Number-theory renormalization of vacuum energy
High Energy Physics - Lattice
2024-12-06 v1 Number Theory
Abstract
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 squares in the ring of residue classes modulo N.
Keywords
Cite
@article{arxiv.2307.11691,
title = {Number-theory renormalization of vacuum energy},
author = {M. G. Ivanov and V. A. Dudchenko and V. V. Naumov},
journal= {arXiv preprint arXiv:2307.11691},
year = {2024}
}
Comments
33 pages, 7 figures