How-to Compute EPRL Spin Foam Amplitudes
Spin foam theory is a concrete framework for quantum gravity where numerical calculations of transition amplitudes are possible. Recently, the field became very active, but the entry barrier is steep, mainly because of its unusual language and notions scattered around the literature. This paper is a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-03-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/8/4/208 |
| _version_ | 1797434160935075840 |
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| author | Pietro Donà Pietropaolo Frisoni |
| author_facet | Pietro Donà Pietropaolo Frisoni |
| author_sort | Pietro Donà |
| collection | DOAJ |
| description | Spin foam theory is a concrete framework for quantum gravity where numerical calculations of transition amplitudes are possible. Recently, the field became very active, but the entry barrier is steep, mainly because of its unusual language and notions scattered around the literature. This paper is a pedagogical guide to spin foam transition amplitude calculations. We show how to write an EPRL-FK transition amplitude, from the definition of the 2-complex to its numerical implementation using sl2cfoam-next. We guide the reader using an explicit example balancing mathematical rigor with a practical approach. We discuss the advantages and disadvantages of our strategy and provide a novel look at a recently proposed approximation scheme. |
| first_indexed | 2024-03-09T10:28:14Z |
| format | Article |
| id | doaj.art-79a771eac8024995be31aba2f6534c0c |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-09T10:28:14Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-79a771eac8024995be31aba2f6534c0c2023-12-01T21:29:55ZengMDPI AGUniverse2218-19972022-03-018420810.3390/universe8040208How-to Compute EPRL Spin Foam AmplitudesPietro Donà0Pietropaolo Frisoni1Center for Space, Time and the Quantum, 13288 Marseille, FranceDepartment of Physics and Astronomy, University of Western Ontario, London, ON N6A 5B7, CanadaSpin foam theory is a concrete framework for quantum gravity where numerical calculations of transition amplitudes are possible. Recently, the field became very active, but the entry barrier is steep, mainly because of its unusual language and notions scattered around the literature. This paper is a pedagogical guide to spin foam transition amplitude calculations. We show how to write an EPRL-FK transition amplitude, from the definition of the 2-complex to its numerical implementation using sl2cfoam-next. We guide the reader using an explicit example balancing mathematical rigor with a practical approach. We discuss the advantages and disadvantages of our strategy and provide a novel look at a recently proposed approximation scheme.https://www.mdpi.com/2218-1997/8/4/208loop quantum gravityspin foamnumerical calculations |
| spellingShingle | Pietro Donà Pietropaolo Frisoni How-to Compute EPRL Spin Foam Amplitudes Universe loop quantum gravity spin foam numerical calculations |
| title | How-to Compute EPRL Spin Foam Amplitudes |
| title_full | How-to Compute EPRL Spin Foam Amplitudes |
| title_fullStr | How-to Compute EPRL Spin Foam Amplitudes |
| title_full_unstemmed | How-to Compute EPRL Spin Foam Amplitudes |
| title_short | How-to Compute EPRL Spin Foam Amplitudes |
| title_sort | how to compute eprl spin foam amplitudes |
| topic | loop quantum gravity spin foam numerical calculations |
| url | https://www.mdpi.com/2218-1997/8/4/208 |
| work_keys_str_mv | AT pietrodona howtocomputeeprlspinfoamamplitudes AT pietropaolofrisoni howtocomputeeprlspinfoamamplitudes |