论文标题
在有限温度下具有总纽带的伪量子电动力学中的动力学质量产生
Dynamical Mass Generation in Pseudo Quantum Electrodynamics with Gross-Neveu Interaction at finite temperature
论文作者
论文摘要
我们研究了在零和有限温度下的伪量子电动力学（PQED）中的动力学质量产生（PQED），在（2+1）尺寸中，在（2+1）尺寸中耦合。我们从无间隙模型开始，并表明在特定条件下，会出现动态产生的质量。为此，我们在假想的形式主义中使用截短的schwinger-dyson方程，在大N近似中使用。在瞬时交换近似（静态状态）中，我们获得了两个关键参数，即费米子的关键数量$ n_c（t）$以及临界耦合常数$α_c（t）$作为温度的函数以及截止$λ$的函数，必须由实验者提供。在动力学方面，我们找到了质量函数$σ（p，t）$的分析解决方案，以及$ p = 0 $的零外部动量解决方案。我们将分析结果与数值测试进行比较，并找到良好的一致性。
We study the dynamical mass generation in Pseudo Quantum Electrodynamics (PQED) coupled to the Gross-Neveu (GN) interaction, in (2+1) dimensions, at both zero and finite temperatures. We start with a gapless model and show that, under particular conditions, a dynamically generated mass emerges. In order to do so, we use a truncated Schwinger-Dyson equation, at the large-N approximation, in the imaginary-time formalism. In the instantaneous-exchange approximation (the static regime), we obtain two critical parameters, namely, the critical number of fermions $N_c(T)$ and the critical coupling constant $α_c(T)$ as a function of temperature and of the cutoff $Λ$, which must be provided by experiments. In the dynamical regime, we find an analytical solution for the mass function $Σ(p,T)$ as well as a zero-external momentum solution for $p=0$. We compare our analytical results with numerical tests and a good agreement is found.
