Number-Theory Renormalization of Vacuum Energy

For QFT on a lattice of dimension , 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 . This fact is related to a problem from number theor...

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Published inP-adic numbers, ultrametric analysis, and applications Vol. 15; no. 4; pp. 284 - 311
Main Authors Ivanov, M. G., Dudchenko, V. A., Naumov, V. V.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.12.2023
Springer Nature B.V
Subjects
14/34
639/766/189
639/766/530
639/766/747
Algebra
Hamiltonian functions
Mathematics
Mathematics and Statistics
Number theory
Residues
vacuum energy
lattice QFT
renormalization
number theory
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Summary:For QFT on a lattice of dimension , 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 . 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 .
ISSN:2070-0466
2070-0474
DOI:10.1134/S2070046623040039