# Grassmann Variable

## Scattered off Grassman Variable

*118*articles on

the Psi Epsilon Wikia

This |

Quantum Field Theory
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... no spooky action at a distance (Einstein)
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Early Results
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Relativistic Quantum Mechanics
| Klein-Gordon Equation Dirac Equation | |

The Dawn of QFT
| Spinors Spin Feynman Slash Notation Antimatter Klein-Gordon Field Dirac Field Renormalisation Grassman Variable Conformal Field Theory | |

Countdown to the Standard Model
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From a framework to a model
| Yang-Mills Theory Quantum Electrodynamics Quantum Chromodynamics Electroweak Theory Higgs Mechanism Standard Model | |

Semi-Classical Gravity and the Dark Age
| Hawking Radiation Chandrashekhar Limit Inflation Problems with the Standard Model | |

Outlook
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Beyond the Standard Model
| Beyond the Standard Model Quantum Gravity Theory of Everything | |

Related
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Related
| De Donder-Weyl Theory | |

A **Grassmann Variable** or Grassmann Number is a "number" which anticommutes with other Grassmann numbers:

There are matrices for which this equation is true. But most uses of Grassmann variables in physics do not require an explicit representation; only the algebra is needed.

Grassmann Variables allow the construction of Path Integrals for Fermions. This was worked out by David John Candlin and later by Felix Berezin.