Renormalisation of scalar quantum field theory on noncommutative ℝ 4
We give the main ideas our proof that the noncommutative ϕ 4 ‐model is renormalisable to all orders. Compared with the commutative case, the bare action of relevant and marginal couplings contains necessarily an additional term: an harmonic oscillator potential in the free field action which solves...
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| Veröffentlicht in: | Fortschritte der Physik 2005-05, Vol.53 (5-6), p.634-639 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We give the main ideas our proof that the noncommutative ϕ
4
‐model is renormalisable to all orders. Compared with the commutative case, the bare action of relevant and marginal couplings contains necessarily an additional term: an harmonic oscillator potential in the free field action which solves the UV/IR‐mixing problem. |
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| ISSN: | 0015-8208 1521-3978 |
| DOI: | 10.1002/prop.200410231 |