{"title":"有限导数与积分算子。穆勒-兹维巴赫之谜","authors":"Carlos Heredia Pimienta, Josep Llosa","doi":"10.1088/1751-8121/ad4aa5","DOIUrl":null,"url":null,"abstract":"\n We study the relationship between integral and infinite-derivative operators. In particular, we examine the operator $p^{\\frac{1}{2}\\,\\partial_t^2}\\,$ that appears in the theory of $p$-adic string fields, as well as the Moyal product that arises in non-commutative theories. We also try to clarify the apparent paradox raised by Moeller and Zwiebach, which highlights the discrepancy between them.","PeriodicalId":502730,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":"67 5","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Infinite derivatives vs integral operators. The Moeller-Zwiebach puzzle\",\"authors\":\"Carlos Heredia Pimienta, Josep Llosa\",\"doi\":\"10.1088/1751-8121/ad4aa5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\\n We study the relationship between integral and infinite-derivative operators. In particular, we examine the operator $p^{\\\\frac{1}{2}\\\\,\\\\partial_t^2}\\\\,$ that appears in the theory of $p$-adic string fields, as well as the Moyal product that arises in non-commutative theories. We also try to clarify the apparent paradox raised by Moeller and Zwiebach, which highlights the discrepancy between them.\",\"PeriodicalId\":502730,\"journal\":{\"name\":\"Journal of Physics A: Mathematical and Theoretical\",\"volume\":\"67 5\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-05-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Physics A: Mathematical and Theoretical\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1088/1751-8121/ad4aa5\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Physics A: Mathematical and Theoretical","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/1751-8121/ad4aa5","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Infinite derivatives vs integral operators. The Moeller-Zwiebach puzzle
We study the relationship between integral and infinite-derivative operators. In particular, we examine the operator $p^{\frac{1}{2}\,\partial_t^2}\,$ that appears in the theory of $p$-adic string fields, as well as the Moyal product that arises in non-commutative theories. We also try to clarify the apparent paradox raised by Moeller and Zwiebach, which highlights the discrepancy between them.