Number-Theory Renormalization of Vacuum Energy

IF 0.5 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

P-Adic Numbers Ultrametric Analysis and Applications Pub Date : 2023-12-01 DOI:10.1134/s2070046623040039

引用次数: 0

Abstract

For QFT on a lattice of dimension \(d\geqslant 3\) , 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 \(N\) .

查看原文本刊更多论文

真空能量的数论重正化

摘要对于维数为 \(d\geqslant 3\) 的晶格上的 QFT，如果哈密顿是动量平方的函数，那么真空能（玻色和费米子）为零，并且真空能的计算是在（N）模的残差类环中进行的。这一事实与数论中的一个问题有关，即在模（N）的残差类环中将一个数表示为（d）平方和的方法有多少种。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

P-Adic Numbers Ultrametric Analysis and Applications MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

1.10

自引率

20.00%

发文量

期刊介绍： This is a new international interdisciplinary journal which contains original articles, short communications, and reviews on progress in various areas of pure and applied mathematics related with p-adic, adelic and ultrametric methods, including: mathematical physics, quantum theory, string theory, cosmology, nanoscience, life sciences; mathematical analysis, number theory, algebraic geometry, non-Archimedean and non-commutative geometry, theory of finite fields and rings, representation theory, functional analysis and graph theory; classical and quantum information, computer science, cryptography, image analysis, cognitive models, neural networks and bioinformatics; complex systems, dynamical systems, stochastic processes, hierarchy structures, modeling, control theory, economics and sociology; mesoscopic and nano systems, disordered and chaotic systems, spin glasses, macromolecules, molecular dynamics, biopolymers, genomics and biology; and other related fields.