Exact partition functions for gauge theories on Rλ3
The noncommutative space Rλ3, a deformation of R3, supports a 3-parameter family of gauge theory models with gauge-invariant harmonic term, stable vacuum and which are perturbatively finite to all orders. Properties of this family are discussed. The partition function factorizes as an infinite produ...
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Elsevier
2016-11-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321316300268 |
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doaj-008c80933c9640dd988b0cc20aa9390a2020-11-24T23:37:59ZengElsevierNuclear Physics B0550-32131873-15622016-11-01912C35437310.1016/j.nuclphysb.2016.04.001Exact partition functions for gauge theories on Rλ3Jean-Christophe WalletThe noncommutative space Rλ3, a deformation of R3, supports a 3-parameter family of gauge theory models with gauge-invariant harmonic term, stable vacuum and which are perturbatively finite to all orders. Properties of this family are discussed. The partition function factorizes as an infinite product of reduced partition functions, each one corresponding to the reduced gauge theory on one of the fuzzy spheres entering the decomposition of Rλ3. For a particular sub-family of gauge theories, each reduced partition function is exactly expressible as a ratio of determinants. A relation with integrable 2-D Toda lattice hierarchy is indicated.http://www.sciencedirect.com/science/article/pii/S0550321316300268 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Jean-Christophe Wallet |
| spellingShingle |
Jean-Christophe Wallet Exact partition functions for gauge theories on Rλ3 Nuclear Physics B |
| author_facet |
Jean-Christophe Wallet |
| author_sort |
Jean-Christophe Wallet |
| title |
Exact partition functions for gauge theories on Rλ3 |
| title_short |
Exact partition functions for gauge theories on Rλ3 |
| title_full |
Exact partition functions for gauge theories on Rλ3 |
| title_fullStr |
Exact partition functions for gauge theories on Rλ3 |
| title_full_unstemmed |
Exact partition functions for gauge theories on Rλ3 |
| title_sort |
exact partition functions for gauge theories on rλ3 |
| publisher |
Elsevier |
| series |
Nuclear Physics B |
| issn |
0550-3213 1873-1562 |
| publishDate |
2016-11-01 |
| description |
The noncommutative space Rλ3, a deformation of R3, supports a 3-parameter family of gauge theory models with gauge-invariant harmonic term, stable vacuum and which are perturbatively finite to all orders. Properties of this family are discussed. The partition function factorizes as an infinite product of reduced partition functions, each one corresponding to the reduced gauge theory on one of the fuzzy spheres entering the decomposition of Rλ3. For a particular sub-family of gauge theories, each reduced partition function is exactly expressible as a ratio of determinants. A relation with integrable 2-D Toda lattice hierarchy is indicated. |
| url |
http://www.sciencedirect.com/science/article/pii/S0550321316300268 |
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AT jeanchristophewallet exactpartitionfunctionsforgaugetheoriesonrl3 |
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