{"title":"Quark Gas at High Temperature: Finite-Volume Effects","authors":"R. N. Rogalyov, N. V. Gerasimeniuk, A. A. Korneev","doi":"10.1134/S1063779624701521","DOIUrl":null,"url":null,"abstract":"<p>It is shown that the standard formula for the pressure of a gas of free massless fermions leads to negative probabilities when the fermion number of the system being equal to <i>n</i> if <i>n</i> is large. The ways of resolving this paradox are proposed. A detailed analysis of the corresponding partition function reveals the existence of the Roberge–Weiss transition in the absence of strong interactions.</p>","PeriodicalId":729,"journal":{"name":"Physics of Particles and Nuclei","volume":"56 2","pages":"275 - 280"},"PeriodicalIF":0.6000,"publicationDate":"2025-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics of Particles and Nuclei","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1063779624701521","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, PARTICLES & FIELDS","Score":null,"Total":0}
引用次数: 0
Abstract
It is shown that the standard formula for the pressure of a gas of free massless fermions leads to negative probabilities when the fermion number of the system being equal to n if n is large. The ways of resolving this paradox are proposed. A detailed analysis of the corresponding partition function reveals the existence of the Roberge–Weiss transition in the absence of strong interactions.
期刊介绍:
The journal Fizika Elementarnykh Chastits i Atomnogo Yadr of the Joint Institute for Nuclear Research (JINR, Dubna) was founded by Academician N.N. Bogolyubov in August 1969. The Editors-in-chief of the journal were Academician N.N. Bogolyubov (1970–1992) and Academician A.M. Baldin (1992–2001). Its English translation, Physics of Particles and Nuclei, appears simultaneously with the original Russian-language edition. Published by leading physicists from the JINR member states, as well as by scientists from other countries, review articles in this journal examine problems of elementary particle physics, nuclear physics, condensed matter physics, experimental data processing, accelerators and related instrumentation ecology and radiology.