Number-theory renormalization of vacuum energy
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866910727569145856 |
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| author | Ivanov, M. G. Dudchenko, V. A. Naumov, V. V. |
| author_facet | Ivanov, M. G. Dudchenko, V. A. Naumov, V. V. |
| contents | For QFT on a lattice of dimension d>=3, the vacuum energy (both bosonic and fermionic) is zero if the Hamiltonian is a function of the square of the momentum, and the calculation of the vacuum energy is performed in the ring of residue classes modulo N. This fact is related to a problem from number theory about the number of ways to represent a number as a sum of $d$ squares in the ring of residue classes modulo N. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_11691 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Number-theory renormalization of vacuum energy Ivanov, M. G. Dudchenko, V. A. Naumov, V. V. High Energy Physics - Lattice Number Theory 81T25 (Primary) 81P05, 11A15, 11P05 (Secondary) G.2.3 For QFT on a lattice of dimension d>=3, the vacuum energy (both bosonic and fermionic) is zero if the Hamiltonian is a function of the square of the momentum, and the calculation of the vacuum energy is performed in the ring of residue classes modulo N. This fact is related to a problem from number theory about the number of ways to represent a number as a sum of $d$ squares in the ring of residue classes modulo N. |
| title | Number-theory renormalization of vacuum energy |
| topic | High Energy Physics - Lattice Number Theory 81T25 (Primary) 81P05, 11A15, 11P05 (Secondary) G.2.3 |
| url | https://arxiv.org/abs/2307.11691 |