APPLICATION OF MONOMER-DIMER ALGORITHMS IN STRONG COUPLING QCD

1992 ◽  
Vol 03 (01) ◽  
pp. 173-183
Author(s):  
J. Fingberg
Keyword(s):  
Phase Transition ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Partition Function ◽  
Strong Coupling ◽  
Quark Mass ◽  
Chiral Condensate ◽  
Global Symmetry ◽  
Lattice Action ◽  
Chiral Phase

We study the finite temperature chiral phase transition of SU(3) lattice QCD in the strong coupling limit using the monomer dimer polymer MDP representation of the partition function. By Monte Carlo simulation we measured the chiral condensate and the susceptibility as a function of temperature for various values of the quark mass. The effect of a global symmetry of the lattice action is discussed in terms of critical exponents.

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 Chiral phase transition of three flavor QCD with nonzero magnetic field using standard staggered fermions

2018 ◽  
Vol 175 ◽  
pp. 07041 ◽  
Author(s):  
Akio Tomiya ◽  
Heng-Tong Ding ◽  
Swagato Mukherjee ◽  
Christian Schmidt ◽  
Xiao-Dan Wang
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
Quark Mass ◽  
Chiral Condensate ◽  
Zero Magnetic Field ◽  
Chiral Phase ◽  
Chiral Phase Transition ◽  
Magnetic Catalysis ◽  
Staggered Fermions ◽  
The Magnetic Field

Lattice simulations for (2+1)-flavor QCD with external magnetic field demon-strated that the quark mass is one of the important parameters responsible for the (inverse) magnetic catalysis. We discuss the dependences of chiral condensates and susceptibilities, the Polyakov loop on the magnetic field and quark mass in three degenerate flavor QCD. The lattice simulations are performed using standard staggered fermions and the plaquette action with spatial sizes Nσ = 16 and 24 and a fixed temporal size Nτ = 4. The value of the quark masses are chosen such that the system undergoes a first order chiral phase transition and crossover with zero magnetic field. We find that in light mass regime, the quark chiral condensate undergoes magnetic catalysis in the whole temperature region and the phase transition tend to become stronger as the magnetic field increases. In crossover regime, deconfinement transition temperature is shifted by the magnetic field when quark mass ma is less than 0:4. The lattice cutoff effects are also discussed.

scholarly journals Statistical Mechanics of Discrete Multicomponent Fragmentation

2020 ◽  
Vol 5 (4) ◽  
pp. 64
Author(s):  
Themis Matsoukas
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Partition Function ◽  
Statistical Mechanics ◽  
Closed Form ◽  
Fixed Number ◽  
Arbitrary Degree ◽  
Fragment Distribution ◽  
The Mean ◽  
Fragmentation Event

We formulate the statistics of the discrete multicomponent fragmentation event using a methodology borrowed from statistical mechanics. We generate the ensemble of all feasible distributions that can be formed when a single integer multicomponent mass is broken into fixed number of fragments and calculate the combinatorial multiplicity of all distributions in the set. We define random fragmentation by the condition that the probability of distribution be proportional to its multiplicity, and obtain the partition function and the mean distribution in closed form. We then introduce a functional that biases the probability of distribution to produce in a systematic manner fragment distributions that deviate to any arbitrary degree from the random case. We corroborate the results of the theory by Monte Carlo simulation, and demonstrate examples in which components in sieve cuts of the fragment distribution undergo preferential mixing or segregation relative to the parent particle.

Critical exponents and the universality class of a minesweeper percolation model

2020 ◽  
Vol 31 (09) ◽  
pp. 2050129
Author(s):  
Yuqi Qing ◽  
Wen-Long You ◽  
Maoxin Liu
Keyword(s):  
Phase Transition ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Critical Exponents ◽  
Critical Density ◽  
Universality Class ◽  
Percolation Model ◽  
System Configuration ◽  
Percolation Transition ◽  
Second Order Phase Transition

We introduce a minesweeper percolation model, in which the system configuration is obtained via an automatic minesweeper process. For a variety of candidate networks with different lattice configurations, our process gives rise to a second-order phase transition. Using Monte Carlo simulation, we identify the critical points implied by giant components. A set of critical exponents are extracted to characterize the nature of the minesweeper percolation transition. The determined universality class shows a clear difference from the traditional percolation transition. A proper mine density of the minesweeper game should be set around the critical density.

Monte Carlo simulation of a binary mixture on the surface of a sphere: lateral phase transition and pattern formation

2010 ◽  
Vol 108 (10) ◽  
pp. 1329-1335 ◽  
Author(s):  
Ariel G. Meyra ◽  
Guillermo J. Zarragoicoechea ◽  
Victor A. Kuz
Keyword(s):  
Phase Transition ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Pattern Formation ◽  
Binary Mixture
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