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The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CPⁿ
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік
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The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CPⁿ
Інший ID:
2010 Mathematics Subject Classification: 81T75
DOI:10.3842/SIGMA.2010.050
DOI:10.3842/SIGMA.2010.050
Посилання:
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.
Підтримка:
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.
Дата:
2010
Переглядів:
457
Завантажень:
237
Анотація:
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.
