The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CP^n
We perform a high-temperature expansion of scalar quantum field theory on fuzzy CP^n to third order in the inverse temperature. Using group theoretical methods, we rewrite the result as a multitrace matrix model. The partition function of this matrix model is evaluated via the saddle point method an...
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2010-06-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.3842/SIGMA.2010.050 |
| _version_ | 1818539684522885120 |
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| author | Christian Sämann |
| author_facet | Christian Sämann |
| author_sort | Christian Sämann |
| collection | DOAJ |
| description | We perform a high-temperature expansion of scalar quantum field theory on fuzzy CP^n to third order in the inverse temperature. Using group theoretical methods, we rewrite the result as a multitrace matrix model. The partition function of this matrix model is evaluated via the saddle point method and the phase diagram is analyzed for various n. Our results confirm the findings of a previous numerical study of this phase diagram for CP^1. |
| first_indexed | 2024-12-11T21:45:21Z |
| format | Article |
| id | doaj.art-8b59fe68b8444778a9e9453e266c4576 |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-12-11T21:45:21Z |
| publishDate | 2010-06-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-8b59fe68b8444778a9e9453e266c45762022-12-22T00:49:40ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592010-06-016050The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CP^nChristian SämannWe perform a high-temperature expansion of scalar quantum field theory on fuzzy CP^n to third order in the inverse temperature. Using group theoretical methods, we rewrite the result as a multitrace matrix model. The partition function of this matrix model is evaluated via the saddle point method and the phase diagram is analyzed for various n. Our results confirm the findings of a previous numerical study of this phase diagram for CP^1.http://dx.doi.org/10.3842/SIGMA.2010.050matrix modelsfuzzy geometry |
| spellingShingle | Christian Sämann The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CP^n Symmetry, Integrability and Geometry: Methods and Applications matrix models fuzzy geometry |
| title | The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CP^n |
| title_full | The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CP^n |
| title_fullStr | The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CP^n |
| title_full_unstemmed | The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CP^n |
| title_short | The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CP^n |
| title_sort | multitrace matrix model of scalar field theory on fuzzy cp n |
| topic | matrix models fuzzy geometry |
| url | http://dx.doi.org/10.3842/SIGMA.2010.050 |
| work_keys_str_mv | AT christiansamann themultitracematrixmodelofscalarfieldtheoryonfuzzycpn AT christiansamann multitracematrixmodelofscalarfieldtheoryonfuzzycpn |