Number-theory renormalization of vacuum energy
Autor: | Ivanov, M. G., Dudchenko, V. A., Naumov, V. V. |
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Rok vydání: | 2023 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | 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. Comment: 33 pages, 7 figures |
Databáze: | arXiv |
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