Monte Carlo Simulation of the Three Dimensional Thirring Model
Monte Carlo Simulation of the Three Dimensional Thirring Model
复制标题
三维Thirring模型的蒙特卡罗模拟
DOI：
10.1016/0370-2693(96)00137-2
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发表时间：
1995
影响因子：
4.4
通讯作者：
S. Hands
中科院分区：
文献类型：
--
作者：
L. Debbio;S. Hands
通过对格子尺寸83和123，费米子个数Nf=2，4，6时的蒙特卡罗模拟，研究了三维时空中的Thirring模型。对于足够强的相互作用强度，我们发现当Nf=2，4时，手征对称性发生自发破缺，这与Schwinger-Dyson方法的预言一致。发生的相变是连续的，并且具有依赖于Nf的临界标度行为。对于Nf=6，我们的结果是初步的，没有关于手征对称破缺的存在或不存在的确切结论。
We study the Thirring model in three spacetime dimensions, by means of Monte Carlo simulation on lattice sizes 83and 123, for number of Fermion flavors NF= 2, 4, 6. For sufficiently strong interaction strength, we find that spontaneous chiral symmetry breaking occurs for NF= 2, 4, in accordance with the predictions of the Schwinger-Dyson approach. The phase transitions which occur are continuous and with critical scaling behaviour depending on NF. For NF= 6 our results are preliminary, and no firm conclusions about the existence or otherwise of chiral symmetry breaking are possible.