Thirring model at finite density in 2+1 dimensions with stochastic quantization

Thirring model at finite density in 2+1 dimensions with stochastic quantization
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具有随机量化的 2 1 维有限密度的 Thiring 模型

DOI:
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发表时间:
2013
期刊:
影响因子:
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通讯作者:
C. Zielinski
C. Zielinski
中科院分区:
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文献类型:
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作者:
J. Pawlowski;C. Zielinski

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我们考虑在2+1维有限密度的Thirring模型的推广。我们采用随机量子化和检查的适用性,在有限密度的情况下,以规避符号问题。为此,我们推导出的分析结果,在沉重的密集的限制,并比较从复杂的朗之万演化的数值计算。此外,我们利用间接指标来检查不正确的收敛的基础复杂的朗之万演化。该方法允许在任意值的化学势的观测值的数值评估。我们评估的结果,并比较(0+1)维的情况下。
We consider a generalization of the Thirring model in 2+1 dimensions at finite density. We employ stochastic quantization and check for the applicability in the finite density case to circumvent the sign problem. To this end we derive analytical results in the heavy dense limit and compare with numerical ones obtained from a complex Langevin evolution. Furthermore we make use of indirect indicators to check for incorrect convergence of the underlying complex Langevin evolution. The method allows the numerical evaluation of observables at arbitrary values of the chemical potential. We evaluate the results and compare to the (0+1)-dimensional case.