scholarly journals Phase fluctuation of fermion determinant in lattice QCD at finite density

2004 ◽  
Vol 129-130 ◽  
pp. 539-541 ◽  
Author(s):  
Yuji Sasai ◽  
Atsushi Nakamura ◽  
Tetsuya Takaishi
2015 ◽  
Author(s):  
Rajiv V. Gavai ◽  
Sayantan Sharma

2007 ◽  
Vol 22 (07n10) ◽  
pp. 473-489
Author(s):  
Atsushi NAKAMURA

This is a short overview of the lattice QCD simulations of finite density systems. We first describe a brief introduction of the lattice QCD at finite density, including the minimum necessary formulation, where we show why an annoying complex fermion determinant appears, and why in some cases it does not appear. Then we review several approaches of present and past days. We conclude possible directions of lattice QCD simulations at finite density in near future.


2002 ◽  
Vol 16 (14n15) ◽  
pp. 2017-2032 ◽  
Author(s):  
KEH-FEI LIU

I will review the finite density algorithm for lattice QCD based on finite chemical potential and summarize the associated difficulties. I will propose a canonical ensemble approach which projects out the finite baryon number sector from the fermion determinant. For this algorithm to work, it requires an efficient method for calculating the fermion determinant and a Monte Carlo algorithm which accommodates unbiased estimate of the probability. I shall report on the progress made along this direction with the Padé–Z2 estimator of the determinant and its implementation in the newly developed Noisy Monte Carlo algorithm.


1990 ◽  
Vol 342 (1) ◽  
pp. 269-278 ◽  
Author(s):  
I.M. Barbour ◽  
Z.A. Sabeur
Keyword(s):  

2013 ◽  
Vol 88 (11) ◽  
Author(s):  
Junichi Takahashi ◽  
Keitaro Nagata ◽  
Takuya Saito ◽  
Atsushi Nakamura ◽  
Takahiro Sasaki ◽  
...  

1986 ◽  
Vol 275 (2) ◽  
pp. 296-318 ◽  
Author(s):  
Ian Barbour ◽  
Nasr-Eddine Behilil ◽  
Elbio Dagotto ◽  
Frithjof Karsch ◽  
Adriana Moreo ◽  
...  
Keyword(s):  

2020 ◽  
Author(s):  
Atsushi Nakamura ◽  
Vitaly Bornyakov ◽  
Denis Boyda ◽  
Vladimir Alexandrovich Goy ◽  
Alexander Molochkov

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