Vanishing of beta function of non-commutative ϕ 44 theory to all orders
The simplest non-commutative renormalizable field theory, the ϕ4 model on four-dimensional Moyal space with harmonic potential is asymptotically safe up to three loops, as shown by H. Grosse and R. Wulkenhaar, M. Disertori and V. Rivasseau. We extend this result to all orders.
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| Main Authors: | , , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
7 April 2007
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| In: |
Physics letters
Year: 2007, Volume: 649, Issue: 1, Pages: 95-102 |
| ISSN: | 1873-2445 |
| DOI: | 10.1016/j.physletb.2007.04.007 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.physletb.2007.04.007 Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/S0370269307004352 
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| Author Notes: | Margherita Disertori, Razvan Gurau, Jacques Magnen, Vincent Rivasseau |
| Summary: | The simplest non-commutative renormalizable field theory, the ϕ4 model on four-dimensional Moyal space with harmonic potential is asymptotically safe up to three loops, as shown by H. Grosse and R. Wulkenhaar, M. Disertori and V. Rivasseau. We extend this result to all orders. |
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| Item Description: | Im Titel stehen die Zahlen "4 4" übereinander Gesehen am 28.09.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1873-2445 |
| DOI: | 10.1016/j.physletb.2007.04.007 |