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**Kastening, Boris**

**Janke, W. and Pelster, A. and Schmidt, H.-J. and Bachmann, M. (eds.)** (2001):

*Recursive Construction of Feynman Graphs in Spontaneously Broken O(N)-Symmetric F4-Theory.*

In: Fluctuating Paths and Fields, World Scientific Publishing Co., Singapore, [Book Section]

## Abstract

We consider O(N)-symmetric f4-theory in its spontaneously broken phase and investigate how the corresponding one-particle irreducible Feynman graphs with arbitraty numbers of external legs can recursively be constructed. In particular, we sketch the derivation of the necessary identities for the effective energy G (or with trivial modifications, effective action), which subsequently can be converted into recursion relation for graphs. Although the resulting relations will not be as concise as their counterpart in the N = 1 case, they nevertheless should be a useful means for graph generation once implemented on a computer.

Item Type: | Book Section |
---|---|

Erschienen: | 2001 |

Editors: | Janke, W. and Pelster, A. and Schmidt, H.-J. and Bachmann, M. |

Creators: | Kastening, Boris |

Title: | Recursive Construction of Feynman Graphs in Spontaneously Broken O(N)-Symmetric F4-Theory |

Language: | English |

Abstract: | We consider O(N)-symmetric f4-theory in its spontaneously broken phase and investigate how the corresponding one-particle irreducible Feynman graphs with arbitraty numbers of external legs can recursively be constructed. In particular, we sketch the derivation of the necessary identities for the effective energy G (or with trivial modifications, effective action), which subsequently can be converted into recursion relation for graphs. Although the resulting relations will not be as concise as their counterpart in the N = 1 case, they nevertheless should be a useful means for graph generation once implemented on a computer. |

Title of Book: | Fluctuating Paths and Fields |

Publisher: | World Scientific Publishing Co., Singapore |

Divisions: | 11 Department of Materials and Earth Sciences > Material Science > Advanced Thin Film Technology 11 Department of Materials and Earth Sciences > Material Science 11 Department of Materials and Earth Sciences |

Date Deposited: | 04 Jan 2013 12:01 |

Additional Information: | Fluctuating Paths and Fields Dedicated to Hagen Kleinert on the Occasion of His 60th Birthday |

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