Thermodynamics of the System of Massive Dirac Fermions in a Uniform Magnetic Field

Abstract

We construct the grand partition function of the system of massive Dirac fermions in a uniform magnetic field from Landau levels, through which all thermodynamic quantities can be obtained. Making use of the Abel–Plana formula, these thermodynamic quantities can be expanded as power series with respect to the dimensionless variable b = 2eB/T 2. The zero-field magnetic susceptibility is expanded at zero mass, and the leading order term is logarithmic. We also calculate scalar, vector current, axial vector current and energy-momentum tensor of the system through ensemble average approach. Mass correction to chiral separation effect is discussed. For massless chiral fermions, our results recover the chiral magnetic effect for right- and left-handed fermions, as well as chiral separation effect.

Medium correction to gravitational form factors

“…虽然由于我 们计算中采用的运动学限制 , 在这里给出的 对手征流的贡献并不是主要的, 但上述结果与文献 [31] 的符合暗示了我们得到的形状因子的结果或定性 地反映了 的费米子与引力子散射的性质. 正？这将对费米子在磁场中的热力学 [43,44] 和手征 磁效应(最新的综述参见 [45] )均产生影响. 另一个 可能的拓展是讨论非相对论性的Weyl费米子, 相 应的电磁形状因子可被用于研究非相对论的手征 动理学理论中的辐射修正 [46] .…”

Lambda polarization in $^{108}$Ag +$^{108}$Ag and $^{197}$Au +$^{197}$Au collisions around a few GeV

“…The first approach assumes global equilibrium of spin degree of freedom so that the spin polarization is fully determined by thermal vorticity. In this case, the mean spin vector of spin-1/2 fermion with on-shell momentum p µ is given by [49][50][51][52],…”

Thermodynamics for a Rotating Chiral Fermion System in the Uniform Magnetic Field

“…For a uniformly rotating massless fermion system, the analytic expressions of the charge current and the energy-momentum tensor are obtained [9]. For the massive and massless fermion systems under the background of a uniform magnetic field, the general expansions with respect to fermion mass, magnetic field and chemical potential are derived by the approaches of proper-time and grand partition function [10][11][12]. There are also some investigations on the system of free fermion gas, quark matter or hadronic matter, with pure rotation [13][14][15], or with the coexistence of rotation and magnetic field [16,17], or with specific boundary conditions [18][19][20][21][22].…”