Relational Observables in Gravity: a Review
We present an overview on relational observables in gravity mainly from a loop quantum gravity perspective. The gauge group of general relativity is the diffeomorphism group of the underlying manifold. Consequently, general relativity is a totally constrained theory with vanishing canonical Hamilton...
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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2012 |
| Автор: | |
| 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/123456789/148389 |
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| Цитувати: | Relational Observables in Gravity: a Review / J. Tambornino // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 72 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-148389 |
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irk-123456789-1483892019-02-19T01:30:52Z Relational Observables in Gravity: a Review Tambornino, J. We present an overview on relational observables in gravity mainly from a loop quantum gravity perspective. The gauge group of general relativity is the diffeomorphism group of the underlying manifold. Consequently, general relativity is a totally constrained theory with vanishing canonical Hamiltonian. This fact, often referred to as the problem of time, provides the main conceptual difficulty towards the construction of gauge-invariant local observables. Nevertheless, within the framework of complete observables, that encode relations between dynamical fields, progress has been made during the last 20 years. Although analytic control over observables for full gravity is still lacking, perturbative calculations have been performed and within de-parameterizable toy models it was possible for the first time to construct a full set of gauge invariant observables for a background independent field theory. We review these developments and comment on their implications for quantum gravity. 2012 Article Relational Observables in Gravity: a Review / J. Tambornino // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 72 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 83C45; 83C05; 81S05 DOI: http://dx.doi.org/10.3842/SIGMA.2012.017 http://dspace.nbuv.gov.ua/handle/123456789/148389 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 |
We present an overview on relational observables in gravity mainly from a loop quantum gravity perspective. The gauge group of general relativity is the diffeomorphism group of the underlying manifold. Consequently, general relativity is a totally constrained theory with vanishing canonical Hamiltonian. This fact, often referred to as the problem of time, provides the main conceptual difficulty towards the construction of gauge-invariant local observables. Nevertheless, within the framework of complete observables, that encode relations between dynamical fields, progress has been made during the last 20 years. Although analytic control over observables for full gravity is still lacking, perturbative calculations have been performed and within de-parameterizable toy models it was possible for the first time to construct a full set of gauge invariant observables for a background independent field theory. We review these developments and comment on their implications for quantum gravity. |
| format |
Article |
| author |
Tambornino, J. |
| spellingShingle |
Tambornino, J. Relational Observables in Gravity: a Review Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Tambornino, J. |
| author_sort |
Tambornino, J. |
| title |
Relational Observables in Gravity: a Review |
| title_short |
Relational Observables in Gravity: a Review |
| title_full |
Relational Observables in Gravity: a Review |
| title_fullStr |
Relational Observables in Gravity: a Review |
| title_full_unstemmed |
Relational Observables in Gravity: a Review |
| title_sort |
relational observables in gravity: a review |
| publisher |
Інститут математики НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148389 |
| citation_txt |
Relational Observables in Gravity: a Review / J. Tambornino // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 72 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT tamborninoj relationalobservablesingravityareview |
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2023-05-20T17:30:26Z |
| last_indexed |
2023-05-20T17:30:26Z |
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