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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2012 |
| ISSN: | 1815-0659 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2012
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148367 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862570988557828096 |
|---|---|
| author | Bahr, B. Gambini, R. Pullin, J. |
| author_facet | Bahr, B. Gambini, R. Pullin, J. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-11-26T03:20:35Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148367 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-26T03:20:35Z |
| publishDate | 2012 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Bahr, B. Gambini, R. Pullin, J. 2019-02-18T11:02:54Z 2019-02-18T11:02:54Z 2012 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 https://nasplib.isofts.kiev.ua/handle/123456789/148367 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Discretisations, Constraints and Diffeomorphisms in Quantum Gravity Article published earlier |
| spellingShingle | Discretisations, Constraints and Diffeomorphisms in Quantum Gravity Bahr, B. Gambini, R. Pullin, J. |
| title | 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_short | Discretisations, Constraints and Diffeomorphisms in Quantum Gravity |
| title_sort | discretisations, constraints and diffeomorphisms in quantum gravity |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148367 |
| work_keys_str_mv | AT bahrb discretisationsconstraintsanddiffeomorphismsinquantumgravity AT gambinir discretisationsconstraintsanddiffeomorphismsinquantumgravity AT pullinj discretisationsconstraintsanddiffeomorphismsinquantumgravity |