Equivalent and Alternative Forms for BF Gravity with Immirzi Parameter
A detailed analysis of the BF formulation for general relativity given by Capovilla, Montesinos, Prieto, and Rojas is performed. The action principle of this formulation is written in an equivalent form by doing a transformation of the fields of which the action depends functionally on. The transfor...
Збережено в:
| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2011 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2011
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/147658 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Equivalent and Alternative Forms for BF Gravity with Immirzi Parameter / M. Montesinos, M. Velázquez // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 26 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-147658 |
|---|---|
| record_format |
dspace |
| spelling |
Montesinos, M. Velázquez, M. 2019-02-15T17:03:51Z 2019-02-15T17:03:51Z 2011 Equivalent and Alternative Forms for BF Gravity with Immirzi Parameter / M. Montesinos, M. Velázquez // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 26 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 83C05; 83C45 https://nasplib.isofts.kiev.ua/handle/123456789/147658 A detailed analysis of the BF formulation for general relativity given by Capovilla, Montesinos, Prieto, and Rojas is performed. The action principle of this formulation is written in an equivalent form by doing a transformation of the fields of which the action depends functionally on. The transformed action principle involves two BF terms and the two Lorentz invariants that appear in the original action principle generically. As an application of this formalism, the action principle used by Engle, Pereira, and Rovelli in their spin foam model for gravity is recovered and the coupling of the cosmological constant in such a formulation is obtained. This paper is a contribution to the Special Issue “Loop Quantum Gravity and Cosmology”. The full collection is available at http://www.emis.de/journals/SIGMA/LQGC.html. This work was partially supported by Conacyt, grant number 56159-F. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Equivalent and Alternative Forms for BF Gravity with Immirzi Parameter Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Equivalent and Alternative Forms for BF Gravity with Immirzi Parameter |
| spellingShingle |
Equivalent and Alternative Forms for BF Gravity with Immirzi Parameter Montesinos, M. Velázquez, M. |
| title_short |
Equivalent and Alternative Forms for BF Gravity with Immirzi Parameter |
| title_full |
Equivalent and Alternative Forms for BF Gravity with Immirzi Parameter |
| title_fullStr |
Equivalent and Alternative Forms for BF Gravity with Immirzi Parameter |
| title_full_unstemmed |
Equivalent and Alternative Forms for BF Gravity with Immirzi Parameter |
| title_sort |
equivalent and alternative forms for bf gravity with immirzi parameter |
| author |
Montesinos, M. Velázquez, M. |
| author_facet |
Montesinos, M. Velázquez, M. |
| publishDate |
2011 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
A detailed analysis of the BF formulation for general relativity given by Capovilla, Montesinos, Prieto, and Rojas is performed. The action principle of this formulation is written in an equivalent form by doing a transformation of the fields of which the action depends functionally on. The transformed action principle involves two BF terms and the two Lorentz invariants that appear in the original action principle generically. As an application of this formalism, the action principle used by Engle, Pereira, and Rovelli in their spin foam model for gravity is recovered and the coupling of the cosmological constant in such a formulation is obtained.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/147658 |
| citation_txt |
Equivalent and Alternative Forms for BF Gravity with Immirzi Parameter / M. Montesinos, M. Velázquez // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 26 назв. — англ. |
| work_keys_str_mv |
AT montesinosm equivalentandalternativeformsforbfgravitywithimmirziparameter AT velazquezm equivalentandalternativeformsforbfgravitywithimmirziparameter |
| first_indexed |
2025-12-07T13:36:44Z |
| last_indexed |
2025-12-07T13:36:44Z |
| _version_ |
1850856811888902144 |