## Abstract

We use the method of Weyl-gauging in the determination of the Wess-Zumino conformal anomaly action to show that in any even (d= 2k) dimensions all the hierarchy of correlation functions involving traces of the energy-momentum tensor is determined in terms of those of lower orders, up to 2. k. We work out explicitly the case d= 4, and show that in this case in any conformal field theory only the first 4 traced correlators are independent. All the remaining correlators are recursively generated by the first 4. The result is a consequence of the cocycle condition which defines the Wess-Zumino action and of the finite order of its dilaton interactions.

Original language | English |
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Pages (from-to) | 896-905 |

Number of pages | 10 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 726 |

Issue number | 4-5 |

DOIs | |

State | Published - 10 Oct 2013 |

Externally published | Yes |

## ASJC Scopus subject areas

- Nuclear and High Energy Physics