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

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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