Discretisations, Constraints and Diffeomorphisms in Quantum Gravity
In this review we discuss the interplay between discretization, constraint implementation, and diffeomorphism symmetry in Loop Quantum Gravity and Spin Foam models. To this end we review the Consistent Discretizations approach, which is an application of the master constraint program to construct th...
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| Дата: | 2012 |
|---|---|
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2012
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148367 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Discretisations, Constraints and Diffeomorphisms in Quantum Gravity / B. Bahr, R. Gambini, J. Pullin // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 67 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-148367 |
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irk-123456789-1483672019-02-19T01:28:26Z Discretisations, Constraints and Diffeomorphisms in Quantum Gravity Bahr, B. Gambini, R. Pullin, J. In this review we discuss the interplay between discretization, constraint implementation, and diffeomorphism symmetry in Loop Quantum Gravity and Spin Foam models. To this end we review the Consistent Discretizations approach, which is an application of the master constraint program to construct the physical Hilbert space of the canonical theory, as well as the Perfect Actions approach, which aims at finding a path integral measure with the correct symmetry behavior under diffeomorphisms. 2012 Article Discretisations, Constraints and Diffeomorphisms in Quantum Gravity / B. Bahr, R. Gambini, J. Pullin // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 67 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 37M99; 70H45; 81T17; 82B28; 83C27; 83C45 DOI: http://dx.doi.org/10.3842/SIGMA.2012.002 http://dspace.nbuv.gov.ua/handle/123456789/148367 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
In this review we discuss the interplay between discretization, constraint implementation, and diffeomorphism symmetry in Loop Quantum Gravity and Spin Foam models. To this end we review the Consistent Discretizations approach, which is an application of the master constraint program to construct the physical Hilbert space of the canonical theory, as well as the Perfect Actions approach, which aims at finding a path integral measure with the correct symmetry behavior under diffeomorphisms. |
| format |
Article |
| author |
Bahr, B. Gambini, R. Pullin, J. |
| spellingShingle |
Bahr, B. Gambini, R. Pullin, J. Discretisations, Constraints and Diffeomorphisms in Quantum Gravity Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Bahr, B. Gambini, R. Pullin, J. |
| author_sort |
Bahr, B. |
| title |
Discretisations, Constraints and Diffeomorphisms in Quantum Gravity |
| title_short |
Discretisations, Constraints and Diffeomorphisms in Quantum Gravity |
| title_full |
Discretisations, Constraints and Diffeomorphisms in Quantum Gravity |
| title_fullStr |
Discretisations, Constraints and Diffeomorphisms in Quantum Gravity |
| title_full_unstemmed |
Discretisations, Constraints and Diffeomorphisms in Quantum Gravity |
| title_sort |
discretisations, constraints and diffeomorphisms in quantum gravity |
| publisher |
Інститут математики НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148367 |
| citation_txt |
Discretisations, Constraints and Diffeomorphisms in Quantum Gravity / B. Bahr, R. Gambini, J. Pullin // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 67 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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2023-05-20T17:30:03Z |
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