Safety
• Form Factors in Asymptotic Safety: conceptual ideas and computational toolbox
• How perturbative is quantum gravity?
• Brout-Englert-Higgs physics: From foundations to phenomenology
• Fermions in gravity with local spin-base invariance
• Gravitational origin of the weak interaction's chirality
• Asymptotic safety, string theory and the weak gravity conjecture
• On the observable spectrum of theories with a Brout-Englert-Higgs effect
• Global surpluses of spin-base invariant fermions
• Gribov Problem for Gauge Theories: a Pedagogical Introduction
• The dressing field method of gauge symmetry reduction, a review with examples
• Stability of Gravitational and Electromagnetic Geons
• de Sitter gravity from lattice gauge theory
• Minimizing gauge-functional for 2-d gravity and string theory

Cited by in corpus (9)

• Gauge Symmetries, Symmetry Breaking, and Gauge-Invariant Approaches
• Asymptotically Safe Gravity with Fermions
• Bundle geometry of the connection space, covariant Hamiltonian formalism, the problem of boundaries in gauge theories, and the dressing field method
• A composite massless vector boson
• Dynamical diffeomorphisms
• Exploratory applications of the Fröhlich-Morchio-Strocchi mechanism in quantum gravity
• The Fröhlich-Morchio-Strocchi mechanism: A underestimated legacy
• The manifestly gauge-invariant spectrum of the Minimal Supersymmetric Standard Model
• Mechanics as a general-relativistic gauge field theory, and Relational Quantization