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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2011 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2011
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/147658 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862626162432278528 |
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| author | Montesinos, M. Velázquez, M. |
| author_facet | Montesinos, M. Velázquez, M. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T13:36:44Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147658 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T13:36:44Z |
| publishDate | 2011 |
| publisher | Інститут математики НАН України |
| 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 |
| spellingShingle | Equivalent and Alternative Forms for BF Gravity with Immirzi Parameter Montesinos, M. Velázquez, M. |
| title | 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_short | Equivalent and Alternative Forms for BF Gravity with Immirzi Parameter |
| title_sort | equivalent and alternative forms for bf gravity with immirzi parameter |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147658 |
| work_keys_str_mv | AT montesinosm equivalentandalternativeformsforbfgravitywithimmirziparameter AT velazquezm equivalentandalternativeformsforbfgravitywithimmirziparameter |