{"title":"空间平坦FLRW时空与大爆炸从矩阵几何","authors":"Christian Gaß, Harold C. Steinacker","doi":"10.1016/j.nuclphysb.2025.116988","DOIUrl":null,"url":null,"abstract":"<div><div>We present an expanding, spatially flat (<span><math><mi>k</mi><mo>=</mo><mn>0</mn></math></span>) FLRW quantum spacetime with a Big Bang, considered as a background in Yang-Mills matrix models. The FLRW geometry emerges in the semi-classical limit as a projection from the fuzzy hyperboloid. We analyze the propagation of scalar fields, and demonstrate that their Feynman propagator resembles the Minkowski space Feynman propagator in the semi-classical regime. Moreover, the higher spin modes predicted by the matrix model are described explicitly. These results are compared to recent results on <span><math><mi>k</mi><mo>=</mo><mo>−</mo><mn>1</mn></math></span> FLRW quantum spacetimes with a Big Bounce.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1018 ","pages":"Article 116988"},"PeriodicalIF":2.5000,"publicationDate":"2025-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Spatially flat FLRW spacetimes with a Big Bang from matrix geometry\",\"authors\":\"Christian Gaß, Harold C. Steinacker\",\"doi\":\"10.1016/j.nuclphysb.2025.116988\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>We present an expanding, spatially flat (<span><math><mi>k</mi><mo>=</mo><mn>0</mn></math></span>) FLRW quantum spacetime with a Big Bang, considered as a background in Yang-Mills matrix models. The FLRW geometry emerges in the semi-classical limit as a projection from the fuzzy hyperboloid. We analyze the propagation of scalar fields, and demonstrate that their Feynman propagator resembles the Minkowski space Feynman propagator in the semi-classical regime. Moreover, the higher spin modes predicted by the matrix model are described explicitly. These results are compared to recent results on <span><math><mi>k</mi><mo>=</mo><mo>−</mo><mn>1</mn></math></span> FLRW quantum spacetimes with a Big Bounce.</div></div>\",\"PeriodicalId\":54712,\"journal\":{\"name\":\"Nuclear Physics B\",\"volume\":\"1018 \",\"pages\":\"Article 116988\"},\"PeriodicalIF\":2.5000,\"publicationDate\":\"2025-06-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nuclear Physics B\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S055032132500197X\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, PARTICLES & FIELDS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nuclear Physics B","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S055032132500197X","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, PARTICLES & FIELDS","Score":null,"Total":0}
Spatially flat FLRW spacetimes with a Big Bang from matrix geometry
We present an expanding, spatially flat () FLRW quantum spacetime with a Big Bang, considered as a background in Yang-Mills matrix models. The FLRW geometry emerges in the semi-classical limit as a projection from the fuzzy hyperboloid. We analyze the propagation of scalar fields, and demonstrate that their Feynman propagator resembles the Minkowski space Feynman propagator in the semi-classical regime. Moreover, the higher spin modes predicted by the matrix model are described explicitly. These results are compared to recent results on FLRW quantum spacetimes with a Big Bounce.
期刊介绍:
Nuclear Physics B focuses on the domain of high energy physics, quantum field theory, statistical systems, and mathematical physics, and includes four main sections: high energy physics - phenomenology, high energy physics - theory, high energy physics - experiment, and quantum field theory, statistical systems, and mathematical physics. The emphasis is on original research papers (Frontiers Articles or Full Length Articles), but Review Articles are also welcome.