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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...
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Інститут математики НАН України
2011
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/147658 |
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irk-123456789-1476582019-02-16T01:25:36Z Equivalent and Alternative Forms for BF Gravity with Immirzi Parameter Montesinos, M. Velázquez, M. 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. 2011 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/147658 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| language |
English |
| 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. |
| format |
Article |
| author |
Montesinos, M. Velázquez, M. |
| spellingShingle |
Montesinos, M. Velázquez, M. Equivalent and Alternative Forms for BF Gravity with Immirzi Parameter Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Montesinos, M. Velázquez, M. |
| author_sort |
Montesinos, M. |
| title |
Equivalent and Alternative Forms for BF Gravity with Immirzi Parameter |
| 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 |
| publisher |
Інститут математики НАН України |
| publishDate |
2011 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT montesinosm equivalentandalternativeformsforbfgravitywithimmirziparameter AT velazquezm equivalentandalternativeformsforbfgravitywithimmirziparameter |
| first_indexed |
2023-05-20T17:28:05Z |
| last_indexed |
2023-05-20T17:28:05Z |
| _version_ |
1796153361943232512 |