Moyal brackets, star products and the generalised Wigner function

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.

• Publication year

  1998

• Venue

  Chaos Solitons & Fractals

• Publication date

  1998-06-24

• Fields of study

  Mathematics, Physics

• Identifiers
  DOI 10.1016/S0960-0779(98)00158-1arXiv hep-th/9806198
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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