Analytical relations for the bound state spectrum of gauge theories with a Brout-Englert-Higgs mechanism

Abstract

We apply the method proposed by Fröhlich, Morchio, and Strocchi to analyze the bound state spectrum of various gauge theories with a Brout-Englert-Higgs mechanism. These serve as building blocks for theories beyond the standard model but also stress the exceptional role of the standard model weak group. We will show how the Fröhlich-Morchio-Strocchi mechanism relates gauge-invariant bound state operators to invariant objects of the remaining unbroken gauge group after gauge fixing. In particular, this provides a strict gauge-invariant formulation of the latter in terms of the original gauge symmetry without using the terminology of spontaneous gauge symmetry breaking. We also demonstrate that the Fröhlich-Morchio-Strocchi approach allows us to put new constraints on theories beyond the standard model by pure field-theoretical considerations. Particularly the conventional construction of grand unified theories has to be rethought.

arXiv comment37 pages, 11 tables, comments on the role of operators of the first class added, comment on excitations of J=2 tensor states added and tables slightly adjusted, typos corrected

References in corpus (38)

• The Gribov problem and QCD dynamics
• Gauge bosons at zero and finite temperature
• Constituent Quarks from QCD
• On the Ambiguity of Spontaneously Broken Gauge Symmetry
• Brout-Englert-Higgs physics: From foundations to phenomenology
• Artificial vs Substantial Gauge Symmetries: a Criterion and an Application to the Electroweak Model
• Bound-state/elementary-particle duality in the Higgs sector and the case for an excited 'Higgs' within the standard model
• A confinement criterion for gauge theories with matter fields
• Accessing directly the properties of fundamental scalars in the confinement and Higgs phase
• Two- and three-point functions in Landau gauge Yang-Mills-Higgs theory
• On the observable spectrum of theories with a Brout-Englert-Higgs effect
• Non-Abelian Supercurrents and de Sitter Ground State in Electroweak Theory
• Symmetry breaking, conformal geometry and gauge invariance
• (Non-)Aligned gauges and global gauge symmetry breaking
• Semiclassical analysis of the phases of 4d SU(2) Higgs gauge systems with cutoff at the Gribov horizon
• Predicting the singlet vector channel in a partially Higgsed gauge theory
• A spectroscopical analysis of the phase diagram of Yang-Mills-Higgs theory
• Scalar gauge dynamics and Dark Matter
• Colour, copies and confinement
• What symmetry is actually broken in the Higgs phase of a gauge-Higgs theory?
• The spectrum of an SU(3) gauge theory with a fundamental Higgs field
• The (IR-)relevance of the Gribov ambiguity in SU(2) x U(1) gauge theories with fundamental Higgs matter
• Gauge-invariant description of Higgs phenomenon and quark confinement
• On the Physical Propagators of QED
• Field theory as a tool to constrain new physics models
• Dark Matter from self-dual gauge/Higgs dynamics
• Exploratory study of the off-shell properties of the weak vector bosons
• Is Confinement a Phase of Broken Dual Gauge Symmetry?
• The nature of symmetry breaking in the superconducting ground state
• Pair production processes and flavor in gauge-invariant perturbation theory
• Gauge-independent Brout-Englert-Higgs mechanism and Yang-Mills theory with a gauge-invariant gluon mass term
• Phases and Residual Gauge Symmetries of Higgs Models
• SU(2) x U(1) Yang-Mills theories in 3d with Higgs field and Gribov ambiguity
• Photon operators for lattice gauge theory
• Abelian Higgs model with charge conjugate boundary conditions
• The ice-limit of Coulomb gauge Yang-Mills theory
• Gauge Invariant Variables for Spontaneously Broken SU(2) Gauge Theory in the Spherical Ansatz
• Probing standard-model Higgs substructures using tops and weak gauge bosons

Cited by in corpus (16)

• Gauge Symmetries, Symmetry Breaking, and Gauge-Invariant Approaches
• Gauge-invariant description of the Higgs resonance and its phenomenological implications
• Dressing vs. Fixing: On How to Extract and Interpret Gauge-Invariant Content
• Remarks on the Clauser-Horne-Shimony-Holt inequality in relativistic quantum field theory
• Gauge Invariant Description of the $SU(2)$ Higgs model: Ward identities and Renormalization
• Grand unification and the Planck scale: An $SO(10)$ example of radiative symmetry breaking
• A composite massless vector boson
• Vector boson scattering from the lattice
• Constraining the Higgs valence contribution in the proton
• Testing the mechanism of lepton compositness
• Multiple breaking patterns in the Brout-Englert-Higgs effect beyond perturbation theory
• Quantum field theories of relativistic Luttinger fermions
• Exploring SU(3)-Higgs theories
• The Abelian Higgs model under a gauge invariant looking glass: exploiting new Ward identities for gauge invariant operators and the Equivalence Theorem
• The Fröhlich-Morchio-Strocchi mechanism: A underestimated legacy
• The manifestly gauge-invariant spectrum of the Minimal Supersymmetric Standard Model