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university of Provence - Aix-Marseille I |  |
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university of Provence - Aix-Marseille I | |
| HAL: hal-00122770, version 1 |
| arXiv: hep-th/0612048 |
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| Quantum field theory on projective modules |
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| V. GayralJ. -H. Jureit |
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| (2006) |
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| We propose a general formulation of perturbative quantum field theory on (finitely generated) projective modules over noncommutative algebras. This is the analogue of scalar field theories with non-trivial topology in the noncommutative realm. We treat in detail the case of Heisenberg modules over noncommutative tori and show how these models can be understood as large rectangular pxq matrix models, in the limit p/q->theta, where theta is a possibly irrational number. We find out that the modele is highly sensitive to the number-theoretical aspect of theta and suffers from an UV/IR-mixing. We give a way to cure the entanglement and prove one-loop renormalizability. |
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| 1: | Centre de Physique Théorique (CPT) |
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CNRS : FR2291 – Université de Provence - Aix-Marseille I – Université de la Méditerranée - Aix-Marseille II – Université Sud Toulon Var |
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| Subject | : | Mathematics/Operator Algebras Physics/High Energy Physics - Theory |
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| Fulltext link: |
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| http://fr.arXiv.org/abs/hep-th/0612048 |
| hal-00122770, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00122770 | |
| oai:hal.archives-ouvertes.fr:hal-00122770 | |
| From: Thomas Krajewski | |
| Submitted on: Thursday, 4 January 2007 17:15:21 | |
| Updated on: Thursday, 4 January 2007 17:15:21 | |
