Parametric representation of noncommutative field theory
In this paper we investigate the Schwinger parametric representation for the Feynman amplitudes of the recently discovered renormalizable $${\phi^{4}_4}$$quantum field theory on the Moyal non commutative $${\mathbb R^{4}}$$space. This representation involves new hyperbolic polynomials which are the...
Gespeichert in:
| Hauptverfasser: | , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
3 April 2007
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| In: |
Communications in mathematical physics
Year: 2007, Jahrgang: 272, Heft: 3, Pages: 811-835 |
| ISSN: | 1432-0916 |
| DOI: | 10.1007/s00220-007-0215-5 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s00220-007-0215-5
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| Verfasserangaben: | Razvan Gurau, Vincent Rivasseau |
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| 520 | |a In this paper we investigate the Schwinger parametric representation for the Feynman amplitudes of the recently discovered renormalizable $${\phi^{4}_4}$$quantum field theory on the Moyal non commutative $${\mathbb R^{4}}$$space. This representation involves new hyperbolic polynomials which are the non-commutative analogs of the usual “Kirchoff” or “Symanzik” polynomials of commutative field theory, but contain richer topological information. | ||
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