{"title":"引力波与杨-米尔斯场的相互作用","authors":"Narasimha Reddy Gosala, Arundhati Dasgupta","doi":"10.1007/s10714-024-03221-z","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we discuss the interaction of non-Abelian SU(2) Yang–Mills progressive waves with gravitational waves. We solve and obtain some interesting solutions to pure Yang–Mills equations in different backgrounds, and perturbative solutions induced due to gravitational waves. These perturbations show ‘beat patterns’ and depending on boundary conditions, changes in frequency. In flat space-time, when the Yang–Mills fields and the gravitational waves are in the same direction there is no interaction, unless there is self interaction of the Yang–Mills fields. In the system with non-zero self interaction the amplitudes of the perturbation are inversely proportional to the Yang–Mills coupling constant. In a cosmological background, the Yang–Mills fields and the gravitational wave interact when they are in the same direction even without self interaction of the Yang–Mills progressive fields. We find that in the electroweak symmetry broken phase of the gauge fields, the interactions are perturbative only for an infinitesimal time.\n</p>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":null,"pages":null},"PeriodicalIF":2.1000,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Interaction of gravitational waves with Yang–Mills fields\",\"authors\":\"Narasimha Reddy Gosala, Arundhati Dasgupta\",\"doi\":\"10.1007/s10714-024-03221-z\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this paper, we discuss the interaction of non-Abelian SU(2) Yang–Mills progressive waves with gravitational waves. We solve and obtain some interesting solutions to pure Yang–Mills equations in different backgrounds, and perturbative solutions induced due to gravitational waves. These perturbations show ‘beat patterns’ and depending on boundary conditions, changes in frequency. In flat space-time, when the Yang–Mills fields and the gravitational waves are in the same direction there is no interaction, unless there is self interaction of the Yang–Mills fields. In the system with non-zero self interaction the amplitudes of the perturbation are inversely proportional to the Yang–Mills coupling constant. In a cosmological background, the Yang–Mills fields and the gravitational wave interact when they are in the same direction even without self interaction of the Yang–Mills progressive fields. We find that in the electroweak symmetry broken phase of the gauge fields, the interactions are perturbative only for an infinitesimal time.\\n</p>\",\"PeriodicalId\":578,\"journal\":{\"name\":\"General Relativity and Gravitation\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.1000,\"publicationDate\":\"2024-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"General Relativity and Gravitation\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1007/s10714-024-03221-z\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ASTRONOMY & ASTROPHYSICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"General Relativity and Gravitation","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1007/s10714-024-03221-z","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
Interaction of gravitational waves with Yang–Mills fields
In this paper, we discuss the interaction of non-Abelian SU(2) Yang–Mills progressive waves with gravitational waves. We solve and obtain some interesting solutions to pure Yang–Mills equations in different backgrounds, and perturbative solutions induced due to gravitational waves. These perturbations show ‘beat patterns’ and depending on boundary conditions, changes in frequency. In flat space-time, when the Yang–Mills fields and the gravitational waves are in the same direction there is no interaction, unless there is self interaction of the Yang–Mills fields. In the system with non-zero self interaction the amplitudes of the perturbation are inversely proportional to the Yang–Mills coupling constant. In a cosmological background, the Yang–Mills fields and the gravitational wave interact when they are in the same direction even without self interaction of the Yang–Mills progressive fields. We find that in the electroweak symmetry broken phase of the gauge fields, the interactions are perturbative only for an infinitesimal time.
期刊介绍:
General Relativity and Gravitation is a journal devoted to all aspects of modern gravitational science, and published under the auspices of the International Society on General Relativity and Gravitation.
It welcomes in particular original articles on the following topics of current research:
Analytical general relativity, including its interface with geometrical analysis
Numerical relativity
Theoretical and observational cosmology
Relativistic astrophysics
Gravitational waves: data analysis, astrophysical sources and detector science
Extensions of general relativity
Supergravity
Gravitational aspects of string theory and its extensions
Quantum gravity: canonical approaches, in particular loop quantum gravity, and path integral approaches, in particular spin foams, Regge calculus and dynamical triangulations
Quantum field theory in curved spacetime
Non-commutative geometry and gravitation
Experimental gravity, in particular tests of general relativity
The journal publishes articles on all theoretical and experimental aspects of modern general relativity and gravitation, as well as book reviews and historical articles of special interest.