Flowing in Group Field Theory Space: a Review
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 cons...
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| Дата: | 2016 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2016
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147767 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Flowing in Group Field Theory Space: a Review / S. Carrozza // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 87 назв. — англ. |
Репозитарії
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irk-123456789-1477672019-02-16T01:26:11Z Flowing in Group Field Theory Space: a Review Carrozza, S. 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. 2016 Article Flowing in Group Field Theory Space: a Review / S. Carrozza // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 87 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 81T15; 81T16; 83D27; 83C45 DOI:10.3842/SIGMA.2016.070 http://dspace.nbuv.gov.ua/handle/123456789/147767 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Carrozza, S. |
| spellingShingle |
Carrozza, S. Flowing in Group Field Theory Space: a Review Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Carrozza, S. |
| author_sort |
Carrozza, S. |
| title |
Flowing in Group Field Theory Space: a Review |
| title_short |
Flowing in Group Field Theory Space: a Review |
| title_full |
Flowing in Group Field Theory Space: a Review |
| title_fullStr |
Flowing in Group Field Theory Space: a Review |
| title_full_unstemmed |
Flowing in Group Field Theory Space: a Review |
| title_sort |
flowing in group field theory space: a review |
| publisher |
Інститут математики НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147767 |
| citation_txt |
Flowing in Group Field Theory Space: a Review / S. Carrozza // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 87 назв. — англ. |
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Symmetry, Integrability and Geometry: Methods and Applications |
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2023-05-20T17:28:30Z |
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