Number-Theory Renormalization of Vacuum Energy

被引：1

作者：

Ivanov, M. G. ^{[1
]}

Dudchenko, V. A. ^{[2
]}

Naumov, V. V. ^{[1
]}

机构：

[1] Moscow Inst Phys & Technol, Inst Pereulok 9, Dolgoprudnyi 141701, Russia

[2] Russian Acad Sci, Vernadsky Inst Geochem & Analyt Chem, Kosygina 19, Moscow 117975, Russia

来源：

P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS | 2023年 / 15卷 / 04期

关键词：

number theory; lattice QFT; vacuum energy; renormalization;

D O I：

10.1134/S2070046623040039

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：284 / 311

页数：28

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