Hi,(adsbygoogle = window.adsbygoogle || []).push({});

if I want to calculate the generating functional for the free Dirac Field, I have to evaluate a general Gaussian Grassmann integral. The Matrix in the argument of the exponential function is (according to a book) given by:

I don't understand the comment with the minus-sign and the integration by parts. I tried to do this integration, but didn't get the same result.

Could anyone tell me, how this integration works explicitly?

Or is there a mistake in the book and in the last line it should be +m (not -m) ?

Regards,

Mr. Fogg

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Integration on the way to Generating Functional for the free Dirac Field

Loading...

Similar Threads - Integration Generating Functional | Date |
---|---|

I Do the SU(n) generators represent any observables? | Feb 14, 2018 |

I Show that the integral of the Dirac delta function is equal to 1 | Feb 10, 2018 |

I Random measurements in QED? | Jan 25, 2018 |

A Path Integral of a Spontaneously Broken Theory | Jan 7, 2018 |

A Collision integral approximation in boltzmann equation | Dec 11, 2017 |

**Physics Forums - The Fusion of Science and Community**