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

In Polchinski's string theory text he asserts (volume 1, section 3.4) that the trace of the energy-momentum tensor of a classically scale -invariant theory becomes proportional in the quantum theory to the beta function of the coupling, as a general point of QFT. This makes a kind of intuitive sense, but does anyone know of a reference that demonstrates the proportionality more precisely?

Can I also ask if anyone is aware of a similar connection in general between the trace of the energy-momentum tensor and the beta function of an arbitrary (i.e. non-conformal) theory?

Thanks in advance.

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

Dismiss Notice

Join Physics Forums Today!

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

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

# Beta functions and the energy-momentum tensor

Loading...

Similar Threads - Beta functions energy | Date |
---|---|

Current conservation beta function | May 18, 2015 |

Strong force and beta function | Jan 5, 2015 |

Invariance of beta function in dimensional regularization? | Dec 15, 2013 |

How to determine SU(3) multiplicity in beta function | Jun 20, 2013 |

How to determine quantum numbers for beta functions? | Jun 18, 2013 |

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