{"title":"非对易p波全息超导体","authors":"Souvik Paul and Sunandan Gangopadhyay","doi":"10.1088/1361-6382/ae02d9","DOIUrl":null,"url":null,"abstract":"In this work, we have studied the effects of noncommutative (NC) geometry on the properties of p-wave holographic superconductors with massive vector condensates in the probe limit. We have applied the Stürm–Liouville eigenvalue approach to analyse the model. In this model, we have calculated the critical temperature and the value of the condensation operator for two different values of m2. We have also shown how the influence of NC geometry modifies these quantities. Finally, by applying a linearised gauge field perturbation along the boundary direction, we calculated the holographic superconductor’s AC conductivity using a self-consistent approach and then carried out a more rigorous analysis. The NC effects are also found to be present in the result of AC conductivity. We have also found that just like the commutative case, here the DC conductivity diverges due to the presence of a first order pole in the frequency regime.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"82 1","pages":""},"PeriodicalIF":3.7000,"publicationDate":"2025-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Noncommutative p-wave holographic superconductors\",\"authors\":\"Souvik Paul and Sunandan Gangopadhyay\",\"doi\":\"10.1088/1361-6382/ae02d9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work, we have studied the effects of noncommutative (NC) geometry on the properties of p-wave holographic superconductors with massive vector condensates in the probe limit. We have applied the Stürm–Liouville eigenvalue approach to analyse the model. In this model, we have calculated the critical temperature and the value of the condensation operator for two different values of m2. We have also shown how the influence of NC geometry modifies these quantities. Finally, by applying a linearised gauge field perturbation along the boundary direction, we calculated the holographic superconductor’s AC conductivity using a self-consistent approach and then carried out a more rigorous analysis. The NC effects are also found to be present in the result of AC conductivity. We have also found that just like the commutative case, here the DC conductivity diverges due to the presence of a first order pole in the frequency regime.\",\"PeriodicalId\":10282,\"journal\":{\"name\":\"Classical and Quantum Gravity\",\"volume\":\"82 1\",\"pages\":\"\"},\"PeriodicalIF\":3.7000,\"publicationDate\":\"2025-09-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Classical and Quantum Gravity\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1088/1361-6382/ae02d9\",\"RegionNum\":3,\"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":"Classical and Quantum Gravity","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1088/1361-6382/ae02d9","RegionNum":3,"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}
In this work, we have studied the effects of noncommutative (NC) geometry on the properties of p-wave holographic superconductors with massive vector condensates in the probe limit. We have applied the Stürm–Liouville eigenvalue approach to analyse the model. In this model, we have calculated the critical temperature and the value of the condensation operator for two different values of m2. We have also shown how the influence of NC geometry modifies these quantities. Finally, by applying a linearised gauge field perturbation along the boundary direction, we calculated the holographic superconductor’s AC conductivity using a self-consistent approach and then carried out a more rigorous analysis. The NC effects are also found to be present in the result of AC conductivity. We have also found that just like the commutative case, here the DC conductivity diverges due to the presence of a first order pole in the frequency regime.
期刊介绍:
Classical and Quantum Gravity is an established journal for physicists, mathematicians and cosmologists in the fields of gravitation and the theory of spacetime. The journal is now the acknowledged world leader in classical relativity and all areas of quantum gravity.