Chiral symmetry restoration at finite temperature within the Hamiltonian approach to QCD in Coulomb gauge
Chiral symmetry restoration at finite temperature within the Hamiltonian approach to QCD in Coulomb gauge
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DOI：
10.1103/physrevd.98.034012
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发表时间：
2017-06
影响因子：
5
通讯作者：
M. Quandt;E. Ebadati;H. Reinhardt;P. Vastag
中科院分区：
文献类型：
--
作者：
M. Quandt;E. Ebadati;H. Reinhardt;P. Vastag
用库仑规范的哈密顿方法研究了QCD中夸克扇区的手性相变。有限温度$T$是通过紧化一个空间维度引入的，这使得所有的热力学量都可以从空间流形$\mathbb{R}^2 \乘以S^1(1/T)$的基态获得。在消失的夸克-胶子耦合的极限下，对夸克扇形的运动方程进行了数值求解，对手性夸克凝聚进行了计算，并与基于大正则系综密度算子的有限温度哈密顿QCD的常规正则方法的结果进行了比较。对于零裸夸克质量，我们发现了临界温度约为107 \，\mathrm{MeV}$的二阶手性相变。
The chiral phase transition of the quark sector of QCD is investigated within the Hamiltonian approach in Coulomb gauge. Finite temperatures $T$ are introduced by compactifying one spatial dimension, which makes all thermodynamical quantities accessible from the ground state on the spatial manifold $\mathbb{R}^2 \times S^1(1/T)$. In the limit of a vanishing quark-gluon coupling, the equations of motion of the quark sector are solved numerically and the chiral quark condensate is evaluated and compared to the results of the usual canonical approach to finite-temperature Hamiltonian QCD based on the density operator of the grand canonical ensemble. For zero bare quark masses, we find a second-order chiral phase transition with a critical temperature of about $107 \, \mathrm{MeV}$.