(-1)F

From Wikipedia, the free encyclopedia

This article or section does not adequately cite its references or sources.
Please help improve this article by adding citations to reliable sources. (help, get involved!)
Any material not supported by sources may be challenged and removed at any time. This article has been tagged since March 2007.
The correct title of this article is (-1)F. It features superscript or subscript characters that are substituted or omitted because of technical limitations.

In a quantum field theory with fermions, (−1)F is a unitary, Hermitian, involutive operator which multiplies bosonic states by 1 and fermionic states by −1. This is always a global internal symmetry of any quantum field theory with fermions and corresponds to a rotation by 2π. This splits the Hilbert space into two superselection sectors. Bosonic operators commute with (−1)F whereas fermionic operators anticommute with it.

This operator really shows its utility in supersymmetric theories.


 This quantum mechanics-related article is a stub. You can help Wikipedia by expanding it.
Retrieved from "http://en.wikipedia.org../../../%28/-/1/%28-1%29F_3984.html"