具有化学势的（超）量子力学矩阵模型的相变
Phase Transitions of a (Super) Quantum Mechanical Matrix Model with a Chemical Potential
摘要：
本文用蒙特卡罗模拟研究了化学势项在U（N）矩阵的单迹上为线性的有限温度矩阵量子力学。在玻色子情况下，我们证明了Gross-Witten-Wadia（GWW）型三阶相变的存在。我们还扩展我们的研究与费米自由度采用非晶格模拟通过傅立叶展开的模型，并探讨了可能性，有一个相变之间的间隙和unapped阶段无论是在存在和不存在的化学势项。我们比较了玻色子和费米子的相图。
英文摘要：
In this paper, we study the finite-temperature matrix quantum mechanics with chemical potential term linear in the single trace of U(N) matrices, via Monte Carlo simulation. In the bosonic case, we exhibit the existence of the Gross-Witten-Wadia (GWW) type third-order phase transition. We also extend our studies to the model with the fermionic degrees of freedom employing the non-lattice simulation via Fourier expansion, and explore the possibilities that there is a phase transition between the gapped and ungapped phase both in the absence and presence of the chemical potential term. We make a comparison of the phase diagram between the bosonic and fermionic cases.
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