A.O. Barut

The Mass of the Muon

Abstract It is shown that a classical relativistic charged particle has an anomalous magnetic moment g=4α/3. If such a “dressed” particle with its mass m, charge e, and anomalous magnetic moment g is quantized by a generalized Dirac equation, then the wave equation predicts a second mass mμ=me(3/2α+1). It is suggested that a magnetic portion of the self-energy is quantized.

Derivation and uniqueness of vacuum solutions of conformally covariant coupled nonlinear field equations

Abstract We derive the solutions of conformally covariant coupled Dirac and scalar fields including a nonlinear fermion self-coupling term for which the conformally covariant (not the canonical, nor the symmetric) energy-momentum tensor θ μν vanishes. This “vacuum” state is degenerate.

Superselection rule for magnetic charges and the search for magnetic monopoles

Abstract We show that (a) one can construct a quantum mechanics of particles with electric and pseudoscalar magnetic charges in which parity and time reversal are conserved, (b) in a chiral invariant and parity invariant theory there is no superselection rule for magnetic charges, (c) the states which are superpositions of positive and negative magnetic charges, ∣ g〉 ± ∣ -g〉, in which the expectation value of the magnetic charge vanishes, cannot be split in electromagnetic interactions by energy measurements. The hypothesis that magnetic charges occur in the superpositions ∣ +g 〉 ± ∣ -g 〉 can possibly be tested.

Equivalence of the Spinning Superparticle Descriptions With Grassmann Variables or With C Number Spinors

Abstract A remarkable equivalence is established between the theories of spinning particles or superparticles using anticommuting Grassmann variables on the one hand and commuting c-number spinors on the other. We consider both real and complex Grassmann variables and map the equations of motion and the supersymmetry transformation from one theory to another. The more intuitive c-number theory allows us to generalize the notion of Zitterbewegung to strings and membranes. A hidden supersymmetry exists in the classical model of the Dirac electron.

Renormalizable field theories with multiple fermionic excitations

Abstract A generalized quantum electrodynamics of e−μ(−τ,...) system in terms of a single spinor field ψ is presented. The theory is renormalizable and accounts for the equal electromagnetic interactions of leptons. The energy is positive definite. A superselection rule for leptonic charge is derived.

On the measurability of long range van der Waals forces between protons

Abstract The coefficient C of the long range van der Waals potential V = − C / R 7 between nucleons is estimated in two different ways and is found to be about six orders of magnitude smaller than the value given recently in Sawadas analysis. Other electromagnetic long range processes are discussed.

A new representation of magnetic sources in field theory and its relation to Pauli and Fermi couplings

Abstract We show that the standard quantum electrodynamics with an additional Pauli anomalous magnetic moment coupling and a Fermi coupling is equivalent to a field theory with both electric and magnetic monopole sources.

Magnetic charge and hyperfine splitting in hydrogen

Abstract The large spatial size of magnetic charges (or dyons) and parity considerations are used to show that in models of the proton based on dyons the hyperfine splitting must be due to the magnetic moment produced by the electric charge. The contributions of the magnetic monopoles cancel, otherwise the proton would have a large electric dipole moment.

The wave equation for the electron-muon system and their neutrinos

Abstract If the spin part of the translation generators are included into the new momentum P μ = i∂ μ + a −1 γ μ (1− i γ 5 ) analog to the total angular momentum J μv = L μv + S μv in the O (4, 2) orbital × O (4,2) spin framework, we obtain from the factorization of P 2 , two massless and two massive equations, the mass difference being 2/ a , where a is the scale or elementary length parameter in the conformal group. In two-component from a lepton and its neutrino naturally occur in the same multiplet as in the standard model.

Soliton solutions of infinite component wave equations

Abstract Three dimensional moving solitons, including relativistic Fitzgerald contraction of lengths, are explicitly constructed as stationary solutions of infinite component wave equations.