Large N thirring matter in three dimensions
Large N thirring matter in three dimensions
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三维大氮物质
DOI：
10.1007/jhep07(2016)034
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发表时间：
2016
影响因子：
5.4
通讯作者：
M. Goykhman
中科院分区：
文献类型：
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作者：
M. Goykhman
本文计算了零温有限化学势下，具有Thirring类型的四种费米子相互作用的N种费米子三维系统的性质。我们观察到，该模型一致地符合朗道-费米液体理论的框架，并且具有非平凡的零点和第一朗道参数。我们的结果被导出到Thirring耦合常数的所有阶和大N展开的前导阶。特别地，我们求解了精确的电流-电流关联函数，并证明了它在零频率和两倍费米动量处表现出奇异的行为。
A bstractIn this paper we calculate properties of the three-dimensional system of N species of fermions at zero temperature and finite chemical potential, with the four-fermionic interaction of the Thirring type. We observe that this model fits consistently into framework of the Landau Fermi liquid theory, and possesses a non-trivial zeroth and first Landau parameters. Our result is derived to all orders of the Thirring coupling constant and to the leading order of the large-N expansion. In particular we solve for the exact current-current correlation function, and show that it exhibits a singular behavior at zero frequency and twice of the Fermi momentum.