PhilSci Archive

Bosonization and Iterative Relations Beyond Field Theories

Binder, Bernd (2002) Bosonization and Iterative Relations Beyond Field Theories. [Preprint]


Download (224kB)

Download (369kB)


Solitons can be well described by the Lagrange formalism of effective field theories. But usually mass and coupling constants constitute phenomenological dimensions without any relation to the topological processes. This paper starts with a two-spinor Dirac equation in radial symmetry including vector Coulomb and scalar Lorentz potentials, and arrives after bosonization at the sine-Gordon equation. The keys of non-perturbative bosonization are in this case topological phase gradients (topological currents) that can be balanced in iterative processes providing for coupling constants driven by phase averaging and ``noise reduction'' in closed-loops and autoparametric resonance. A fundamental iterative spin-parity-asymmetry and dimensional shift quite near to the electron to proton mass ratio is found that can only be balanced by bosonization including Coulomb interaction.

Export/Citation: EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL
Social Networking:
Share |

Item Type: Preprint
Binder, Bernd
Keywords: proton, electron, asymmetry, auto-renormalization, auto-parametric, parity resonance, modes, nonabelian, nonlinear, non-pertubative, breather, nonpertubative, pseudosphere, phase, berry, Gordon, sine-Gordon, Baecklund, Thirring, Rayleigh, fine structure, iteration, iterative, exact
Subjects: Specific Sciences > Physics > Fields and Particles
Specific Sciences > Physics
Specific Sciences > Physics > Quantum Field Theory
Specific Sciences > Physics > Quantum Mechanics
Depositing User: Bernd Binder
Date Deposited: 24 Dec 2002
Last Modified: 07 Oct 2010 15:11
Item ID: 944

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item View Item