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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2012-01-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.3842/SIGMA.2012.002 |
| _version_ | 1818304913523867648 |
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| author | Benjamin Bahr Rodolfo Gambini Jorge Pullin |
| author_facet | Benjamin Bahr Rodolfo Gambini Jorge Pullin |
| author_sort | Benjamin Bahr |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-13T06:18:15Z |
| format | Article |
| id | doaj.art-72b87374230a47649d1342ec6f834742 |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-12-13T06:18:15Z |
| publishDate | 2012-01-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-72b87374230a47649d1342ec6f8347422022-12-21T23:56:55ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592012-01-018002Discretisations, Constraints and Diffeomorphisms in Quantum GravityBenjamin BahrRodolfo GambiniJorge PullinIn 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.http://dx.doi.org/10.3842/SIGMA.2012.002quantum gravitydiffeomorphismsconstraintsconsistent discretizationsgauge symmetriesperfect actionsrenormalization |
| spellingShingle | Benjamin Bahr Rodolfo Gambini Jorge Pullin Discretisations, Constraints and Diffeomorphisms in Quantum Gravity Symmetry, Integrability and Geometry: Methods and Applications quantum gravity diffeomorphisms constraints consistent discretizations gauge symmetries perfect actions renormalization |
| 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 |
| topic | quantum gravity diffeomorphisms constraints consistent discretizations gauge symmetries perfect actions renormalization |
| url | http://dx.doi.org/10.3842/SIGMA.2012.002 |
| work_keys_str_mv | AT benjaminbahr discretisationsconstraintsanddiffeomorphismsinquantumgravity AT rodolfogambini discretisationsconstraintsanddiffeomorphismsinquantumgravity AT jorgepullin discretisationsconstraintsanddiffeomorphismsinquantumgravity |