New approach to canonical partition functions computation in N_f = 2 lattice QCD at finite baryon density

V. G. Bornyakov; D. L. Boyda; V. A. Goy; A. V. Molochkov; Atsushi Nakamura; A. A. Nikolaev; V. I.  Zakharov

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New approach to canonical partition functions computation in N_f = 2 lattice QCD at finite baryon density

机译：N_F = 2个晶格QCD在Unitite Baryon密度下的新方法

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We propose and test a new approach to computation of canonical partition functions in lattice QCD at finite density. We suggest a few steps procedure. We first compute numerically the quark number density for imaginary chemical potential iμ_(qI). Then we restore the grand canonical partition function for imaginary chemical potential using the fitting procedure for the quark number density. Finally we compute the canonical partition functions using high precision numerical Fourier transformation. Additionally we compute the canonical partition functions using the known method of the hopping parameter expansion and compare results obtained by two methods in the deconfining as well as in the confining phases. The agreement between two methods indicates the validity of the new method. Our numerical results are obtained in two flavor lattice QCD with clover improved Wilson fermions.

机译：我们提出并测试了在有限密度下晶格QCD计算规范分区功能的新方法。我们建议一些步骤程序。我们首先计算数值计算虚构化学潜力Iμ_（Qi）的夸克数密度。然后，我们使用Quark数密度的拟合程序恢复虚拟化学电位的大规范分区功能。最后，我们使用高精度数值傅里叶变换来计算规范分区功能。另外，我们使用跳跃参数扩展的已知方法计算规范分区函数，并比较在欺骗性的两种方法中获得的结果以及限制阶段。两种方法之间的协议表示新方法的有效性。我们的数值结果是在两种味道QCD中获得的，具有三叶草改善了威尔逊费米子。

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《Physical Review D》 |2017年第12期|094506.1-094506.10|共10页
作者
V. G. Bornyakov; D. L. Boyda; V. A. Goy; A. V. Molochkov; Atsushi Nakamura; A. A. Nikolaev; V. I. Zakharov;
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Institute for High Energy Physics NRC Kurchatov Institute 142281 Protvino Russia Institute of Theoretical and Experimental Physics NRC Kurchatov Institute 117218 Moscow Russia and School of Biomedicine Far Eastern Federal University 690950 Vladivostok Russia;

School of Natural Sciences Far Eastern Federal University 690950 Vladivostok Russia School of Biomedicine Far Eastern Federal University 690950 Vladivostok Russia and Institute of Theoretical and Experimental Physics NRC Kurchatov Institute 117218 Moscow Russia;

School of Natural Sciences Far Eastern Federal University 690950 Vladivostok Russia School of Biomedicine Far Eastern Federal University 690950 Vladivostok Russia and Institute of Theoretical and Experimental Physics NRC Kurchatov Institute 117218 Moscow Russia;

School of Biomedicine Far Eastern Federal University 690950 Vladivostok Russia and Institute of Theoretical and Experimental Physics NRC Kurchatov Institute 117218 Moscow Russia;

School of Biomedicine Far Eastern Federal University 690950 Vladivostok Russia Research Center for Nuclear Physics (RCNP) Osaka University Ibaraki Osaka 567-0047 Japan and Theoretical Research Division Nishina Center RIKEN Wako 351-0198 Japan;

School of Biomedicine Far Eastern Federal University 690950 Vladivostok Russia and Institute of Theoretical and Experimental Physics NRC Kurchatov Institute 117259 Moscow Russia;

Institute of Theoretical and Experimental Physics NRC Kurchatov Institute 117259 Moscow Russia School of Biomedicine Far Eastern Federal University 690950 Vladivostok Russia and Moscow Institute of Physics and Technology Dolgoprudny Moscow Region 141700 Russia;

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专利

1. New approach to canonical partition functions computation in N_f = 2 lattice QCD at finite baryon density [J] . V. G. Bornyakov, D. L. Boyda, V. A. Goy, Physical review, D . 2017,第9期

机译：N_F = 2个晶格QCD在Unitite Baryon密度下的新方法
2. Study of lattice QCD at finite baryon density using the canonical approach [J] . V. G. Bornyakov, D. L. Boyda, V. A. Goy, EPJ Web of Conferences . 2017,第2期

机译：用规范方法研究有限重子密度下的晶格QCD
3. New Canonical and Grand Canonical Density of States Techniques for Finite Density Lattice QCD [J] . Christof Gattringer, Michael Mandl, Pascal T?rek Particles . 2020,第1期

机译：有限密度格子QCD的新规范和大规范密度
4. THE BARYON FLUX TUBE STRUCTURE IN N_F = 2 QCD AT NONZERO TEMPERATURE [C] . Y. Mori, H. Ichie, V. Bornyakov, International Conference on Quark Confinement and the Hadron Spectrum . 2003

机译：在非零温度下N_F = 2 QCD中的Baryon通量管结构
5. Flavor Physics with Heavy Baryons and Resonances Using Lattice QCD [D] . ?Rendon Suzuki, Jesus Gumaro 2019

机译：使用晶格QCD的重型压亚顿和共振的风味物理
6. Computing the partition function ensemble averages and density of states for lattice spin systems by sampling the mean [O] . Dirk Gillespie -1

机译：通过采样均值来计算晶格自旋系统的分区函数集合平均和状态密度
7. New approach to canonical partition functions computation in $N_f=2$ lattice QCD at finite baryon density [O] . Bornyakov, V. G., Boyda, D. L., Goy, V. A., 2016

机译：$ N_f = 2 $中规范分区函数计算的新方法有限重子密度下的晶格QCD

New approach to canonical partition functions computation in N_f = 2 lattice QCD at finite baryon density

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