Renormalization of non-commutative ϕ 44 field theory in x space
In this paper we provide a new proof that the Grosse-Wulkenhaarn on-commutative scalar $$\Phi^4_4$$theory is renormalizable to all orders in perturbation theory, and extend it to more general models with covariant derivatives. Our proof relies solely on a multiscale analysis in x space. We think thi...
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| Hauptverfasser: | , , , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
15 June 2006
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| In: |
Communications in mathematical physics
Year: 2006, Jahrgang: 267, Heft: 2, Pages: 515-542 |
| ISSN: | 1432-0916 |
| DOI: | 10.1007/s00220-006-0055-8 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s00220-006-0055-8
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| Verfasserangaben: | Razvan Gurau, Jacques Magnen, Vincent Rivasseau, Fabien Vignes-Tourneret |
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| 246 | 3 | 3 | |a Renormalization of non-commutative phi four four field theory in x space |
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| 520 | |a In this paper we provide a new proof that the Grosse-Wulkenhaarn on-commutative scalar $$\Phi^4_4$$theory is renormalizable to all orders in perturbation theory, and extend it to more general models with covariant derivatives. Our proof relies solely on a multiscale analysis in x space. We think this proof is simpler. It also allows direct interpretation in terms of the physical positions of the particles and should be more adapted to the future study of these theories (in particular at the non-perturbative or constructive level). | ||
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