Finite density phase transition of QCD with N-f=4 and N-f=2 using canonical ensemble method
Abstract
In a progress toward searching for the QCD critical point, we study the finite density
phase transition of N-f = 4 and 2 lattice QCD at finite temperature with the canonical
ensemble approach. We develop a winding number expansion method to accurately project
out the particle number from the fermion determinant which greatly extends the applicable
range of baryon number sectors to make the study feasible. Our lattice simulation
was carried out with the clover fermions and improved gauge action. For a given temperature,
we calculate the baryon-chemical potential from the canonical approach to look for
the mixed phase as a signal for the first-order phase transition. In the case of N-f
= 4, we observe an "S-shape'' structure in the chemical potential-density plane due
to the surface tension of the mixed phase in a finite volume which is a signal for
the first-order phase transition. We use the Maxwell construction to determine the
phase boundaries for three temperatures below T-c. The intersecting point of the two
extrapolated boundaries turns out to be at the expected first-order transition point
at T-c with mu = 0. This serves as a check for our method of identifying the critical
point. We also studied the N-f = 2 case, but do not see a signal of the mixed phase
for temperature as low as 0.83T(c).
Type
Other articleSubject
chiral-symmetry breakingquenched lattice qcd
wilson fermions
quantum chromodynamics
baryon density
monte-carlo
temperature
parity
restoration
algorithm
astronomy & astrophysics
physics, particles & fields
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https://hdl.handle.net/10161/4279Published Version (Please cite this version)
10.1103/PhysRevD.82.054502Citation
Li,Anyi;Alexandru,Andrei;Liu,Keh-Fei;Meng,Xiangfei;XQCD Collaboration. 2010. Finite
density phase transition of QCD with N-f=4 and N-f=2 using canonical ensemble method.
Physical Review D 82(5): 54502-54502.
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