{"title":"有限重子密度下强耦合LQCD的连续时间模拟","authors":"Marc Klegrewe, W. Unger","doi":"10.22323/1.363.0163","DOIUrl":null,"url":null,"abstract":"We study lattice QCD in the limit of infinite gauge coupling on a discrete spatial yet continuous Euclidean time lattice at finite baryon chemical potential $\\mu_B$. The continuous time framework is based on sending $N_\\tau\\rightarrow \\infty$ and the bare anisotropy to infinity while fixing the temperature in a non-perturbative setup. This leads to a sign problem free algorithm that allows us to study the whole $\\mu_B$-$T$ plane. We construct Taylor coefficients required for a Taylor expansion in the pressure at zero chemical potential and in the chiral limit. On that account, cumulants in the baryon number density are measured in various fashions to improve on accuracy. These calculations are based on our worm type Monte Carlo algorithm featuring a polymer resummation scheme and a histogram method.","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Continuous Time Simulations of Strong Coupling LQCD at Finite Baryon Density\",\"authors\":\"Marc Klegrewe, W. Unger\",\"doi\":\"10.22323/1.363.0163\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study lattice QCD in the limit of infinite gauge coupling on a discrete spatial yet continuous Euclidean time lattice at finite baryon chemical potential $\\\\mu_B$. The continuous time framework is based on sending $N_\\\\tau\\\\rightarrow \\\\infty$ and the bare anisotropy to infinity while fixing the temperature in a non-perturbative setup. This leads to a sign problem free algorithm that allows us to study the whole $\\\\mu_B$-$T$ plane. We construct Taylor coefficients required for a Taylor expansion in the pressure at zero chemical potential and in the chiral limit. On that account, cumulants in the baryon number density are measured in various fashions to improve on accuracy. These calculations are based on our worm type Monte Carlo algorithm featuring a polymer resummation scheme and a histogram method.\",\"PeriodicalId\":147987,\"journal\":{\"name\":\"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-12-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22323/1.363.0163\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22323/1.363.0163","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Continuous Time Simulations of Strong Coupling LQCD at Finite Baryon Density
We study lattice QCD in the limit of infinite gauge coupling on a discrete spatial yet continuous Euclidean time lattice at finite baryon chemical potential $\mu_B$. The continuous time framework is based on sending $N_\tau\rightarrow \infty$ and the bare anisotropy to infinity while fixing the temperature in a non-perturbative setup. This leads to a sign problem free algorithm that allows us to study the whole $\mu_B$-$T$ plane. We construct Taylor coefficients required for a Taylor expansion in the pressure at zero chemical potential and in the chiral limit. On that account, cumulants in the baryon number density are measured in various fashions to improve on accuracy. These calculations are based on our worm type Monte Carlo algorithm featuring a polymer resummation scheme and a histogram method.