Axial chiral vortical effect in a sphere with finite size effect

作     者：杨淑芸 方仁洪 侯德富 任海沧 Shu-Yun Yang;Ren-Hong Fang;De-Fu Hou;Hai-CangRen

作者机构：Institute of Particle Physics and Key Laboratory of Quark and Lepton Physics(MOS)Central China Normal UniversityWuhan 430079China Key Laboratory of Particle Physics and Particle Irradiation(MOE)Institute of Frontier and Interdisciplinary ScienceShandong UniversityQingdao 266237China Physics DepartmentThe Rockefeller University1230York AvenueNewYorkNY10021-6399 

出 版 物：《Chinese Physics C》 (中国物理C（英文版）)

年 卷 期：2023年第47卷第3期

页      面：187-205页

核心收录：

学科分类：08[工学] 0827[工学-核科学与技术] 0702[理学-物理学] 

基　　金：Supported by the National Key Research and Development Program of China(2022YFA1604900) the National Natural Science Foundation of China(11735007,11890710,11890711,11890713,12275104)。 

主　　题：heavy ion collisions quark-gluon plasmas axial-chiral-vortical-effect 

摘      要：We investigate the axial vortical effect in a uniformly rotating sphere subject to finite size.We use the MIT boundary condition to limit the boundary of the sphere.For massless fermions inside the sphere,we obtain the exact axial vector current far from the boundary that matches the expression obtained in cylindrical coordinates in literature.On the spherical boundary,we find both the longitudinal and transverse(with respect to the rotation axis)components with magnitude depending on the colatitude angle.For massive fermions,we derive an expansion of the axial conductivity far from the boundary to all orders of mass,whose leading order term agrees with the mass correc-tion reported in literature.We also obtain the leading order mass correction on the boundary,which is linear and stronger than the quadratic dependence far from the boundary.The qualitative implications on the phenomenology of heavy ion collisions are speculated.