{"title":"QFT 有限公式中的有效势能","authors":"Sander Mooij, Mikhail Shaposhnikov","doi":"10.1016/j.nuclphysb.2024.116642","DOIUrl":null,"url":null,"abstract":"<div><p>In recent works <span><span>[1]</span></span>, <span><span>[2]</span></span>, we have shown how <em>n</em>-point correlation functions in perturbative QFT can be computed without running into intermediate divergences. Here we want to illustrate explicitly that one can calculate the quantum effective potential by the same method. As a main example, we consider a theory with two fields having large and small vacuum expectation values (vev). We show that no fine-tuning between the <em>physical quantities</em> is needed to keep the hierarchy between the vevs of different fields.</p></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1006 ","pages":"Article 116642"},"PeriodicalIF":2.5000,"publicationDate":"2024-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0550321324002086/pdfft?md5=f96198598c2f456964cc700fd194b70a&pid=1-s2.0-S0550321324002086-main.pdf","citationCount":"0","resultStr":"{\"title\":\"Effective potential in finite formulation of QFT\",\"authors\":\"Sander Mooij, Mikhail Shaposhnikov\",\"doi\":\"10.1016/j.nuclphysb.2024.116642\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In recent works <span><span>[1]</span></span>, <span><span>[2]</span></span>, we have shown how <em>n</em>-point correlation functions in perturbative QFT can be computed without running into intermediate divergences. Here we want to illustrate explicitly that one can calculate the quantum effective potential by the same method. As a main example, we consider a theory with two fields having large and small vacuum expectation values (vev). We show that no fine-tuning between the <em>physical quantities</em> is needed to keep the hierarchy between the vevs of different fields.</p></div>\",\"PeriodicalId\":54712,\"journal\":{\"name\":\"Nuclear Physics B\",\"volume\":\"1006 \",\"pages\":\"Article 116642\"},\"PeriodicalIF\":2.5000,\"publicationDate\":\"2024-07-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S0550321324002086/pdfft?md5=f96198598c2f456964cc700fd194b70a&pid=1-s2.0-S0550321324002086-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nuclear Physics B\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0550321324002086\",\"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/S0550321324002086","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}
In recent works [1], [2], we have shown how n-point correlation functions in perturbative QFT can be computed without running into intermediate divergences. Here we want to illustrate explicitly that one can calculate the quantum effective potential by the same method. As a main example, we consider a theory with two fields having large and small vacuum expectation values (vev). We show that no fine-tuning between the physical quantities is needed to keep the hierarchy between the vevs of different fields.
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.
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