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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2016 |
| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2016
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147767 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862739995626831872 |
|---|---|
| author | Carrozza, S. |
| author_facet | Carrozza, S. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T20:12:35Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147767 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T20:12:35Z |
| publishDate | 2016 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Carrozza, S. 2019-02-15T19:18:03Z 2019-02-15T19:18:03Z 2016 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 https://nasplib.isofts.kiev.ua/handle/123456789/147767 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Flowing in Group Field Theory Space: a Review Article published earlier |
| spellingShingle | Flowing in Group Field Theory Space: a Review Carrozza, S. |
| title | 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_short | Flowing in Group Field Theory Space: a Review |
| title_sort | flowing in group field theory space: a review |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147767 |
| work_keys_str_mv | AT carrozzas flowingingroupfieldtheoryspaceareview |