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Flowing in Group Field Theory Space: a Review
Репозиторій DSpace/Manakin
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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, 2016, том 12
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- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік
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Flowing in Group Field Theory Space: a Review
Інший ID:
2010 Mathematics Subject Classification: 81T15; 81T16; 83D27; 83C45
DOI:10.3842/SIGMA.2016.070
DOI:10.3842/SIGMA.2016.070
Посилання:
Flowing in Group Field Theory Space: a Review / S. Carrozza // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 87 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue on Tensor Models, Formalism and Applications. The full
collection is available at http://www.emis.de/journals/SIGMA/Tensor Models.html.
The author acknowledges support from the ANR JCJC CombPhysMat2Tens grant.
Дата:
2016
Переглядів:
506
Завантажень:
223
Анотація:
We provide a non-technical overview of recent extensions of renormalization methods and techniques to Group Field Theories (GFTs), a class of combinatorially non-local quantum field theories which generalize matrix models to dimension d≥3. More precisely, we focus on GFTs with so-called closure constraint, which are closely related to lattice gauge theories and quantum gravity spin foam models. With the help of recent tensor model tools, a rich landscape of renormalizable theories has been unravelled. We review our current understanding of their renormalization group flows, at both perturbative and non-perturbative levels.
