Hamiltonian lattice QCD at finite temperature and chemical potential. I. Minimum principle and Bogoliubov approximation

1988 ◽  
Vol 37 (12) ◽  
pp. 3691-3701 ◽  
Author(s):  
A. Le Yaouanc ◽  
L. Oliver ◽  
O. Pène ◽  
J.-C. Raynal ◽  
M. Jarfi ◽  
...  
Keyword(s):  
Lattice Qcd ◽  
Finite Temperature ◽  
Chemical Potential ◽  
Minimum Principle ◽  
Hamiltonian Lattice ◽  
Bogoliubov Approximation

Hamiltonian lattice QCD at finite temperature and chemical potential. II. Gauss-law constraint on the thermal excitations

1988 ◽  
Vol 37 (12) ◽  
pp. 3702-3715 ◽  
Author(s):  
A. Le Yaouanc ◽  
L. Oliver ◽  
O. Pène ◽  
J.-C. Raynal ◽  
M. Jarfi ◽  
...  
Keyword(s):  
Lattice Qcd ◽  
Finite Temperature ◽  
Chemical Potential ◽  
Hamiltonian Lattice

scholarly journals Equation of state at finite temperature and chemical potential, lattice QCD results

2004 ◽  
Vol 2004 (05) ◽  
pp. 046-046 ◽  
Author(s):  
F Csikor ◽  
G.I Egri ◽  
Z Fodor ◽  
S.D Katz ◽  
K.K Szabo ◽  
...  
Keyword(s):  
Equation Of State ◽  
Lattice Qcd ◽  
Finite Temperature ◽  
Chemical Potential

scholarly journals Lattice QCD at Finite Temperature and Density

2007 ◽  
Vol 22 (07n10) ◽  
pp. 457-471 ◽  
Author(s):  
M. P. LOMBARDO
Keyword(s):  
Lattice Qcd ◽  
Finite Temperature ◽  
Taylor Expansion ◽  
Critical Line ◽  
Chemical Potential ◽  
Normal Phase ◽  
Theoretical Physics ◽  
General Introduction ◽  
Sign Problem ◽  
The Subject

A general introduction into the subject aimed at a general theoretical physics audience. We introduce the sign problem posed by finite density lattice QCD, and we discuss the main methods proposed to circumvent it, with emphasis on the imaginary chemical potential approach. The interrelation between Taylor expansion and analytic continuation from imaginary chemical potential is discussed in detail. The main applications to the calculation of the critical line, and to the thermodynamics of the hot and normal phase are reviewed.

scholarly journals Phase Structures of Strong Coupling Lattice QCD with Overlap Fermions at Finite Temperature and Chemical Potential

2007 ◽  
Vol 22 (07n10) ◽  
pp. 537-546 ◽  
Author(s):  
XIAO-LU YU ◽  
XIANG-QIAN LUO
Keyword(s):  
Lattice Qcd ◽  
Strong Coupling ◽  
Finite Temperature ◽  
Chemical Potential ◽  
Order Approximation ◽  
Tricritical Point ◽  
Chiral Condensate ◽  
Mean Field Approximation ◽  
Lattice Action ◽  
Chiral Phase

Lattice QCD at finite temperature T and chemical potential μ is studied analytically in the strong coupling limit with overlap fermions. We start from the first order approximation of lattice action with generalized overlap (GO) fermions to derive an effective free energy written in terms of chiral condensate as a function of T and μ with the use of mean field approximation. We elucidate the phase structure on the (μ, T) plane and discover the tricritical point separating the first and the second order chiral phase transition. Discussion of the doubling problem and higher order terms are given.

scholarly journals BROWN-RHO SCALING IN THE STRONG COUPLING LATTICE QCD

2008 ◽  
Vol 23 (27n30) ◽  
pp. 2459-2464 ◽  
Author(s):  
A. OHNISHI ◽  
N. KAWAMOTO ◽  
K. MIURA
Keyword(s):  
Lattice Qcd ◽  
Strong Coupling ◽  
Finite Temperature ◽  
Chemical Potential ◽  
Chiral Condensate ◽  
Strong Coupling Limit ◽  
Analytical Expression

We examine the Brown-Rho scaling for meson masses in the strong coupling limit of lattice QCD with one species of staggered fermion. Analytical expression of meson masses is derived at finite temperature and chemical potential. We find that meson masses are approximately proportional to the equilibrium value of the chiral condensate, which evolves as a function of temperature and chemical potential.

scholarly journals Lattice QCD at finite temperature: present status

2009 ◽  
Vol 830 (1-4) ◽  
pp. 11c-18c ◽  
Author(s):  
Péter Petreczky
Keyword(s):  
Lattice Qcd ◽  
Present Status ◽  
Finite Temperature
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