Kastening, Boris
Hrsg.: Janke, W. ; Pelster, A. ; Schmidt, H.-J. ; Bachmann, M. (2001)
Recursive Construction of Feynman Graphs in Spontaneously Broken O(N)-Symmetric F4-Theory.
In: Fluctuating Paths and Fields
Buchkapitel, Bibliographie
Kurzbeschreibung (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.
| Typ des Eintrags: | Buchkapitel |
|---|---|
| Erschienen: | 2001 |
| Herausgeber: | Janke, W. ; Pelster, A. ; Schmidt, H.-J. ; Bachmann, M. |
| Autor(en): | Kastening, Boris |
| Art des Eintrags: | Bibliographie |
| Titel: | Recursive Construction of Feynman Graphs in Spontaneously Broken O(N)-Symmetric F4-Theory |
| Sprache: | Englisch |
| Publikationsjahr: | 2001 |
| Verlag: | World Scientific Publishing Co., Singapore |
| Buchtitel: | Fluctuating Paths and Fields |
| Kurzbeschreibung (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. |
| Zusätzliche Informationen: | Fluctuating Paths and Fields Dedicated to Hagen Kleinert on the Occasion of His 60th Birthday |
| Fachbereich(e)/-gebiet(e): | 11 Fachbereich Material- und Geowissenschaften > Materialwissenschaft > Fachgebiet Dünne Schichten 11 Fachbereich Material- und Geowissenschaften > Materialwissenschaft 11 Fachbereich Material- und Geowissenschaften |
| Hinterlegungsdatum: | 04 Jan 2013 12:01 |
| Letzte Änderung: | 05 Mär 2013 10:04 |
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