V. A. Goy

Temperature dependence of the axial magnetic effect in two-color quenched QCD

The Axial Magnetic Effect is the generation of an equilibrium dissipationless energy flow of chiral fermions in the direction of the axial (chiral) magnetic field. At finite temperature the dissipationless energy transfer may be realized in the absence of any chemical potentials. We numerically study the temperature behavior of the Axial Magnetic Effect in quenched SU(2) lattice gauge theory. We show that in the confinement (hadron) phase the effect is absent. In the deconfinement transition region the conductivity quickly increases, reaching the asymptotic

New approach to canonical partition functions computation in

T^2

N_f=2

behavior in a deep deconfinement (plasma) phase. Apart from an overall proportionality factor, our results qualitatively agree with theoretical predictions for the behavior of the energy flow as a function of temperature and strength of the axial magnetic field.

lattice QCD at finite baryon density

We propose and test a new approach to computation of canonical partition functions in lattice QCD at finite density. We suggest a few steps procedure. We first compute numerically the quark number density for imaginary chemical potential

Two-color QCD with chiral chemical potential

i\mu_{qI}

Lattice Study of QCD Phase Structure by Canonical Approach

. Then we restore the grand canonical partition function for imaginary chemical potential using fitting procedure for the quark number density. Finally we compute the canonical partition functions using high precision numerical Fourier transformation. Additionally we compute the canonical partition functions using known method of the hopping parameter expansion and compare results obtained by two methods in the deconfining as well as in the confining phases. The agreement between two methods indicates the validity of the new method. Our numerical results are obtained in two flavor lattice QCD with clover improved Wilson fermions.

Study of axial magnetic effect

The phase diagram of two-color QCD with a chiral chemical potential is studied on the lattice. The focus is on the confinement/deconfinement phase transition and the breaking/restoration of chiral symmetry. The simulations are carried out with dynamical staggered fermions without rooting. The dependence of the Polyakov loop, the chiral condensate and the corresponding susceptibilities on the chiral chemical potential and the temperature are presented.

The Casimir effect and deconfinement phase transition

We investigate the potential for using the canonical ensemble approach to determine the QCD phase diagram in the temperature - density plane. This approach allows us to study the finite baryon density regions where the well-known sign problem obstructs the standard lattice QCD numerical study. Using the canonical ensemble approach, we perform lattice QCD simulations at the pure imaginary quark chemical potential. In this case no sign problem occurs. We then calculate physical quantities at the real chemical potential through the canonical partition functions. In this approach, the canonical partition functions,

Casimir effect on the lattice: U(1) gauge theory in two spatial dimensions

Z_n

Restoring canonical partition functions from imaginary chemical potential

, play an essential role for mapping the information from the pure imaginary chemical potential values to the real ones. We analyze how inaccuracies in the numerical data obtained at the imaginary chemical potential affect the results for the real values, where the QCD predictions confront experimental quark-gluon plasma (QGP) data. We compute the higher moments of the baryon number including the kurtosis and compare our results with information from relativistic heavy-ion collisions.