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高维空间的对称及非对称反常与Atiyah-Singer指标定理
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作者 陈孟泉 邵常贵 《湖北大学学报(自然科学版)》 CAS 1996年第1期24-32,共9页
对左-右规范场的Wess—Zumino—Witten有效作用量进行联合规范交换,求出了对称和非对称反常,并讨论了反常和Atiyah—Singer指标定理之间关系.
关键词 对称反常 对称反常 A-S指标定理 规范场
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规范场论中高维空间的反常
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作者 陈孟泉 焦善庆 《昆明理工大学学报(理工版)》 2000年第6期26-29,共4页
对左右规范场的wess zumino witten有效作用量进行联合规范变换 ,得到对称与非对称反常 ;对参数积分 ,获得阿贝尔手征反常ω02n - 1 (A .F)与非阿贝尔手征反常ω1 2n(u.A) 分别在奇数维空间与偶数维空间中规范势的具体表示 .
关键词 规范场论 对称反常 对称反常 联合规范变换 参数积分
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QCD Chiral Phase Transition and Its Microscopic Origin
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作者 DING Hengtong 《原子核物理评论》 CAS 2024年第1期109-116,共8页
The transition of strong-interaction matter from the hadronic phase to the quark-gluon plasma phase is a rapid crossover but not a true phase transition in nature.The true phase transition of strong-interaction matter... The transition of strong-interaction matter from the hadronic phase to the quark-gluon plasma phase is a rapid crossover but not a true phase transition in nature.The true phase transition of strong-interaction matter is expected to exist only in certain limits,e.g.chiral limit of massless quarks and etc.In this contribution to CNPC2023 Special Issue we present our recent studies on the true phase transition of strong-interaction matter in the chiral limit of massless quarks as well as its microscopic origin.The study is based on(2+1)-flavor lattice QCD simulations using highly improved staggered fermions,with pion masses ranging from 160 MeV down to 55 MeV.Utilizing a newly proposed method to compute the quark mass derivatives of the Dirac eigenvalue spectrum on the lattice,it is found that the axial U(1)anomaly is still manifested at 1.6T_(c),with a microscopic origin consistent with the dilute instanton gas approximation.Furthermore,based on lattice QCD results and a generalized Banks-Casher relation,it is found that the macroscopic singularity of the chiral phase transition is encoded in the correlation of the Dirac eigenvalue spectrum.Future research directions along these findings are also discussed,including the investigation of the temperature range between T_(c) and 1.6 T_(c) to understand the breakdown of the dilute instanton gas approximation and its connection to the chiral phase transition. 展开更多
关键词 QCD phase structure Dirac eigenvalue spectrum axial anomaly chiral symmetry criticality
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