The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CPⁿ
We perform a high-temperature expansion of scalar quantum field theory on fuzzy CPⁿ 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...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2010 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2010
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146343 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CPⁿ / C. Sämann // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 22 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862535176318353408 |
|---|---|
| author | Sämann, C. |
| author_facet | Sämann, C. |
| citation_txt | The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CPⁿ / C. Sämann // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 22 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We perform a high-temperature expansion of scalar quantum field theory on fuzzy CPⁿ 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 CP¹.
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| first_indexed | 2025-11-24T09:16:58Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146343 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-24T09:16:58Z |
| publishDate | 2010 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Sämann, C. 2019-02-09T08:59:43Z 2019-02-09T08:59:43Z 2010 The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CPⁿ / C. Sämann // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 22 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 81T75 DOI:10.3842/SIGMA.2010.050 https://nasplib.isofts.kiev.ua/handle/123456789/146343 We perform a high-temperature expansion of scalar quantum field theory on fuzzy CPⁿ 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 CP¹. This paper is a contribution to the Special Issue “Noncommutative Spaces and Fields”. The full collection is available at http://www.emis.de/journals/SIGMA/noncommutative.html.
 I would like to thank Denjoe O’Connor, Richard Szabo and Miguel Tierz for helpful discussions and comments on a draft of this paper. I am also grateful to Denjoe O’Connor for bringing this problem to my attention two years ago and for collaborating on the previous paper [5]. This work was supported by a Career Acceleration Fellowship from the UK Engineering and Physical Sciences Research Council. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CPⁿ Article published earlier |
| spellingShingle | The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CPⁿ Sämann, C. |
| title | The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CPⁿ |
| title_full | The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CPⁿ |
| title_fullStr | The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CPⁿ |
| title_full_unstemmed | The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CPⁿ |
| title_short | The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CPⁿ |
| title_sort | multitrace matrix model of scalar field theory on fuzzy cpⁿ |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146343 |
| work_keys_str_mv | AT samannc themultitracematrixmodelofscalarfieldtheoryonfuzzycpn AT samannc multitracematrixmodelofscalarfieldtheoryonfuzzycpn |