Symmetry breaking, conformal geometry and gauge invariance
arXiv:1002.1170 · doi:10.1088/1751-8113/43/31/312002
Abstract
When the electroweak action is rewritten in terms of SU(2) gauge invariant variables, the Higgs can be interpreted as a conformal metric factor. We show that asymptotic flatness of the metric is required to avoid a Gribov problem: without it, the new variables fail to be nonperturbatively gauge invariant. We also clarify the relations between this approach and unitary gauge fixing, and the existence of similar transformations in other gauge theories.
11 pages. Version 2: typos corrected, discussion of Elitzur's theorem added. Version to appear in J.Phys.A
References in corpus (26)
- A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
- The Electroweak Phase Transition: A Non-Perturbative Analysis
- Constituent Quarks from QCD
- Where the electroweak phase transition ends
- Charges from Dressed Matter: Construction
- On the Ambiguity of Spontaneously Broken Gauge Symmetry
- The Landau gauge gluon and ghost propagator in the refined Gribov-Zwanziger framework in 3 dimensions
- Gribov horizon and BRST symmetry: a few remarks
- Observables and Gauge Fixing in Spontaneously Broken Gauge Theories
- Infrared behavior and Gribov ambiguity in SU(2) lattice gauge theory
- Charges from Dressed Matter: Physics and Renormalisation
- Collinearity, convergence and cancelling infrared divergences
- An alternative interpretation of the Weinberg-Salam model
- Non-Abelian Supercurrents and de Sitter Ground State in Electroweak Theory
- Resolving temporal Gribov copies in Coulomb gauge Yang-Mills theory
- Colour, copies and confinement
- A Remark on the Spontaneous Symmetry Breaking Mechanism in the Standard Model
- Four Dimensional Yang - Mills Theory in Local Gauge Invariant Variables
- Coulomb gauge Gribov copies and the confining potential
- Faddeev-Popov spectra at the Gribov horizon
- Counting Gribov copies
- Limiting Case of Modified Electroweak Model for Contracted Gauge Group
- Higgsless Electroweak Theory following from the Spherical Geometry
- Gauge Invariant Variables for Spontaneously Broken SU(2) Gauge Theory in the Spherical Ansatz
- How do constituent quarks arise in QCD? Perturbation theory and the infra-red
- A note on Gribov copies in 3D Chern-Simons theory
Cited by in corpus (21)
- Brout-Englert-Higgs physics: From foundations to phenomenology
- A unified geometric framework for boundary charges and dressings: non-Abelian theory and matter
- Gauge invariant accounts of the Higgs mechanism
- Gauge Symmetries, Symmetry Breaking, and Gauge-Invariant Approaches
- Tetrad gravity, electroweak geometry and conformal symmetry
- Analytical relations for the bound state spectrum of gauge theories with a Brout-Englert-Higgs mechanism
- Bundle geometry of the connection space, covariant Hamiltonian formalism, the problem of boundaries in gauge theories, and the dressing field method
- The dressing field method of gauge symmetry reduction, a review with examples
- Tractors and Twistors from conformal Cartan geometry: a gauge theoretic approach I. Tractors
- Tractors and Twistors from conformal Cartan geometry: a gauge theoretic approach II. Twistors
- Note on the bundle geometry of field space, variational connections, the dressing field method, & presymplectic structures of gauge theories over bounded regions
- Scheme dependence of asymptotically free solutions
- Dressing vs. Fixing: On How to Extract and Interpret Gauge-Invariant Content
- Limiting Case of Modified Electroweak Model for Contracted Gauge Group
- Electroweak Theory without a Higgs potential: Radiative Effects
- Gauge-free Coleman-Weinberg Potential
- An alternative view on the electroweak interactions
- Gauge-free Electrodynamics
- Strong Field, Noncommutative QED
- Standard Model with gauge inert variables
- Topological origin of vector boson masses in Electroweak Model