Generalized Gross-Neveu Universality Class with Non-Abelian Symmetry
We use the large critical point formalism to compute -dimensional critical exponents at several orders in 1/ in an Ising Gross-Neveu universality class where the core interaction includes a Lie group generator. Specifying a particular symmetry group or taking the abelian limit of the final exponent...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2021 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2021
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/211359 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Generalized Gross-Neveu Universality Class with Non-Abelian Symmetry. John A. Gracey. SIGMA 17 (2021), 064, 20 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862737700872781824 |
|---|---|
| author | Gracey, John A. |
| author_facet | Gracey, John A. |
| citation_txt | Generalized Gross-Neveu Universality Class with Non-Abelian Symmetry. John A. Gracey. SIGMA 17 (2021), 064, 20 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We use the large critical point formalism to compute -dimensional critical exponents at several orders in 1/ in an Ising Gross-Neveu universality class where the core interaction includes a Lie group generator. Specifying a particular symmetry group or taking the abelian limit of the final exponents recovers known results but also provides expressions for any Lie group or fermion representation.
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| first_indexed | 2026-04-17T16:58:23Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211359 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-04-17T16:58:23Z |
| publishDate | 2021 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Gracey, John A. 2025-12-30T15:55:24Z 2021 Generalized Gross-Neveu Universality Class with Non-Abelian Symmetry. John A. Gracey. SIGMA 17 (2021), 064, 20 pages 1815-0659 2020 Mathematics Subject Classification: 81T17; 81T18; 81V25; 82B27 arXiv:2102.12767 https://nasplib.isofts.kiev.ua/handle/123456789/211359 https://doi.org/10.3842/SIGMA.2021.064 We use the large critical point formalism to compute -dimensional critical exponents at several orders in 1/ in an Ising Gross-Neveu universality class where the core interaction includes a Lie group generator. Specifying a particular symmetry group or taking the abelian limit of the final exponents recovers known results but also provides expressions for any Lie group or fermion representation. This work was fully supported by a DFG Mercator Fellowship and in part by the STFC Consolidated ST/T000988/1. The graphs were drawn with the Axodraw package [6]. Computations were carried out in part using the symbolic manipulation language Form [37, 46]. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Generalized Gross-Neveu Universality Class with Non-Abelian Symmetry Article published earlier |
| spellingShingle | Generalized Gross-Neveu Universality Class with Non-Abelian Symmetry Gracey, John A. |
| title | Generalized Gross-Neveu Universality Class with Non-Abelian Symmetry |
| title_full | Generalized Gross-Neveu Universality Class with Non-Abelian Symmetry |
| title_fullStr | Generalized Gross-Neveu Universality Class with Non-Abelian Symmetry |
| title_full_unstemmed | Generalized Gross-Neveu Universality Class with Non-Abelian Symmetry |
| title_short | Generalized Gross-Neveu Universality Class with Non-Abelian Symmetry |
| title_sort | generalized gross-neveu universality class with non-abelian symmetry |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211359 |
| work_keys_str_mv | AT graceyjohna generalizedgrossneveuuniversalityclasswithnonabeliansymmetry |