On spacetime rotation invariance, spin-charge separation andSU(2) Yang–Mills theory

Spin-charge separation for the SU(3) gauge theory

fAμA C ν 2 in the SU(3) Lagrangian: we have no exact mathematical tools for the non-perturbative path integration of such non-quadratic Lagrangian. In this case it is useful to have any analogy with other area of physics. In Ref. [1] the authors considered the similarity between High-Tc cuprate superconductivity in condensed matter physics and the problem of a mass gap in the Yang-Mills theory....

Spin-Charge Separation in Polyacetylene

ROTATION INVARIANCE IN ALGEBRAIC K-THEORY Contents

1. Overview 1 1.

ROTATION INVARIANCE IN ALGEBRAIC K-THEORY Contents

1. Overview 2 1.

Mapping spin - charge separation without constraints

The general form of a mapping of the spin and charge degrees of freedom of electrons onto spinless fermions and local 'spin'-1 2 operators is derived. The electron Hilbert space is mapped onto a tensor product spin-charge Hilbert space. The single occupancy condition of the t-J model is satisfied exactly without the constraints between the operators required with slave particle methods and the ...