Spin, the Classical Theory

Spin Densities in Pseudo - Classical Kinetic Theory

It is shown that classical many-particle systems based on N=1 supersymmetry allow for observable consequences of the spin degrees of freedom. In contrast to the one-particle system, where a consistent formulation of spinspace density is impossible, the many-particle system allows for spin to enter into the equations of motion in a non-trivial way. This density can then be directly compared to t...

Se p 19 95 Quantum Mechanics as a Classical Theory VI : The Classical Spin

In these continuation papers (VI and VII) we are interested in approach the problem of spin from a classical point of view. In this first paper we will show that the spin is neither basically relativistic nor quantum but reflects just a simmetry property related to the Lie algebra to which it is associated. The classical approach will be paraleled with the usual quantum one to stress their form...

Anyons as Spin Particles: from Classical Mechanics to Field Theory

(2+1)-dimensional relativistic fractional spin particles are considered within the framework of the group-theoretical approach to anyons starting from the level of classical mechanics and concluding by the construction of the minimal set of linear differential field equations. Talk given at the Conference “Theories of Fundamental Interactions”, Maynooth, Ireland, May 1995; to be published in “T...

Unifying all classical spin models in a lattice gauge theory.

The partition function of all classical spin models, including all discrete standard statistical models and all Abelian discrete lattice gauge theories (LGTs), is expressed as a special instance of the partition function of the 4D Z2 LGT. This unifies all classical spin models with apparently very different features in a single complete model. This result is applied to establish a new method to...

Classical Spin Models