Schwinger’s Magnetic Model of Matter – Can It Help Us With Grand Unification?
- Paul J. Werbos
- Program Director for Quantum, Molecular and High Performance Modeling and Simulation
Engineering Directorate, National Science Foundation, Arlington, Virginia, US 22230
- “Many have argued that research on grand unification or local realistic physics will not be truly relevant until it makes predictions verified by experiment, different from the prediction of prior theory (the standard model). This paper proposes a new strategy (and candidate Lagrangians) for such models; that strategy in turn calls for reconsideration of Schwinger’s magnetic model of matter. High priority should be given to experiments which fully confirm or deny recent scattering calculations which suggest the presence of van der Waal’s effects in low energy p-p and π-π scattering, consistent with Schwinger’s model and inconsistent with QCD as we know it (with a mass gap). I briefly discuss other evidence, which does not yet rule out Schwinger’s theory. A recent analysis of hadron masses also seems more consistent with the Schwinger model than with QCD.”
- Key words: Dyon, bosonization, soliton, monopole, QCD, Schwinger, stochastic quantization.
- PACS – 12.60-I, 11.25.Mj, 14.80.Hv
- ↑ The views herein are not anyone’s official views, but this does constitute work produced on government time.
Retrieved 14:38, 27 August 2012 (MDT) from http://arxiv.org/ftp/arxiv/papers/0707/0707.2520.pdf
- arXiv.org > quant-ph > arXiv:1204.2372
Quantum geometric phase in Majorana's stellar representation: Mapping onto a many-body Aharonov-Bohm phase
- (Submitted on 11 Apr 2012 (v1), last revised 13 Jun 2012 (this version, v3))
- The (Berry-Aharonov-Anandan) geometric phase acquired during a cyclic quantum evolution of finite-dimensional quantum systems is studied. It is shown that a pure quantum state in a (2J+1)-dimensional Hilbert space (or, equivalently, of a spin-J system) can be mapped onto the partition function of a gas of independent Dirac strings moving on a sphere and subject to the Coulomb repulsion of 2J fixed test charges (the Majorana stars) characterizing the quantum state. The geometric phase may be viewed as the Aharonov-Bohm phase acquired by the Majorana stars as they move through the gas of Dirac strings. Expressions for the geometric connection and curvature, for the metric tensor, as well as for the multipole moments (dipole, quadrupole, etc.), are given in terms of the Majorana stars. Finally, the geometric formulation of the quantum dynamics is presented and its application to systems with exotic ordering such as spin nematics is outlined.
Retrieved by DonEMitchell 09:12, 28 August 2012 (MDT) from http://arxiv.org/abs/1204.2372