Hello everyone, I would like to know if anyone knows what is the inner product for vector fields ##A_\mu## in curved space-time. Is it just:(adsbygoogle = window.adsbygoogle || []).push({});

$$

(A_\mu,A_\mu)=\int d^4x A_\mu A^\mu =\int d^4x g^{\mu\nu}A_\mu A_\nu

$$

? Do I need extra factors of the metric?

Thanks!

**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!

# Inner product for vector field in curved background

Loading...

Similar Threads - Inner product vector | Date |
---|---|

A I'm getting the wrong inner product of Fock space | Jan 25, 2018 |

B Inner product of functions of continuous variable | Oct 21, 2017 |

I Inner products and adjoint operators | Apr 25, 2016 |

Inner products of vectors in the form of equations. | Dec 29, 2015 |

QFT: Bogolyiubov transformations and KG inner product | Apr 10, 2015 |

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