nLab
fermion

Context

Physics

physics, mathematical physics, philosophy of physics

Surveys, textbooks and lecture notes


theory (physics), model (physics)

experiment, measurement, computable physics

Fields and quanta

Higher spin geometry

Contents

Idea

A fermion is a particle/quantum field that obeys Fermi-Dirac statistics?. By the spin-statistics theorem, this is the same thing as a particle whose spin is half an integer but not itself an integer.

In the standard model of particle physics and the standard model of cosmology fermions are the matter constituents of the observable universe, as opposed to bosons, which are the quanta of force gauge fields.

The formalization of fermions is in supergeometry: fermion fields are sections of spinor bundles with odd-degree fibers in supergeometry. This is exhibited by what is called Fermi-Dirac statistics? and the Pauli exclusion principle?.

Examples

References

Fermions are named after Enrico Fermi.

For accounts in mathematical physics see for instance

Revised on January 31, 2014 01:13:38 by Urs Schreiber (89.204.138.10)