Towards a Numerical Solution of the Bosonic Master-Field Equation of the IIB Matrix Model

IF 0.9 4区 物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY Acta Physica Polonica B Pub Date : 2021-10-28 DOI:10.5506/aphyspolb.53.1-a5
F. Klinkhamer
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引用次数: 4

Abstract

A direct algebraic solution has been obtained from the full bosonic master-field equation of the IIB matrix model for low dimensionality D = 3 and small matrix size N = 3. A different method is needed for larger values of D and N . Here, we explore an indirect numerical approach and obtain an approximate numerical solution for the nontrivial case (D, N) = (10, 4) with a complex Pfaffian. We also present a suggestion for numerical calculations at larger values of N . Acta Phys. Pol. B arXiv:2110.15309 (v4)
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IIB矩阵模型玻色子主场方程的数值解
对于低维数D = 3,小矩阵尺寸N = 3的IIB矩阵模型的全玻色子主场方程,得到了一个直接的代数解。对于较大的D和N值,需要采用不同的方法。本文探讨了一种间接数值方法,得到了具有复Pfaffian的非平凡情况(D, N) =(10,4)的近似数值解。我们还提出了在较大N值下进行数值计算的建议。学报期刊。波尔。[j] .中国农业科学学报(英文版):2110.15309 (v4)
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Acta Physica Polonica B
Acta Physica Polonica B 物理-物理:综合
CiteScore
1.70
自引率
20.00%
发文量
30
审稿时长
3-8 weeks
期刊介绍: Acta Physica Polonica B covers the following areas of physics: -General and Mathematical Physics- Particle Physics and Field Theory- Nuclear Physics- Theory of Relativity and Astrophysics- Statistical Physics
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