Study on Abelian dominance of Interquark potential in SU (3) Lattice QCD using simulation Techniques

It is assumed that no free quark to be found in nature. This is known as the confinement problem, is an issue which has no analytic proof till yet. But lattice QCD Monte Carlo simulations have shown that for large distances the quark antiquark potential varies linearly with interquark distance and controlled by the string tension. In the present work we have revisited the study of interquark potentials and Abelianization of QCD in Maximally Abelian gauge in context of dual superconducting picture. We have also observed the perfect Abelian dominance of the string tension for various spatial size lattices.

Study on Abelian dominance of Interquark potential in SU (3) Lattice QCD using simulation Techniques

It is assumed that no free quark to be found in nature. This is known as the confinement problem, is an issue which has no analytic proof till yet. But lattice QCD Monte Carlo simulations have shown that for large distances the quark antiquark potential varies linearly with interquark distance and controlled by the string tension. In the present work we have revisited the study of interquark potentials and Abelianization of QCD in Maximally Abelian gauge in context of dual superconducting picture. We have also observed the perfect Abelian dominance of the string tension for various spatial size lattices.

THE EQUATION OF STATE OF QUASI-PARTICLE MODEL OF QUARK–GLUON PLASMA AT FINITE CHEMICAL POTENTIAL

In this letter we propose a new method of calculating the equation of state (EOS) of quasi-particle model of quark–gluon plasma at finite chemical potential. In the quasi-particle model the quark propagator has the form of a free quark propagator with a temperature and density dependent effective mass. From this quark propagator the EOS at finite chemical potential is calculated using the model-independent formula proposed in Refs. 16 and 17. A comparison between our EOS and the cold, perturbative EOS of QCD proposed in Ref. 23 is made.

A GENERAL METHOD FOR CALCULATING PARTITION FUNCTION OF QCD AT FINITE CHEMICAL POTENTIAL

In this paper we propose a general method for calculating the partition function of QCD at finite chemical potential. It is found that the partition function is totally determined by the dressed quark propagator at finite chemical potential up to a multiplicative constant. From this a criterion for the phase transition between the Nambu and the Wigner phase is obtained. This general method are applied to two specific cases: the free quark theory and QCD with a model dressed quark propagator proposed in H . Pagels and S. Stokar, Phys. Rev. D20, 2947 (1979). In the first case, the standard Fermi distribution at T = 0 are reproduced. In the second case, a particular form of baryon number distribution is obtained. It is found that when μ is below a critical value, the baryon number density is identically zero, which agrees with the general conclusion in M. A. Halasz et al., Phys. Rev. D58, 096007 (1998). All the results in the present paper are obtained under the condition T = 0 and μ ≠ 0. However, they can be generalized to the the general situation T ≠ 0 and μ ≠ 0 without fundamental difficulty.

STRANGE STAR IN THE PRESENCE OF A STRONG MAGNETIC FIELD

We study the effect of a strong magnetic field on interacting quark matter and apply the same to strange star. We find that interacting strange matter is less stable than noninteracting strange matter in the presence of a strong magnetic field. We then calculate strange star structure parameters such as mass and radius and find that the strange star is less compact for interacting quark matter than for free quark matter in presence of strong magnetic field. The maximum masses of strange stars are found to be within the recent observational limit.

HEAVY QUARK POLARIZATION AND ENERGY SPECTRA OF DECAY PRODUCTS IN SEMILEPTONIC DECAYS

We calculate in the free quark model energy distributions of final lepton and quark pairs from c and b quark semileptonic decays in e−e+ colliders. Polarizations and spin-spin correlations of heavy quark pair are discussed, which will test the vector and axial vector couplings of the Weinberg-Salam model especially near the Z peak.