Moyal Brackets, Star Products and the Generalised Wigner Function
High Energy Physics - Theory
2015-06-26 v1
Abstract
The Wigner-Weyl- Moyal approach to Quantum Mechanics is recalled, and similarities to classical probability theory emphasised. The Wigner distribution function is generalised and viewed as a construction of a bosonic object, a target space co-ordinate, for example, in terms of a bilinear convolution of two fermionic objects, e.g. a quark antiquark pair. This construction is essentially non-local, generalising the idea of a local current. Such Wigner functions are shown to solve a BPS generalised Moyal-Nahm equation.
Keywords
Cite
@article{arxiv.hep-th/9806198,
title = {Moyal Brackets, Star Products and the Generalised Wigner Function},
author = {D. B. Fairlie},
journal= {arXiv preprint arXiv:hep-th/9806198},
year = {2015}
}
Comments
7 pages, LaTeX, to appear in special issue of the J. of Chaos, Solitons and Fractals