{"title":"IIB矩阵模型玻色子主场方程的数值解","authors":"F. Klinkhamer","doi":"10.5506/aphyspolb.53.1-a5","DOIUrl":null,"url":null,"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)","PeriodicalId":7060,"journal":{"name":"Acta Physica Polonica B","volume":"1 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2021-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Towards a Numerical Solution of the Bosonic Master-Field Equation of the IIB Matrix Model\",\"authors\":\"F. Klinkhamer\",\"doi\":\"10.5506/aphyspolb.53.1-a5\",\"DOIUrl\":null,\"url\":null,\"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)\",\"PeriodicalId\":7060,\"journal\":{\"name\":\"Acta Physica Polonica B\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2021-10-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Physica Polonica B\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.5506/aphyspolb.53.1-a5\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Physica Polonica B","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.5506/aphyspolb.53.1-a5","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Towards a Numerical Solution of the Bosonic Master-Field Equation of the IIB Matrix Model
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)
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