Compositeness, Bargmann-Wigner solutions within a U(1)-interaction quantum-field-theory expansion, and charge

Abstract

New solutions of the Bargmann-Wigner equations are obtained: free fermion-antifermion pairs, each satisfying Dirac's equation, with parallel momenta and momenta on a plane, produce vectors satisfying Proca's equations. These equations are consistent with Dirac's and Maxwell's equations, as zero-order conditions within a Lagrangian expansion for the U(1)-symmetry quantum field theory. Such vector solutions' demand that they satisfy Maxwell's equations and quantization fix the charge. The current equates the vector field, reproducing the superconductivity London equations, thus, binding and screening conditions. The derived vertex connects to QCD superconductivity and constrains four-fermion interaction composite models.

arXiv comment25 pages, 1 figure, 57 references

References in corpus (13)

• Quantum simulation of the Dirac equation
• An Effective Field Theory Approach to Color Superconductivity at High Quark Density
• High Density Quark Matter and the Renormalization Group in QCD with two and three flavors
• QCD potential as a "Coulomb-plus-linear" potential
• Cooper pairing and finite-size effects in a NJL-type four-fermion model
• A Model of Comprehensive Unification
• SU(5) Unification without Proton Decay
• Symmetric energy-momentum tensor in Maxwell, Yang-Mills, and Proca theories obtained using only Noether's theorem
• Standard-model particles and interactions from field equations on spin 9+1 dimensional space
• Dynamical Higgs Field Alignment in the NMSSM
• Cold quantum gases: coherent quantum phenomena from Bose-Einstein condensation to BCS pairing of fermions
• Standard-model coupling constants from compositeness
• Heavy quarks within the electroweak multiplet